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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

Conference Publications

Chapters in Books

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

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