# Professor Apostol Vourdas

**Title:**Professor in Computing**Email:**A.Vourdas@Bradford.ac.uk**Extension:**3950**Room No.**Horton D4.03**Qualifications:**Ph.D. Manchester (1980) D.Sc. Manchester (1995) MBCS, MIEE, FInstP, MAmPhyS,MAmMathS**Research Groups:**Applied Mathematics-
Agyo S, Lei C and Vourdas A (2017): "The groupoid of bifractional transformations"
*J. Math. Phys.*,**58**052103 (1-16). -
Vourdas A (2017): "Dressed coherent states in finite quantum systems: a cooperative game theory approach"
*Annals of Physics*,**376**153-181. -
Olupitan T, Lei C and Vourdas A (2016): "An analytic function approach to weak mutually unbiased bases"
*Ann. Phys.*,**371**1-19.

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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. -
Vourdas A (2016): "Coherent spaces, Boolean rings and quantum gates"
*Annals of Physics*,**373**557-580. -
Vourdas A (2016): "Mobius operators and non-additive quantum probabilities in the Birkhoff-von Neumann lattice"
*J. Geom. Phys.*, Elsevier,**101**38-51. -
Vourdas A (2016): "Comonotoniciy and Choquet integrals of Hermitian operators and their applications"
*J. Phys. A*,**49**145002. -
Evangelides P, Lei C and Vourdas A (2015): "Analytic representations with theta functions for systems on Z(d) and on S"
*J. Math. Phys.*,**56**072108. -
Agyo S, Lei C and Vourdas A (2015): "Interpolation between phase space quantities with bifractional displacement operators"
*Physics Letters A*,**379**255-260. -
Oladejo S, Lei C and Vourdas A (2014): "Partial ordering of weak mutually unbiased bases"
*J. Phys. A*,**47**485204. -
Vourdas A (2014): "Quantum probabilities as Dempster-Shafer probabilities in the lattice of subspaces"
*J. Math. Phys.*,**55**082107. -
Vourdas A (2014): "Lower and upper probabilities in the distributive lattice of subsystems"
*J. Phys. A*,**47**345203. -
Shalaby M and Vourdas A (2013): "Mutually unbiased projectors and duality between lines and bases in finite quantum systems"
*Annals Phys.*,**337**208-220. -
Vourdas A (2013): "The complete Heyting algebra of subsystems and contextuality"
*J. Math. Phys.*,**54**082105. -
Vourdas A (2013): "Quantum Mechanics on profinite groups and partial order"
*J. Physics A46, 043001*,**46**1-49. -
Vourdas A (2012): "Partial order and a T0 topology in a set of finite quantum systems"
*J. Math. Phys.*,**53**122101. -
de Guise H, Vourdas A and Sanchez-Soto L (2012): "Complementarity and phases in SU(3)"
*J. Phys. A*,**45**244030. -
Vourdas A (2012): "Harmonic analysis on rational numbers"
*J. Math. Anal. Appl.*,**394**48-60. -
Vourdas A, Penson KA, Duchamp GHE and Solomon AI (2012): "Generalized Bargmann functions, their growth and von Neumann lattices"
*J. Phys. A*,**45**244031. -
Shalaby M and Vourdas A (2012): "Weak mutually unbiased bases"
*J. Phys. A*,**45**052001. -
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. -
Mohamed A, Lei C and Vourdas A (2011): "Weak coherent states related to the multiplicative group C^*"
*J. Phys. A*,**44**215304. -
Shalaby M and Vourdas A (2011): "Tomagraphically complete sets of orthonormal bases in finite systems"
*J. Phys. A*,**44**345303 . -
Vourdas A (2011): "Quantum mechanics on Q/Z"
*J. Math. Phys.*,**52**062103.

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Cotfas N, Gazeau J-P and Vourdas A (2011): "Finite-dimensional Hilbert space and frame quantization"
*J. Phys.*,**A44**175303.

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Tubani M, Vourdas A and Zhang S (2010): "Zeros in analytic representations of finite quantum systems on a torus"
*Physica Scripta*,**82**038107. -
Mugassabi S and Vourdas A (2010): "Localized wavefunctions in quantum systems with multiwell potentials"
*J. Phys. A*,**43**325304. -
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. -
Vourdas A and Banderier C (2010): "Symplectic transformations and quantum tomography in finite quantum systems"
*J. Phys. A*,**43**042001.

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Vourdas A (2010): "Hamiltonians of quantum systems with positions and momenta in GF(p^n)"
*J. Math. Phys.*,**51**052102.

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Vourdas A (2010): "Harmonic analysis on GF(p^p^infty): Part II"
*J. Math. Anal. Appl.*,**370**71-81. -
Vourdas A (2010): "Totally disconnected and locally compact Heisenberg-Weyl groups"
*J. Fourier Anal. Appl.*,**16**748-767.

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Vourdas A (2010): "Harmonic analysis on GF(p^p^infty): Part I"
*J. Math. Anal. Appl.*,**370**57-70. -
Vourdas A (2010): "Wigner and Weyl functions for p-adic quantum mechanics"
*Physics of atomic nuclei*,**73**237-241.

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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 .

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Mugassabi S and Vourdas A (2009): "Almost periodic one-dimensional systems"
*J. Phys. A*,**42**202001 . -
Vourdas A and Zhang S (2009): "Quantum number theoretic transforms on multipartite finite systems"
*J. Opt. Soc. Am. A*,**26**1360-1365. -
Vourdas A (2009): "Quantum systems with positions and momenta on a Galois field"
*J. Phys. Conf. Series*,**104**012014. -
Wang L, Al Hadhrami H and Vourdas A (2008): "Symplectic transformations and entanglement in multipartite finite systems"
*Eur. Phys. J. D*,**49**265-272. -
Vourdas A (2008): "Quantum mechanics on p-adic numbers"
*J. Phys. A*,**41**455303. -
Vourdas A (2008): "Harmonic analysis on a Galois field and its subfields"
*J. Fourier Anal. Appl.*,**14**102-123.

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Vourdas A (2007): "Quantum systems with finite Hilbert space: Galois fields in quantum mechanics"
*J. Phys.*,**A40**R285-R331. -
Lei C and Vourdas A (2007): "Fourier transform in multimode systems in the Bargmann representation"
*J. Phys. A*,**40**6193-6209. -
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. -
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. -
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. -
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. -
Vourdas A (2006): "The frobenius formalism in Galois quantum systems"
*Acta Applicandae Mathematicae*,**93**197-214. -
Vourdas A (2006): "Analytic representations in quantum mechanics"
*J. Phys. A*,**39**R65-R141. -
Vourdas A (2006): "Galois quantum systems, irreducible polynomials and Riemann surfaces"
*J. Math. Phys.*,**47**092104. -
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. -
Ahmad-Zukarnain Z, Konstadopoulou A and Vourdas A (2006): "Measurements and correlations in tri-partite systems"
*Int. J. Mod. Phys. B*,**20**1551-1563. -
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. -
Vourdas A (2005): "Propagation of a quantum state in a continuum of coupled oscillators and applications to entanglement"
*J. Phys. A*,**38**9859-9875. -
Vourdas A (2005): "Galois quantum systems"
*J.Phys.A*,**38**8453. -
Vourdas A (2005): "Mode displacements in multimode systems and applications to entanglement"
*Physical Review A*,**71**043821. -
Vourdas A and Dunningham JA (2005): "Fourier multiport devices"
*Physical Review*,**A71**013809. -
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. -
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. -
Vourdas A (2004): "Local correlations and uncertainties in one-mode systems"
*Physical Review*,**A69**022108. -
Vourdas A (2004): "Quantum systems with finite Hilbert space"
*Reports Progress Phys.*,**67**267. -
Vourdas A (2004): "Symplectically entangled states and their applications to coding"
*Journal of Physics*,**A37**3305. -
Tsomokos D, Chong CC and Vourdas A (2004): "Entanglement of distant electron interference experiments"
*Physical Review*,**A69**013810. -
Zhang S and Vourdas A (2004): "Analytic representation of finite quantum systems"
*J. Phys A*,**37**8349-8363. -
Dajka J, Szopa M, Vourdas A and Zipper E (2004): "Persistent currents in the presence of nonclassical electromagnetic fields"
*Physical Review*,**B69**045305. -
Stergioulas A and Vourdas A (2004): "The Bargmann analytic representation in signal analysis"
*J. Comp. Appl. Math.*,**167**183-192. -
Tsomokos D, Chong CC and Vourdas A (2004): "Entangled quantum currents in distant mesoscopic Josephson junctions"
*J. Phys.: Cond. Matter*,**16**9169-9180. -
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. -
VOURDAS A (2003): "Factorization in finite quantum systems"
*Journal of Physics A*,**36**5645-5653. -
ZHANG S and VOURDAS A (2003): "Phase space methods for particles on a circle"
*J. Math. Phys.*,**44**5084-5094. -
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. -
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. -
VOURDAS A (2003): "The completeness of sequences of coherent states"
*Journal of Optics B: Quantum and Semiclassical Optics*,**5**S413-S415. -
VOURDAS A (2003): "Entangling transformations in composite finite quantum systems"
*Journal Optics B: Quantum & Semiclassical Optics*,**5**S581-S585. -
CHONG C.C, TSOMOKOS D. and VOURDAS A (2002): "Correlations in interfering electrons irradiated by nonclassical microwaves"
*Physical Review A*,**69**033813. -
VOURDAS A (2002): "Coding with finite quantum systems"
*Physical Review*,**A65**042321. -
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. -
CHONG C.C, VOURDAS A and BENDJABALLAH C (2001): "Fractional Fourier transforms for quasi-periodic Bloch functions"
*J. Opt. Soc. Am.*,**A18**2478-2485. -
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. -
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. -
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. -
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. -
HOLLINGWORTH J.M, VOURDAS A and BACKHOUSE N (2001): "Wave propagation in one-dimensional optical quasi-periodic systems"
*Physical Review*,**E64**036611. -
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. -
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. -
CHONG C.C and VOURDAS A (2001): "Quantum correlations and the extended phase space"
*Journal of Physics*,**A34**9849-9860. -
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. -
VOURDAS A, CEFALAS A.C and SARANTOPOULOU E (2001): "Vortex interference in Josephson arrays in the insulating phase"
*Synthetic Metals*,**124**265-266. -
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. -
VOURDAS A (2001): "Quantum Systems with Finite Hilbert space and Chebyshev Polynomials"
*J. Comp. Appl. Math.*,**133**657-664. -
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. -
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. -
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. -
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. -
CHOUNTASIS S, VOURDAS A and BENDJABALLAH C (1999): "Fractional fourier operators and generalized Wigner functions"
*Physical Review*,**A60**3467-3473. -
VOURDAS A (1999): "Bloch steps in vortex interference in the presence of classical and non-classical electromagnetic fields"
*Physical Review*,**B60**620-626. -
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. -
VOURDAS A (1999): "Dual Josephson phenomena with vortices"
*Europhysics. Letters.*,**48**201-207. -
CHOUNTASIS S, STERGIOULAS L.K and VOURDAS A (1999): "Quantum filtering of noise in the Wigner function"
*Journal Mod. Optics*,**46**2131-2134. -
VOURDAS A (1999): "A unified approach to Aharonov-Bohm, Aharonov-Casher and which-path experiments"
*Journal of Physics*,**A32**5517-5528. -
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. -
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. -
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. -
CHOUNTASIS S and VOURDAS A (1998): "Weyl functions and their use in the study of quantum interference"
*Physical Review*,**A58**848-855. -
VOURDAS A and SANDERS B (1998): "Determination of quantized electromagnetic field state via electron interferometry"
*Europhysics Letters*,**43**659-663. -
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. -
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. -
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. -
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. -
BENDJABALLAH C, LEROY J.M and VOURDAS A (1998): "Rate distortion and detection in Quantum Communication"
*IEEE Trans. Info. Theo.*,**IT4**1658-1665. -
CHOUNTASIS S and VOURDAS A (1998): "Weyl and Wigner functions in an extended phase space formalism"
*Physical Review*,**A58**1794-1798. -
VOURDAS A (1997): "Correlations in AC Aharonov-Bohm phenomena"
*Physical Review*,**A56**2408-2411. -
KONG M.G and VOURDAS A (1997): "Radiation from quasi-periodically modulated electron beam"
*Europhysics Letters*,**38**25-29. -
VOURDAS A (1997): "The growth of Bargmann functions and the completeness of sequences of coherent states"
*Journal of Physics*,**A30**4867-4876. -
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. -
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. -
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. -
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. -
VOURDAS A (1996): "Fractional Shapiro steps in electron interference in the presence of non-classical microwaves"
*Physics Review*,**B54**13175-1318. -
ODINTSOV A and VOURDAS A (1996): "Single Cooper pair tunneling induced by non-classical microwaves"
*Europhysics Letters*,**34**385-389. -
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. -
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. -
VOURDAS A (1996): "The angle-angular momentum quantum phaes space"
*Journal of Physics*,**A29**4275-4288. -
BRIF C, MANN A and VOURDAS A (1996): "Parity-dependent squeezing of light"
*Journal of Physics*,**A29**2053-2067. -
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. -
VOURDAS A and BISHOP R.F (1996): "Dirac's contour represention in thermo-field-dynamics"
*Physical Review*,**A53**1205-1208. -
VOURDAS A (1996): "Quantum currents in mesoscopic Josephson Junctions in the presence of non-classical microwaves"
*Z. Physik B*,**100**455-460. -
VOURDAS A (1996): "Quantum Amplifiers at microwave frequencies using Josephson junctions"
*Journal Mod. Optics*,**43**2105-2117. -
VOURDAS A (1995): "SU(2) coherent states on an m-sheeted covering of the sphere"
*Journal of Math. Physics*,**36**4757-4773. -
VOURDAS A (1995): "Electron interference in the presence of AC non-classical electromagnetic fields"
*Europhysics Letters*,**32**289-294. -
VOURDAS A and BISHOP R.F (1995): "Displaced negative binomial mixed ststes: generalised thermofield dynamics"
*Physical Review*,**A51**2353-2360. -
VOURDAS A (1994): "Mesoscopic Josephson junction in the presence of non-classical electromagnetic fields"
*Physical Review*,**B49**12040-1204. -
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. -
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. -
VOURDAS A and BISHOP R.F (1994): "Thermal coherent states in the Bargmann representation"
*Physical Review*,**A50**3331-3339. -
VOURDAS A (1994): "Coherent states on the m-sheeted complex plane"
*Journal of Math. Physics*,**35**2687-2697. -
LUI Z, VOURDAS A and BINNS K.J (1993): "Coupled thermoelectromagnetic analysis for electromagnetic devices with permanent magnets"
*Journal of Physics*,**D26**810-818. -
VOURDAS A and BENDJABALLAH C (1993): "Duality, measurements and factorisation in finite quantum systems"
*Physical Review*,**A47**3523-3529. -
VOURDAS A (1993): "Phase states: an analytic approach in the unit disc"
*Physica Scripta*,**T48**84-86. -
VOURDAS A (1993): "Coherent states on the m-sheeted covering group of SU(1,1)"
*Journal of Math. Physics*,**34**1223-1235. -
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. -
VOURDAS A (1992): "Superpositions of macroscopiaclly distinguishable states in the presence of thermal noise"
*Optical communications*,**91**236-240. -
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. -
VOURDAS A (1992): "Generalised squeezing, Bogoliubov quasi-particles and information in two and three mode systems"
*Physical Review*,**A46**442-451. -
VOURDAS A (1991): "Analytic representations in the unit disc and applications to phase ststes and squeezing"
*Physical Review*,**A45**1943-1950. -
VOURDAS A (1991): "Information in quantum Optical Communication"
*Lecture notes in Physics (springer-Verlag)*,**378**120-123. -
LIU Z, VOURDAS A and BINNS K.J (1991): "Magnetic field and eddy current losses"
*IEE Proc-A*,**138**289-294. -
VOURDAS A (1991): "Transformations in the angle-angular momentum phase space"
*Physical Review*,**A43**1564-1572. -
VOURDAS A (1990): "Gaussian bases for radar signal analysis"
*Signal Processing*,**20**163-169. -
VOURDAS A (1990): "Information theory approach to quantum non-demolition measurements"
*Optical Communications*,**76**164-167. -
VOURDAS A (1990): "Binary optical communications with quantum signals propagating in non-linear media"
*J.Mod. opt*,**37**1661-1672. -
VOURDAS A (1990): "SU(2) and SU(1) phase states"
*Physical Review*,**A41**1653-1661. -
VOURDAS A (1990): "Information in quantum optical binary communications"
*IEEE Trans. Info. Theo.*,**IT3**208-211. -
VOURDAS A and BISHOP R.F (1989): "Phase admixed states: coherence and incoherence"
*Physical Review*,**A39**214-220. -
VOURDAS A (1989): "Optical signals with thermal noise"
*Physical review*,**A39**206-213. -
VOURDAS A and BINNS K.J (1989): "Magnetostatics with scalar potentials in multiply connected regions"
*IEE Proc*,**A13**231-232. -
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. -
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. -
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. -
BISHOP R.F and VOURDAS A (1988): "General two-mode squeezed state"
*Z. Physik*,**B71**527-529. -
VOURDAS A (1988): "Superposition of number eigenstates with thermal light"
*Physical Review*,**A37**3890-3895. -
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. -
VOURDAS A (1987): "Loop gauge theory and group cohomology"
*Journal of Math. Physics*,**28**584-591. -
BISHOP R.F and VOURDAS A (1987): "Coherent mixed states and a generalized P-representation"
*Journal of Physics*,**A20**3743-3769. -
VOURDAS A and WEINER R.M (1987): "Photon Counting distribution in squeezed states"
*Physical Review*,**A36**5866-5869. -
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. -
BISHOP R.F and VOURDAS A (1986): "Generalized coherent states and Bogoliubov transformations"
*Journal of Physics*,**A19**2525-2536. -
VOURDAS A (1986): "Superposition of squeezed coherent states with thermal light"
*Physical Review*,**A34**3466-3469. -
VOURDAS A and BISHOP R.F (1985): "Quantum tunneling in the deformed region of the LMG model"
*Journal of Physics*,**G11**95-101. -
VOURDAS A (1982): "Orbital Classical solutions, non-perturbative phenomena and singularity at the zero coupling constant point"
*Nuclear Physics B*,**195**173-188. -
DONNACHIE A and VOURDAS A (1981): "Central photoproduction of J/Ψ and Y as a test of QCD"
*Z.Physik*,**C7**257-262. -
VOURDAS A (1980): "spin-dependent photon structure functions"
*Journal of Physics*,**G6**789-802.

## BIOGRAPHY +

PhD, University of Manchester, 1977-1980

Postdoctoral Research Associate, University of Liverpool, 1980-1983

Postdoctoral Research Associate, UMIST, 1983-1985

Postdoctoral Research Associate, Marburg, 1985-1987

Lecturer and Reader, University of Liverpool, 1987-2002

Professor University of Bradford, 2002-

DSc, University of Manchester, 1995

170 journal papers and 60 conference papers (3500 citations and h-factor=34 according to __Google Scholar__)

SPRINGER monograph `finite and profinite quantum systems', 2017

__click here__

55 invited talks and 55 contributed talks in international conferences

teaching interests: Computer Architecture, Formal Methods in Computer Science

Currently Head of the Mathematics Discipline, within the School of Electrical Engineering and Computer Science

RESEARCH IN QUANTUM COMPUTING

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

## INTERNATIONAL SCIENTIFIC ACTIVITIES +

Member of the organizing committee of the International conferences on Squeezed States and Uncertainty Relations.

Member of the standing committee of the international colloquia on group theoretical methods in physics (2009-2020)

Member of the advisory panel of J. Phys. A

Member of the EPSRC college

Main organizer of the '10th International conference on squeezed states and uncertainty relations' in Bradford (April 2007)

Coordinator of the UK NETWORK ON TRANSPORT DISSIPATION AND CONTROL IN QUANTUM DEVICES

## Recent Talks

Analytic representations in the complex plane and unit disc.

Galois quantum systems.

Quantum Mechanics on Rational Numbers

Quantum probabilities as non-additive probabilities

## INTERNATIONAL PROFILE +

### Fellowships of Professional Institutions or equivalent

Fellow of the Institute of Physics

[2001]

### International Conference Organisation

Member of the advisory committee for the 12th international school on `Symmetry and Structural Properties of Condensed Matter',
Poland, Sept 2016

[2016]

member of the advisory committee of the `international conference on p-adic mathematical physics and its applications', Sept 2015, Belgrade

[2015]

Member of the advisory committee for the eleventh international school
on 'Symmetry and Structural Properties of Condensed Matter', Poland,
Sept 2014

[2014]

Member of the standing committee for the 30th International colloquium on group theoretical methods in physics, Ghent

[2014]

Member of the international organizing committee of the `13th International Conference on Squeezed States and Uncertainty Relations'

[2013]

member of the organizing committee of the 29th international colloquium on group theoretical methods in physics', Tianjin, China, August 2012; organizer of the parallel session:finite quantum systems and combinatorial
physics

[2012]

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

[2011]

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

[2010]

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

[2009]

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

[2009]

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

[2009]

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

[2007]

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

[2007]

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

[2007]

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

[2006]

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

[2005]

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

[2005]

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

[2005]

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

[2003]

### International Plenary Lectures, Conference Keynote

2016 International conference on `Coherent states and their applications: a contemporary panorama',
Marseille, France (presentation of the talk: coherent spaces, Boolean rings and their applications)

[2016]

2016 31st International colloquium on group theoretical methods in physics, Rio de Janeiro, Brazil,
(presentation of two talks:
1. Choquet integrals of the $Q$-function in statistical mechanics,
2. Weak mutually unbiased bases, finite geometries, and zeros of their analytic representations)

[2016]

2015 9th international symposium on `Quantum Theory and Symmetries', Yerevan, Armenia
(presentation of the talk: Quantum mechanics on profinite groups)

[2015]

International Conference on Problems of Mathematical and Quantum
Physics, Cuernavaca, Mexico, (presentation of the talk: Quantum
probabilities as non-additive probabilities)

[2015]

30th International colloquium on group theoretical methods in physics, Ghent(presentation of the talk: Quantum probabilities versus Kolmogorov probabilities)

[2014]

Conference on time-frequency Analysis, Strobl, Austria, (presentation
of the talk: Harmonic analysis on Q)

[2014]

Advances in Foundations of Quantum Mechanics and Quantum
Information with atoms and photons, Torino, (presentation of the talk:
The lattice of subsystems and Bell-like inequalities)

[2014]

International workshop on p-adic methods for modelling complex systems, Bielefeld 2013 (presentation of the talk: 'quantum mechanics on rational numbers')

[2013]

8th symposium on `quantum theory and symmetries', Mexico 2013
(presentation of the talk: `the lattice of subsystems and contextuality')

[2013]

the 29th international colloquium on group theoretical methods in physics, Tianjin, China,
(presentation of the talk: Partial order and divisor topology in a set of finite quantum systems)

[2012]

19th Central European Workshop on Quantum Optics, Romania
(presentation of the talk: Duality between lines and bases and weak
mutually unbiased bases in finite systems)

[2012]

17th European Course on Complex Analysis, its Generalizations and Applications, Aveiro, Portugal (presentation of a series of lectures on Analytic functions and their applications to quantum mechanics)

[2012]

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

[2011]

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

[2011]

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))

[2011]

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

[2011]

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

[2009]

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

[2009]

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

[2009]

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

[2009]

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

[2009]

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

[2008]

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

[2008]

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

[2008]

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

[2007]

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

[2007]

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

[2007]

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

[2006]

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')

[2006]

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

[2006]

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)

[2005]

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')

[2005]

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

[2005]

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

[2005]

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)

[2005]

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

[2004]

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

[2004]

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

[2003]

### Membership of Research Council Peer Review College

EPSRC.
Also referee for research councils in France, Canada, Singapore

[2010]

### Not Specified

### Other

visiting fellow at St John's college, Oxford, summer 2004

Visiting Professor to The University of Paris 13 (2011)

[2011]

External PhD Examiner: Nottingham(2008), Loughborough(2008), Brunel(2008), Sussex(2008), Loughborough(2009), Bristol (2009), Loughborough(2009), Leeds (2011)

[2008]

member of the EPSRC network `semantics of quantum computation' (Aug 2006-Aug 2009)

[2006]

Coordinator of an EPSRC network (with an EPSRC grant of 62000)

[2005]

## RESEARCH STUDENTS +

Mona Abobakr

Tomi Akinola

RECENTLY COMPLETED (After 2002)

Dr Konstadopoulou

Dr Chong

Dr Tsomokos

Dr Zhang

Dr Ahmad Zukarnain

Dr Lei

Dr Dedes

Dr Lena Wang

Dr H Al Hadhrami

Dr M Jabuni

Dr S Mugassabi

Dr B Idrus

Dr A Mohamed

Dr M Shalaby

Dr P Evangelides

Dr S Oladejo

Dr S Agyo

Dr H Eissa