Applied Mathematics and Quantum Computing Research Group

The work of the group covers the areas of quantum computing, discrete mathematics, theory of elasticity, probability theory, statistics and reliability. The group has a very high international profile and collaborates with many universities worldwide. Current projects of group include:

  • Quantum computing and quantum optical communications.
  • Finite Quantum Systems. Galois fields in Quantum Computing and applications to coding and cryptography.
  • Algebraic number theory (e.g., p-adic numbers) in Quantum Mechanics and harmonic analysis.
  • Analytic functions in quantum computing.
  • Group theory methods (e.g., profinite groups) in quantum computing.
  • Lattices, topology and logic in the context of quantum computing.
  • Time-frequency analysis, wavelets, applications to large data analysis.
  • Mesoscopic Josephson devices.
  • Solution of non-linear partial differential equations and their systems.
  • Continuum mechanics, theory of Elasticity.
  • Probability and statistics.
  • Reliability theory.
  • Numerical analysis and Pade approximants.

How to Apply

Full details of how to apply are available in the Faculty's section for research students.

Further information on Research Degrees is available on the University website.

Contact

Group Leader - Professor A Vourdas

Faculty of Engineering and informatics
Computer Science
University of Bradford
Bradford BD7 1DP
UK

Tel: 01274 233950, overseas - 44 1274 233950
E-mail: A.Vourdas@Bradford.ac.uk

People

Academic Staff

Current Students

  • Stephen Miller
  • Semiu Oladejo
  • Tominiyi Olupitan
  • Hend Abdelgader Eissa
  • Sanfo David Agyo
  • Pavlos Evangelides

Previous Research Students - Graduates

  • Christos Dedes - Thesis Title: Interference and correlation effects in multimode quantum systems
  • Sheng Zhang - Thesis Title: Quantum Phase Space Methods and their Applications
  • Areej Shhab - Thesis Title: Applications of Artificial Intelligence Systems in Knowledge Discovery and Data Mining
  • Ci Lei - Thesis Title: Analytic representations and their applications to fourier multiport device
  • Zuriati Ahmad Zukarnain - Thesis Title: Entaglement of SQUID Rings
  • Panagiotis Artikis - Thesis Title:  Properties and Applications in Systems Operations under Risk of Exponential-Uniform Multiplicative Model and Related Sums
  • Constantinos Artikis - Thesis Title: Poisson Random Sums of Alpha-Monotone Random Variables in Risk Management
  • Lina Wang - Thesis Title: Symplectic transformations and entanglement in finite quantum systems
  • Hilal Ali Abdullah Al-Hadrami - Thesis Title: Phase space methods in finite quantum systems
  • Iman Sadek Alansari - Thesis Title: Integrating student self-assessment and feedback in e-learning applications: a proposed educational model
  • Muna Masaud Jabuni - Thesis Title: Analytic representations of finite quantum systems on a torus
  • Ahmad Ammari - Thesis Title: Transforming user data into user value by novel mining techniques for extraction of web content, structure and usage patterns
  • Souad Mugassabi - Thesis Title: Schrödinger equation with periodic potentials
  • Bahari Idrus - Thesis Title: Quantum correlations and measurements in tri-partite quantum systems
  • Abdelgader Mohamed - Thesis Title: A new class of coherent states and its properties
  • Mohamed Mahmoud Shalaby - Thesis Title: Weak mutually unbiased bases with applications to quantum cryptography and tomography
  • Somia Muftah Amsheri  - Thesis Title: Fractional calculus operator and its applications to certain classes of analytic functions

Publications

Journal Publications

2016

  • Olupitan, T, Lei, C and Vourdas, A (2016): "An analytic function approach to weak mutually unbiased bases" Ann. Phys., 371 1-19
    Publication ID: [4884]
  • Eissa, H, Evangelides, P, Lei, C and Vourdas, A (2016): "Paths of zeros of analytic functions describing finite quantum systems" Phys. Lett. A, 380 548-553
    Publication ID: [4711]
  • Olupitan, T., Lei, C. and Vourdas, A. (2016): "An analytic function approach to weak mutually unbiased bases" Annals of Physics, Elsevier Science, 371 1-19
    Publication ID: [4885]
  • Eissa, H, Evangelides, P, Lei, C and Vourdas, A (2016): "Paths of zeros of analytic functions describing finite quantum systems" Physics Letters A, Elsevier Science, 380 (4): 548
    Publication ID: [4725]
  • Vourdas A (2016): "Coherent spaces, Boolean rings and quantum gates" Annals of Physics, 373 557-580
    Publication ID: [4973]
  • Vourdas A (2016): "Mobius operators and non-additive quantum probabilities in the Birkhoff-von Neumann lattice" J. Geom. Phys., Elsevier, 101 38-51
    Publication ID: [4723]
  • Vourdas A (2016): "Comonotoniciy and Choquet integrals of Hermitian operators and their applications" J. Phys. A, 49 145002
    Publication ID: [4843]

2015

  • Evangelides, P., Lei, C. and Vourdas, A. (2015): "Analytic representations with theta functions for systems on Z(d) and on S" Journal of Mathematical Physics, American Institute of Physics, 56 (7): 072108
    Publication ID: [4667]
  • Agyo, S, Lei, C and Vourdas, A (2015): "Interpolation between phase space quantities with bifractional displacement operators" Physics Letters A, 379 255-260
    Publication ID: [4226]

2014

  • Oladejo, S.O., Lei, C. and Vourdas, A. (2014): "Partial ordering of weak mutually unbiased bases" Journal of Physics A: Mathematical and Theoretical, Institute of Physics, 47 (48): 485204
    Publication ID: [4665]
  • Vourdas A (2014): "Lower and upper probabilities in the distributive lattice of subsystems" J. Phys. A, 47 345203
    Publication ID: [4169]
  • Vourdas A (2014): "Quantum probabilities as Dempster-Shafer probabilities in the lattice of subspaces" J. Math. Phys., 55 082107
    Publication ID: [4168]

2013

  • Shalaby, M and Vourdas, A (2013): "Mutually unbiased projectors and duality between lines and bases in finite quantum systems" Annals Phys., 337 208-220
    Publication ID: [4001]
  • Vourdas A (2013): "The complete Heyting algebra of subsystems and contextuality" J. Math. Phys., 54 082105
    Publication ID: [4016]
  • Vourdas A (2013): "Quantum Mechanics on profinite groups and partial order" J. Physics A46, 043001, 46 1-49
    Publication ID: [3953]

2012

  • Vourdas A (2012): "Partial order and a T0 topology in a set of finite quantum systems" J. Math. Phys., 53 122101
    Publication ID: [3926]
  • De guise, H, Vourdas, A and Sanchez-soto, L (2012): "Complementarity and phases in SU(3)" J. Phys. A, 45 244030
    Publication ID: [3906]
  • Vourdas A (2012): "Harmonic analysis on rational numbers" J. Math. Anal. Appl., 394 48-60
    Publication ID: [3908]
  • Earnshaw, R.A., Lei, C., Li, J., Mugassabi, S. and Vourdas, A. (2012): "Large-scale data analysis using the Wigner function" Physica A: Statistical Mechanics and its Applications, Elsevier Science, 391 (7): 2401-2407
    Publication ID: [3955]
  • Vourdas, A, Penson, KA, Duchamp, GHE and Solomon, AI (2012): "Generalized Bargmann functions, their growth and von Neumann lattices" J. Phys. A, 45 244031
    Publication ID: [3907]
  • Shalaby, M and Vourdas, A (2012): "Weak mutually unbiased bases" J. Phys. A, 45 052001
    Publication ID: [3868]
  • Earnshaw, RA, Lei, C, Li, J, Mugassabi, S and Vourdas, A (2012): "Large scale data analysis using the Wigner function" Physica A, 391 2401-2407
    Publication ID: [3867]

2011

  • Mohamed, A., Lei, C. and Vourdas, A (2011): "Weak coherent states related to the multiplicative group C#" Journal of Physics A: Mathematical and Theoretical, Institute of Physics, 44 (21): 215304
    Publication ID: [3954]
  • Mohamed, A, Lei, C and Vourdas, A (2011): "Weak coherent states related to the multiplicative group C^*" J. Phys. A, 44 215304
    Publication ID: [3712]
  • Vourdas A (2011): "Quantum mechanics on Q/Z" J. Math. Phys., 52 062103
    Publication ID: [3731]
  • Shalaby, M and Vourdas, A (2011): "Tomagraphically complete sets of orthonormal bases in finite systems" J. Phys. A, 44 345303
    Publication ID: [3747]
  • Cotfas, N, Gazeau, J-P and Vourdas, A (2011): "Finite-dimensional Hilbert space and frame quantization" J. Phys., A44 175303
    Publication ID: [3704]

2010

  • Tubani, M, Vourdas, A and Zhang, S (2010): "Zeros in analytic representations of finite quantum systems on a torus" Physica Scripta, 82 038107
    Publication ID: [3522]
  • Mugassabi, S and Vourdas, A (2010): "Localized wavefunctions in quantum systems with multiwell potentials" J. Phys. A, 43 325304
    Publication ID: [3497]
  • Idrus, B., Konstadopoulou, A., Spiller, T. and Vourdas, A. A.(2010): "Correlations in a chain of three oscillators with nearest neighbour coupling" J. Modern Optics, 57 576-581
    Publication ID: [3473]
  • Vourdas, A and Banderier, C (2010): "Symplectic transformations and quantum tomography in finite quantum systems" J. Phys. A, 43 042001
    Publication ID: [3382]
  • Vourdas A (2010): "Hamiltonians of quantum systems with positions and momenta in GF(p^n)" J. Math. Phys., 51 052102
    Publication ID: [3467]
  • Vourdas A (2010): "Harmonic analysis on GF(p^p^infty): Part II" J. Math. Anal. Appl., 370 71-81
    Publication ID: [3496]
  • Vourdas A (2010): "Totally disconnected and locally compact Heisenberg-Weyl groups" J. Fourier Anal. Appl., 16 748-767
    Publication ID: [3456]
  • Vourdas A (2010): "Wigner and Weyl functions for p-adic quantum mechanics" Physics of atomic nuclei, 73 237-241
    Publication ID: [3416]
  • Vourdas A (2010): "Harmonic analysis on GF(p^p^infty): Part I" J. Math. Anal. Appl., 370 57-70
    Publication ID: [3495]

2009

  • Al hadhrami, H and Vourdas, A (2009): "Fourth order interference and the extended phase space formalism for finite quantum systems" Phys. Rev. A, 40 022110
    Publication ID: [3334]
  • Mugassabi, S and Vourdas, A (2009): "Almost periodic one-dimensional systems" J. Phys. A, 42 202001
    Publication ID: [3198]
  • Vourdas A (2009): "Quantum systems with positions and momenta on a Galois field" J. Phys. Conf. Series, 104 012014
    Publication ID: [3383]
  • Vourdas, A and Zhang, S (2009): "Quantum number theoretic transforms on multipartite finite systems" J. Opt. Soc. Am. A, 26 1360-1365
    Publication ID: [3218]

2008

  • Wang, L, Al hadhrami, H and Vourdas, A (2008): "Symplectic transformations and entanglement in multipartite finite systems" Eur. Phys. J. D, 49 265-272
    Publication ID: [2853]
  • Vourdas A (2008): "Quantum mechanics on p-adic numbers" J. Phys. A, 41 455303
    Publication ID: [2868]
  • Vourdas A (2008): "Harmonic analysis on a Galois field and its subfields" J. Fourier Anal. Appl., 14 102-123
    Publication ID: [2578]

2007

  • Vourdas A (2007): "Quantum systems with finite Hilbert space: Galois fields in quantum mechanics" J. Phys., A40 R285-R331
    Publication ID: [2390]
  • Lei, C and Vourdas, A (2007): "Fourier transform in multimode systems in the Bargmann representation" Journal of Physics A: Mathematical and Theoretical, Institute of Physics, 40 (23): 6193
    Publication ID: [4002]
  • Lei, C and Vourdas, A (2007): "Fourier transform in multimode systems in the Bargmann representation" J. Phys. A, 40 6193-6209
    Publication ID: [2320]
  • Dodonov, VV, Man'ko, MA, Man'ko, VI and Vourdas, A (2007): "Squeezed states and uncertainty relations since 1991" Journal Russian Laser Research, 28 404-428
    Publication ID: [2537]
  • Bishop, RF and Vourdas, A (2007): "Thermal coherent states, a broader class of mixed coherent states and generalized thermofield dynamics" Int J Mod Phys B, 21 2529-2545
    Publication ID: [2619]

2006

  • Zhang, S., Lei, C., Vourdas, A. and Dunningham, J.A. (2006): "Applications and implementation of Fourier multiport devices" Journal of Physics B: Atomic, Molecular and Optical Physics, Institute of Physics, 39 (7): 1625
    Publication ID: [4003]
  • Zhang, S, Lei, C, Vourdas, A and Dunningham, JA (2006): "Applications and implementation of Fourier multiport devices" J. Phys. B:At. Mol. Opt. Phys., 39 1625-1637
    Publication ID: [2131]
  • Dunningham, J.A. and Vourdas, A. (2006): "Efficient comparison of path-lengths using Fourier multiport devices" J. Phys. B:At. Mol. Opt. Phys., 39 1579-1586
    Publication ID: [2130]
  • Vourdas A (2006): "Analytic representations in quantum mechanics" J. Phys. A, 39 R65-R141
    Publication ID: [2088]
  • Vourdas A (2006): "The frobenius formalism in Galois quantum systems" Acta Applicandae Mathematicae, 93 197-214
    Publication ID: [2211]
  • Vourdas A (2006): "Galois quantum systems, irreducible polynomials and Riemann surfaces" J. Math. Phys., 47 092104
    Publication ID: [2201]
  • Dajka, J, Vourdas, A, Zhang, S and Zipper, E (2006): "The influence of entangled photons on distant persistent currents" J. Phys. Cond. Matter, 18 1367-1379
    Publication ID: [2089]
  • Ahmad-zukarnain, Z, Konstadopoulou, A and Vourdas, A (2006): "Measurements and correlations in tri-partite systems" Int. J. Mod. Phys. B, 20 1551-1563
    Publication ID: [2150]

2005

  • Lei, C., Vourdas, A. and Wunsche, A. (2005): "Analytic and contour representations in the unit disk based on SU(1,1) coherent states" Journal of Mathematical Physics, American Institute of Physics, 46 (11): 112101
    Publication ID: [4004]
  • Lei, C, Vourdas, A and Wunsche, A (2005): "Analytic and contour representations in the unit disk based on SU(1,1) coherent states" J. Math. Phys., 46 112101
    Publication ID: [1992]
  • Vourdas A (2005): "Propagation of a quantum state in a continuum of coupled oscillators and applications to entanglement" J. Phys. A, 38 9859-9875
    Publication ID: [1991]
  • Vourdas A (2005): "Galois quantum systems" J.Phys.A, 38 8453
    Publication ID: [1954]
  • Vourdas A (2005): "Mode displacements in multimode systems and applications to entanglement" Physical Review A, 71 043821
    Publication ID: [1894]
  • Vourdas, A and Dunningham, JA (2005): "Fourier multiport devices" Physical Review, A71 013809
    Publication ID: [1764]
  • Dajka, J, Szopa, M, Vourdas, A and Zipper, E E(2005): "The influence of nonclassical electromagnetic fields on persistent currents" Phys. Stat. Sol. B, 242 296
    Publication ID: [1896]
  • Tsomokos, D, Chong, CC and Vourdas, A (2005): "Electron interference in mesoscopic devices in the presence of nonclassical electromagnetic fields" J. Optics B: Quantum Semiclas. Optics, 7 R73
    Publication ID: [1895]

2004

  • Vourdas A (2004): "Local correlations and uncertainties in one-mode systems" Physical Review, A69 022108
    Publication ID: [1518]
  • Vourdas A (2004): "Quantum systems with finite Hilbert space" Reports Progress Phys., 67 267
    Publication ID: [1494]
  • Tsomokos, D, Chong, CC and Vourdas, A (2004): "Entanglement of distant electron interference experiments" Physical Review, A69 013810
    Publication ID: [1493]
  • Zhang, S and Vourdas, A (2004): "Analytic representation of finite quantum systems" J. Phys A, 37 8349-8363
    Publication ID: [1679]
  • Vourdas A (2004): "Symplectically entangled states and their applications to coding" Journal of Physics, A37 3305
    Publication ID: [1519]
  • Tsomokos, D, Chong, CC and Vourdas, A (2004): "Entangled quantum currents in distant mesoscopic Josephson junctions" J. Phys.: Cond. Matter, 16 9169-9180
    Publication ID: [1759]
  • Stergioulas, A and Vourdas, A (2004): "The Bargmann analytic representation in signal analysis" J. Comp. Appl. Math., 167 183-192
    Publication ID: [1682]
  • Everitt, MJ, Clark, TD, Stiffel, P, Vourdas, A and Et al, (2004): "Superconducting analogues of quantum optical phenomena: macroscopic quantum superpositions and squeezing in a superconducting quantum interference device ring" Phys. Rev. A, 69 043804
    Publication ID: [1681]
  • Dajka, J, Szopa, M, Vourdas, A and Zipper, E (2004): "Persistent currents in the presence of nonclassical electromagnetic fields" Physical Review, B69 045305
    Publication ID: [1492]

2003

  • Vourdas A (2003): "Factorization in finite quantum systems" Journal of Physics A, 36 5645-5653
    Publication ID: [1365]
  • Konstadopoulou, A, Hollingworth, MJ, Everitt, M, Vourdas, A and Et al, A (2003): "Vortices in Josephson arrays interacting with non-classical microwaves: The effect of dissipation" European Phys. Journal B, 32 279-285
    Publication ID: [1364]
  • Zhang, S and Vourdas, A (2003): "Phase space methods for particles on a circle" J. Math. Phys., 44 5084-5094
    Publication ID: [1443]
  • Migliore, R, Konstadopoulou, A, Vourdas, A, Spiller, T and Messina, T (2003): "Entangling gates using Josephson circuits coupled through non-classical microwaves" Physics Letters A, 319 67-72
    Publication ID: [1450]
  • Vourdas A (2003): "The completeness of sequences of coherent states" Journal of Optics B: Quantum and Semiclassical Optics, 5 S413-S415
    Publication ID: [1378]
  • Vourdas A (2003): "Entangling transformations in composite finite quantum systems" Journal Optics B: Quantum & Semiclassical Optics, 5 S581-S585
    Publication ID: [1428]

2002

  • Chong, C.C, Tsomokos, D. and Vourdas, A (2002): "Correlations in interfering electrons irradiated by nonclassical microwaves" Physical Review A, 69 033813
    Publication ID: [1063]
  • Kobe, S., Podmiljsak, B., mcguiness, P.J., Vourdas, A and Et al, (2002): "A non-destructive determination of rare-earth ion concentration in laser crystals" Crystal Engineering, 5 307-315
    Publication ID: [1363]
  • Vourdas A (2002): "Coding with finite quantum systems" Physical Review, A65 042321
    Publication ID: [883]

2001

  • Konstadopoulou, A, Hollingworth, J.M, Everitt, M, Vourdas, A and Clark, TD (2001): "Mesoscopic Josephson Arrays interacting with non-classical electromagnetic fields and their applications" IEE Proc. Science, Measurement & Technology, 148 229-232
    Publication ID: [872]
  • Vourdas A (2001): "Destruction of the interference by external non-classical microwaves: The effect of quantum and classical noise on the phase factor" Physical Review, A64 053814
    Publication ID: [876]
  • Chong, C.C and Vourdas, A (2001): "Quantum correlations and the extended phase space" Journal of Physics, A34 9849-9860
    Publication ID: [878]
  • Stergioulas, L.K, Vassiliadis, V.S and Vourdas, A (2001): "Optimal bases of Gaussians in a Hilbert space: Applications in Mathematical Signal Analysis" Journal.Comp.Appl. Math., 133 601-609
    Publication ID: [869]
  • Sarantopoulou, E, Skordoulis, C, Cefalas, A.C and Vourdas, A (2001): "Modulation of period of quantum beats from optical emissions from the excited electronic states of mercury triatomic clusters" Synthetic Metals, 124 267-269
    Publication ID: [867]
  • Vourdas A (2001): "Quantum Systems with Finite Hilbert space and Chebyshev Polynomials" J. Comp. Appl. Math., 133 657-664
    Publication ID: [868]
  • Hollingworth, J.M, Konstadopoulou, A, Chountasis, S, Vourdas, A and Backhouse, A (2001): "Gazeau-Klauder coherent states in one-mode systems with periodic potentials" Journal of Physics, A34 9463-9474
    Publication ID: [877]
  • Hollingworth, J.M, Vourdas, A and Backhouse, N (2001): "Wave propagation in one-dimensional optical quasi-periodic systems" Physical Review, E64 036611
    Publication ID: [874]
  • Vourdas, A, Spiller, T.P, Clark, T.D and Poulton, D D(2001): "Tunneling of vortices through a weak link in an insulating Josephson array" Physical Review, B63 104501
    Publication ID: [870]
  • Everitt, M.J, Clark, T.D, Vourdas, A and Et, AL (2001): "Quantum stastics and entanglement of two electromagnetic field modes coupled via a mesoscopic SQUID ring" Physical Review, B64 184517
    Publication ID: [875]
  • Chong, C.C, Vourdas, A and Bendjaballah, C (2001): "Fractional Fourier transforms for quasi-periodic Bloch functions" J. Opt. Soc. Am., A18 2478-2485
    Publication ID: [873]
  • Vourdas, A, Cefalas, A.C and Sarantopoulou, E (2001): "Vortex interference in Josephson arrays in the insulating phase" Synthetic Metals, 124 265-266
    Publication ID: [866]
  • Everitt, M.J, Stiffel, P, Clark, T.D, Vourdas, A and Ralph, A (2001): "A fully quantum mechanical model of a SQUID ring coupled to an electromagnetic field" Physical Review, B63 144530
    Publication ID: [871]

2000

  • Jones, G.R, Russell, P.C, Vourdas, A, Cosgrave, J and Stergioulas, L (2000): "The Gabor transform basis of Chromatic monitoring" Meas. Science Tech., 11 489-498
    Publication ID: [864]
  • Giakas, G, Stergioulas, L and Vourdas, A (2000): "Time-frequency analysis and filtering of kinematic signals with impacts using the Wigner function: accurate estimation of the second derivative" Journal Biomech., 33 567-574
    Publication ID: [862]
  • Kong, M.G, Zhong, X and Vourdas, A (2000): "Free electron laser spectrum control with a quasiperodic wiggler configuration" Nuclear Instrum. Meth., A44 7-12
    Publication ID: [863]
  • Stergioulas, L, Vourdas, A and Jones, G.R (2000): "Gabor representation of optical signals using a truncated von Neumann lattice and its practical implementation" Optical Engineering, 39 1965-1971
    Publication ID: [865]

1999

  • Chountasis, S, Stergioulas, L.K and Vourdas, A (1999): "Quantum filtering of noise in the Wigner function" Journal Mod. Optics, 46 2131-2134
    Publication ID: [859]
  • Vourdas A (1999): "A unified approach to Aharonov-Bohm, Aharonov-Casher and which-path experiments" Journal of Physics, A32 5517-5528
    Publication ID: [856]
  • Kong, M.G and Vourdas, A (1999): "Control of harmonic generation in a free-electron laser with a quasiperodic wiggler configuration" Physical Review, E59 2339-2346
    Publication ID: [854]
  • Stergioulas, L.K, Vassiliadis, V.S and Vourdas, A (1999): "Construction of quantum states from an optimally truncated von Neumann lattice of coherent states" Journal of Physics, A32 3169-3178
    Publication ID: [855]
  • Vourdas A (1999): "Bloch steps in vortex interference in the presence of classical and non-classical electromagnetic fields" Physical Review, B60 620-626
    Publication ID: [857]
  • Tunstall, J.J, Taylor, S, Vourdas, A, Leck, J.H and Batey, J.H (1999): "Application of a static magnetic field to the mass filter of a quadrupole mass spectrometer" Vacuum, 53 211-213
    Publication ID: [853]
  • Chountasis, S, Vourdas, A and Bendjaballah, C (1999): "Fractional fourier operators and generalized Wigner functions" Physical Review, A60 3467-3473
    Publication ID: [858]
  • Vourdas A (1999): "Dual Josephson phenomena with vortices" Europhysics. Letters., 48 201-207
    Publication ID: [861]
  • Chountasis, S and Vourdas, (1999): "The extended phase space: a formalism for the study of quantum noise and quantum correlations" Journal of Physics, A32 6949-6961
    Publication ID: [860]

1998

  • Vourdas, A and Bishop, R.F (1998): "Quantum systems at negative temperatures: a holomorphic approach based on coherent states" Journal of Physics, A31 8563-8575
    Publication ID: [847]
  • Russell, P.C, Cosgrave, J, Tomtsis, D, Vourdas, A and Stergioulas, L (1998): "Extraction of information from acoustic vibration signals using gabor transform type devices" Meas. Sci. Technol, 9 1282-1290
    Publication ID: [845]
  • Bendjaballah, C, Leroy, J.M and Vourdas, A (1998): "Rate distortion and detection in Quantum Communication" IEEE Trans. Info. Theo., IT4 1658-1665
    Publication ID: [852]
  • Chountasis, S and Vourdas, A (1998): "Weyl and Wigner functions in an extended phase space formalism" Physical Review, A58 1794-1798
    Publication ID: [849]
  • Chountasis, S and Vourdas, A (1998): "Weyl functions and their use in the study of quantum interference" Physical Review, A58 848-855
    Publication ID: [848]
  • Bendjaballah, C, Leroy, J.M and Vourdas, A (1998): "Debit de distorsion et detection en communication quantique" C.R. Acad Sci.Paris IIB, 326 667-670
    Publication ID: [846]
  • Vourdas, A and Sanders, B (1998): "Determination of quantized electromagnetic field state via electron interferometry" Europhysics Letters, 43 659-663
    Publication ID: [850]
  • Vourdas, A and Wnsche, A (1998): "Resolutions of the identity in terns of line integrals of SU(1,1) coherent states" Journal of Physics, A31 9341-9352
    Publication ID: [851]

1997

  • Vourdas, A and Spiller, T.P (1997): "Quantum theory of the interaction of Josephson junctions with non-classical microwaves" Z.Physik B, 102 43-54
    Publication ID: [838]
  • Vourdas A (1997): "Correlations in AC Aharonov-Bohm phenomena" Physical Review, A56 2408-2411
    Publication ID: [843]
  • Kong, M.G and Vourdas, A (1997): "Radiation from quasi-periodically modulated electron beam" Europhysics Letters, 38 25-29
    Publication ID: [839]
  • Vourdas A (1997): "The growth of Bargmann functions and the completeness of sequences of coherent states" Journal of Physics, A30 4867-4876
    Publication ID: [841]
  • Vourdas A (1997): "Coherent evolution in a multiply connected space in the presence of fractional magnetic flux: the back reaction effect" Journal of Physics, A30 5195-5206
    Publication ID: [842]
  • Stergioulas, L and Vourdas, A (1997): "Robust quantum state engineering using coherent states on a truncated von Neumann lattice" Journal Mod Optics, 45 1155-1161
    Publication ID: [844]
  • Blundell, R.E, Fang, M.T. and Vourdas, A (1997): "Stability of a dc SF6 arc in an axially accelerating flow" IEEE Trans. Plasma Science., 25 852-859
    Publication ID: [840]

1996

  • Vourdas A (1996): "Quantum currents in mesoscopic Josephson Junctions in the presence of non-classical microwaves" Z. Physik B, 100 455-460
    Publication ID: [828]
  • Odintsov, A and Vourdas, A (1996): "Single Cooper pair tunneling induced by non-classical microwaves" Europhysics Letters, 34 385-389
    Publication ID: [834]
  • Vourdas A (1996): "Quantum Amplifiers at microwave frequencies using Josephson junctions" Journal Mod. Optics, 43 2105-2117
    Publication ID: [835]
  • Vourdas A (1996): "Resolutions of the identity in terms of SU(2) coherent states and their use for quantum state engineering" Physical Review, A54 4544-4552
    Publication ID: [836]
  • Brif, C, Mann, A and Vourdas, A (1996): "Parity-dependent squeezing of light" Journal of Physics, A29 2053-2067
    Publication ID: [830]
  • Vourdas A (1996): "The angle-angular momentum quantum phaes space" Journal of Physics, A29 4275-4288
    Publication ID: [831]
  • Vourdas A (1996): "Fractional Shapiro steps in electron interference in the presence of non-classical microwaves" Physics Review, B54 13175-1318
    Publication ID: [837]
  • Brif, C, Vourdas, A and Mann, A (1996): "Analytic representations based on SU(1,1) coherent states and their applications" Journal of Physics, A29 5873-5885
    Publication ID: [832]
  • Vourdas, A, Brif, C and Mann, A (1996): "Factorisation of analytic representions in the unit disc and number-phase statistics of a quantum harmonic oscillator" Journal of Physics, A29 5887-5898
    Publication ID: [833]
  • Vourdas, A and Bishop, R.F (1996): "Dirac's contour represention in thermo-field-dynamics" Physical Review, A53 1205-1208
    Publication ID: [829]

1995

  • Vourdas A (1995): "Electron interference in the presence of AC non-classical electromagnetic fields" Europhysics Letters, 32 289-294
    Publication ID: [827]
  • Vourdas, A and Bishop, R.F (1995): "Displaced negative binomial mixed ststes: generalised thermofield dynamics" Physical Review, A51 2353-2360
    Publication ID: [825]
  • Vourdas A (1995): "SU(2) coherent states on an m-sheeted covering of the sphere" Journal of Math. Physics, 36 4757-4773
    Publication ID: [826]

1994

  • Bishop, R.F and Vourdas, A (1994): "The displaced and Squeezed parity Operator:Its role in classical mappings of quantum Theories" Physical Review, A50 4488-4501
    Publication ID: [823]
  • Vourdas, A and Bishop, R.F (1994): "Thermal coherent states in the Bargmann representation" Physical Review, A50 3331-3339
    Publication ID: [822]
  • Vourdas, A and Da rocha, J.R. (1994): "Pulse position modulation and extended pulse position modulation with squeezed light" Journal .Mod. Optics, 41 2291-2299
    Publication ID: [824]
  • Vourdas A (1994): "Coherent states on the m-sheeted complex plane" Journal of Math. Physics, 35 2687-2697
    Publication ID: [820]
  • Vourdas A (1994): "Mesoscopic Josephson junction in the presence of non-classical electromagnetic fields" Physical Review, B49 12040-1204
    Publication ID: [821]

1993

  • Vourdas A (1993): "Coherent states on the m-sheeted covering group of SU(1,1)" Journal of Math. Physics, 34 1223-1235
    Publication ID: [815]
  • Vourdas A (1993): "Phase states: an analytic approach in the unit disc" Physica Scripta, T48 84-86
    Publication ID: [819]
  • Vourdas, A and Bendjaballah, C (1993): "Duality, measurements and factorisation in finite quantum systems" Physical Review, A47 3523-3529
    Publication ID: [817]
  • Cosgrage, J.A, Vourdas, A, Jones, G.R, Spencer, J.W and Murphy, J.W (1993): "Acoustic monitoring of partial discharges in gas insulated substations using optical sensors" IEE Proc-A, 140 369-374
    Publication ID: [818]
  • Lui, Z, Vourdas, A and Binns, K.J (1993): "Coupled thermoelectromagnetic analysis for electromagnetic devices with permanent magnets" Journal of Physics, D26 810-818
    Publication ID: [816]

1992

  • Smith, R, Ahmed, S, Vourdas, A, Spencer, J and Russell, P (1992): "Chromatic modulation for optical sensing: Electro magnetic and speckle noise analysis" J. Mod.Opt, 39 2301-2314
    Publication ID: [814]
  • Vourdas A (1992): "Superpositions of macroscopiaclly distinguishable states in the presence of thermal noise" Optical communications, 91 236-240
    Publication ID: [813]
  • Vourdas A (1992): "Generalised squeezing, Bogoliubov quasi-particles and information in two and three mode systems" Physical Review, A46 442-451
    Publication ID: [812]

1991

  • Liu, Z, Vourdas, A and Binns, K.J (1991): "Magnetic field and eddy current losses" IEE Proc-A, 138 289-294
    Publication ID: [808]
  • Vourdas A (1991): "Information in quantum Optical Communication" Lecture notes in Physics (springer-Verlag), 378 120-123
    Publication ID: [810]
  • Vourdas A (1991): "Analytic representations in the unit disc and applications to phase ststes and squeezing" Physical Review, A45 1943-1950
    Publication ID: [811]
  • Vourdas A (1991): "Transformations in the angle-angular momentum phase space" Physical Review, A43 1564-1572
    Publication ID: [809]

1990

  • Vourdas A (1990): "Gaussian bases for radar signal analysis" Signal Processing, 20 163-169
    Publication ID: [805]
  • Vourdas A (1990): "SU(2) and SU(1) phase states" Physical Review, A41 1653-1661
    Publication ID: [803]
  • Vourdas A (1990): "Binary optical communications with quantum signals propagating in non-linear media" J.Mod. opt, 37 1661-1672
    Publication ID: [807]
  • Vourdas A (1990): "Information theory approach to quantum non-demolition measurements" Optical Communications, 76 164-167
    Publication ID: [806]
  • Vourdas A (1990): "Information in quantum optical binary communications" IEEE Trans. Info. Theo., IT3 208-211
    Publication ID: [804]

1989

  • Vourdas, A and Bishop, R.F (1989): "Phase admixed states: coherence and incoherence" Physical Review, A39 214-220
    Publication ID: [800]
  • Vourdas, A and Binns, K.J (1989): "Magnetostatics with scalar potentials in multiply connected regions" IEE Proc, A13 231-232
    Publication ID: [802]
  • Vourdas A (1989): "Optical signals with thermal noise" Physical review, A39 206-213
    Publication ID: [801]
  • Fowler, G.N, Navarra, F.S, Plumer, M, Vourdas, A and Weiner, R (1989): "Interacting gluon model in hadron-nucleus and nucleus-nucleus collisions in the central rapidity region" Physics Review, C40 1219-1233
    Publication ID: [799]

1988

  • Vourdas, A and Weiner, R (1988): "Multiplicity distributions and Bose-Einstein correlations in high energy multiparticle production in the presence of squeezed coherent states" Physical Review, D38 2209-2217
    Publication ID: [796]
  • Fowler, G.N, Navarra, F.S, Vourdas, A, Weiner, R and Wilk, G (1988): "Initial energy density distribution in high energy heavy reactions" Physics Letter, B21 657-659
    Publication ID: [795]
  • Bishop, R.F and Vourdas, A (1988): "General two-mode squeezed state" Z. Physik, B71 527-529
    Publication ID: [798]
  • Vourdas A (1988): "Superposition of number eigenstates with thermal light" Physical Review, A37 3890-3895
    Publication ID: [797]

1987

  • Bishop, R.F and Vourdas, A (1987): "Coherent mixed states and a generalized P-representation" Journal of Physics, A20 3743-3769
    Publication ID: [793]
  • Vourdas A (1987): "Loop gauge theory and group cohomology" Journal of Math. Physics, 28 584-591
    Publication ID: [790]
  • Fowler, G.N, Vourdas, A, Weiner, R.M and Wilk, G G(1987): "Inelasticity and leading particle effect: Momentum and mass distribution of the central fireball in high-energy hadronic reactions" Physical Review, D35 870-874
    Publication ID: [791]
  • Bishop, R.F and Vourdas, A (1987): "A new coherent paired state with possible applications to fluctuation-dissipation phenomena" Journal of Physics, A20 3727-3741
    Publication ID: [792]
  • Vourdas, A and Weiner, R.M (1987): "Photon Counting distribution in squeezed states" Physical Review, A36 5866-5869
    Publication ID: [794]

1986

  • Bishop, R.F and Vourdas, A (1986): "Generalized coherent states and Bogoliubov transformations" Journal of Physics, A19 2525-2536
    Publication ID: [788]
  • Vourdas A (1986): "Superposition of squeezed coherent states with thermal light" Physical Review, A34 3466-3469
    Publication ID: [789]

1985

  • Vourdas, A and Bishop, R.F (1985): "Quantum tunneling in the deformed region of the LMG model" Journal of Physics, G11 95-101
    Publication ID: [787]
  • Vourdas A (1982): "Orbital Classical solutions, non-perturbative phenomena and singularity at the zero coupling constant point" Nuclear Physics B, 195 173-188
    Publication ID: [786]

1981

  • Donnachie, A and Vourdas, A (1981): "Central photoproduction of J/Ψ and Y as a test of QCD" Z.Physik, C7 257-262
    Publication ID: [785]
  • Vourdas A (1980): "spin-dependent photon structure functions" Journal of Physics, G6 789-802
    Publication ID: [784]

Conference Publications

2009

  • Lei, C., Pamunuwa, D., Bailey, S. and Lambert, C. (2009): "Designing Reliable Digital Molecular Electronic Circuits" in 4th International ICST Conference on Nano Networks, Nano-Net 2009, October 18-20
    Publication ID: [4005]
  • Lei, C., Pamunuwa, D., Bailey, S. and Lambert, C. (2009): "Design of Robust Molecular Electronic Circuits" in Proc. IEEE International Symposium on Circuits and Systems ISCAS 2009, May 24-27
    Publication ID: [4006]

2008

  • Lei, C., Pamunuwa, D., Bailey, S. and Lambert, C. (2008): "Application of Molecular Electronics Devices in Digital Circuit Design" in Third International ICST Conference on Nano Networks, Nano-Net 2008, September 14-16
    Publication ID: [4007]
  • Lei, C., Pamunuwa, D., Bailey, S. and Lambert, C. (2007): "Molecular electronics device modeling for system design" in Proc. 7th IEEE International Conference on Nanotechnology IEEE-NANO 2007, Aug 2-5
    Publication ID: [4008]

Published Papers

Books

Research Reports

Conferences

Professor A Vourdas

Member of the international committee for the `8th international conference on squeezed states and uncertainty relations', Mexico, 2003

8th International conference on Squeezed states and uncertainty relations, Mexico, 2003 (presentation of the talk: Entangled finite quantum systems and applications to quantum coding)

International workshop on arrays of quantum dots and josephson junctions, Croatia, 2004, (presentation of the talk: Interaction of Josephson junctions with non-classical microwaves)

Feynman Festival, Maryland 2004 (presentation of the talk: Cyclic codes with finite quantum systems)

12th Central European Workshop on quantum optics, Ankara 2005 (presentation of the talk: mode displacements in multimode systems and applications to entanglement)

member of the advisory committee for the international conference on microscopic approaches to many-body theory' Manchester, 2005

Member of the advisory board for the international conference `new trends in quantum mechanics: fundamental aspects and applications', Palermo, 2005

9th International Conference on squeezed states and uncertainty relations, France 2005, (presentation of the talk: Phase space for modes in multimode systems and its applications to entanglement)

International conference on microscopic approaches to many-body theory, Manchester, 2005 (presentation of the talk: entanglement propagation in a chain of coupled oscillators)

International conference on `new trends in quantum mechanics; fundamental aspects and applications' , Palermo, Italy 2005, (presentation of the talk: entanglement propagation in a chain of coupled oscillators')

Fourth International conference on `Vortex matter in nanostructured superconductors' Greece, 2005 (presentation of the talk: Vortices in Josephson array insulators and their interaction with non-classical microwaves)

Member of the international committee for the `9th international conference on squeezed states and uncertainty relations' France, 2005

Third Feynman festival, Maryland 2006 (presentation of the talk: Fourier multiport devices)

26th International colloquium on group theoretical methods in Physics, New York 2006, (presentation of the talk: displacements in a continuum of coupled oscillators')

International workshop on `nanosensors and arrays of quantum dots and Josephson junctions for space applications', Sweden, 2006 (presentation of the talk: Vortices in Josephson array insulators and their interaction with nonclassical microwaves')

Member of the scientific committee of the 26th International workshop on `Bayesian Inference and Maximum Entropy Methods' Paris, 2006

Expository quantum lecture series, Malaysia 2007, (4 lectures on `Galois quantum systems')

Main organizer of the `tenth international conference on squeezed states and uncertainty relations', Bradford, April 2007

Member of the scientific committee of the `international workshop on arithmetic finite fields' Madrid 2007

Ninth international school on symmetry and structural properties of condensed matter, Poland, Sept 2007 (presentation of the talk `Galois quantum systems')

Member of the advisory committee for the ninth international school on `symmetry and structural properties of condensed matter', Poland, Sept 2007

International conference on combinatorial physics, Cracow, 2007 (presentation of the talk `Galois fields in quantum mechanics')

27th international colloquium on group theoretical methods in physics, Yerevan, Armenia, Aug 2008 (presentation of the talk: quantum mechanics on p-adic numbers)

`32nd international conference on coherence and correlations in nanosystems' Sept 2008, Ustron, Poland (presentation of the talk: electron and vortex interference in the presence of nonclassical electromagnetic fields)

40th symposium on mathematical physics: geometry and quanta, Torun, Poland, June 2008, presentation of the talk: 'Galois fields in quantum mechanics'

`Conference on time-frequency' Strobl, Austria, 2009, presentation of the talk `Harmonic analysis on p-adic numbers'

member of the standing committee of the `international colloquia on group theoretical methods in physics', for the twelve year period (2009-2020)

Member of the programme and advisory board of the `11th international conference on squeezed states and uncertainty relations' June 2009, Olomouc, Czech Republic

`11th international conference on squeezed states and uncertainty relations', Olomouc, Czech, 2009, presentation of the talk: `quantum systems with finite Hilbert space'

Workshop on `quantum and combinatorics', Poland, Nov 2009 (presentation of the talk: symplectic transformations and quantum tomography in finite quantum systems)

Member of the advisory committee for the tenth international school on `symmetry and structural properties of condensed matter', Poland Sept 2009

workshop on projective finite geometries, Bielefeld 2009 (presentation of the talk `galois fields in quantum mechanics)

Tenth international school on on `Symmetry and Structural Properties of Condensed Matter' Poland 2009 (presentation of the talk: Factorization of Bargmann functions)

member of the organizing committee of `GROUP28: the 28th international conference on group theoretical methods in physics', Newcastle, July 2010

Member of the International Organizing Committee of the Twelfth International Conference on Squeezed States and Uncertainty Relations, May 2011, Foz do Iguacu, Brazil

18th Central European Workshop on Quantum Optics, Madrid 2011 (presentation of the talk: Quantum systems with finite Hilbert space)

12th International Conference on Squeezed States and Uncertainty Relations", Foz do Iguacu, Brazil, 2011 (presentation of the talk: `Quantum systems with variables in GF(p^n))

International conference on quantum optics and quantum computing, Noida, India (presentation of the talk: quantum systems with positions and momenta in GF(p^n))

International Workshop on Special Functions and Orthogonal Polynomials, Decin, Czech (Presentation of the talk: Quantum systems with finite Hilbert space)

Dr Anastasia Konstadopoulou

Local Organising Committee for 10th International Conference on Squeezed States and Uncertainty Relations - Bradford, March 2007