# Apostolos Vourdas

## Professor of Computing

Faculty/Dept/School |
Department of Computer Science |
---|---|

a.vourdas@bradford.ac.uk | |

Telephone | +441274 233950 |

## Biography

170 journal papers and 60 conference papers (4100 citations and h-factor=37 according to Google Scholar https://scholar.google.co.uk/citations?user=2zxCEXwAAAAJ)55 invited talks and 55 contributed talks in international conferences

teaching interests: Computer Architecture, Formal Methods in Computer Science, Computer Graphics

## Research

Research Groups: Applied Mathematics Research Groups: Applied Mathematics 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 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## Publications

Peer Reviewed Journal | |
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Title | Coherent spaces (2018) |

Authors | Vourdas A. |

Journal | Springer Proceedings In Physics |

DOI | 10.1007/978-3-319-76732-1_9 |

Title | Dressed coherent states in finite quantum systems: A cooperative game theory approach (2017) |

Authors | Vourdas, Apostolos |

Title | The groupoid of bifractional transformations (2017) |

Authors | Agyo, Sanfo D.; Lei, Ci; Vourdas, Apostolos |

Title | Renormalization of total sets of states into generalized bases with a resolution of the identity (2017) |

Authors | Vourdas, Apostolos |

Title | Paths of zeros of analytic functions describing finite quantum systems. (2016) |

Authors | Eissa, Hend A.; Evangelides, Pavlos; Lei, Ci; Vourdas, Apostolos |

Title | Comonotonicity and Choquet integrals of Hermitian operators and their applications. (2016) |

Authors | Vourdas, Apostolos |

Title | An analytic function approach to weak mutually unbiased bases (2016) |

Authors | Olupitan, Tominiyi E.; Lei, Ci; Vourdas, Apostolos |

Title | Coherent spaces, Boolean rings and quantum gates (2016) |

Authors | Vourdas, Apostolos |

Title | Möbius operators and non-additive quantum probabilities in the Birkhoff-von Neumann lattice. (2016) |

Authors | Vourdas, Apostolos |

Title | Analytic representations with theta functions for systems on Z(d) and on S{double-struck} (2015) |

Authors | Evangelides P.;Lei C.;Vourdas A. |

Journal | Journal of Mathematical Physics |

DOI | 10.1063/1.4927256 |

Title | Interpolation between phase space quantities with bifractional displacement operators (2015) |

Authors | Agyo, Sanfo D.; Lei, Ci; Vourdas, Apostolos |

Title | Analytic representations with theta functions for systems on ℤ(d) and on 𝕊. (2015) |

Authors | Evangelides, Pavlos; Lei, Ci; Vourdas, Apostolos |

Title | Partial ordering of weak mutually unbiased bases (2014) |

Authors | Oladejo, S.O.; Lei, Ci; Vourdas, Apostolos |

Title | Lower and upper probabilities in the distributive lattice of subsystems (2014) |

Authors | Vourdas, Apostolos |

Title | Quantum probabilities as Dempster-Shafer probabilities in the lattice of subspaces. (2014) |

Authors | Vourdas, Apostolos |

Title | Subsystems of a finite quantum system and Bell-like inequalities (2014) |

Authors | Vourdas, Apostolos |

Title | Mutually unbiased projectors and duality between lines and bases in finite quantum systems (2013) |

Authors | Shalaby, Mohamed Mahmoud Youssef; Vourdas, Apostolos |

Title | Quantum mechanics on profinite groups and partial order (2013) |

Authors | Vourdas, Apostolos |

Title | The complete Heyting algebra of subsystems and contextuality (2013) |

Authors | Vourdas, Apostolos |

Title | Generalized Bargmann functions, their growth and von Neumann lattices (2012) |

Authors | Vourdas A.;Penson K.;Duchamp G.;Solomon A. |

Journal | Journal of Physics A: Mathematical and Theoretical |

DOI | 10.1088/1751-8113/45/24/244031 |

Title | Weak mutually unbiased bases (2012) |

Authors | Shalaby M.;Vourdas A. |

Journal | Journal of Physics A: Mathematical and Theoretical |

DOI | 10.1088/1751-8113/45/5/052001 |

Title | Complementarity and phases in SU(3) (2012) |

Authors | De Guise H.;Vourdas A.;Sánchez-Soto L. |

Journal | Journal of Physics A: Mathematical and Theoretical |

DOI | 10.1088/1751-8113/45/24/244030 |

Title | Harmonic analysis on rational numbers (2012) |

Authors | Vourdas A. |

Journal | Journal of Mathematical Analysis and Applications |

DOI | 10.1016/j.jmaa.2012.04.059 |

Title | Partial order and a T |

Authors | Vourdas A. |

Journal | Journal of Mathematical Physics |

DOI | 10.1063/1.4764858 |

Title | Finite-dimensional Hilbert space and frame quantization (2011) |

Authors | Cotfas N.;Gazeau J.;Vourdas A. |

Journal | Journal of Physics A: Mathematical and Theoretical |

DOI | 10.1088/1751-8113/44/17/175303 |

Title | Quantum mechanics on Q/Z (2011) |

Authors | Vourdas A. |

Journal | Journal of Mathematical Physics |

DOI | 10.1063/1.3597555 |

Title | Weak coherent states related to the multiplicative group ℂ (2011) |

Authors | Mohamed A.;Lei C.;Vourdas A. |

Journal | Journal of Physics A: Mathematical and Theoretical |

DOI | 10.1088/1751-8113/44/21/215304 |

Title | Totally Disconnected and Locally Compact Heisenberg-Weyl Groups (2010) |

Authors | Vourdas A. |

Journal | Journal of Fourier Analysis and Applications |

DOI | 10.1007/s00041-010-9125-6 |

Title | Wigner and Weyl functions for p-adic quantum mechanics (2010) |

Authors | Vourdas A. |

Journal | Physics of Atomic Nuclei |

DOI | 10.1134/S1063778810020055 |

Title | Hamiltonians of quantum systems with positions and momenta in GF(pl) (2010) |

Authors | Vourdas A. |

Journal | Journal of Mathematical Physics |

DOI | 10.1063/1.3422522 |

Title | Harmonic analysis on GF(p^{p∞}): Part I (2010) |

Authors | Vourdas A. |

Journal | Journal of Mathematical Analysis and Applications |

DOI | 10.1016/j.jmaa.2010.04.065 |

Title | Harmonic analysis on GF(p^{p∞}): Part II (2010) |

Authors | Vourdas A. |

Journal | Journal of Mathematical Analysis and Applications |

DOI | 10.1016/j.jmaa.2010.04.064 |

Title | Zeros in analytic representations of finite quantum systems on a torus (2010) |

Authors | Tubani M.;Vourdas A.;Zhang S. |

Journal | Physica Scripta |

DOI | 10.1088/0031-8949/82/03/038107 |

Title | Correlations in a chain of three oscillators with nearest neighbour coupling (2010) |

Authors | Idrus B.;Konstadopoulou A.;Spiller T.;Vourdas A. |

Journal | Journal of Modern Optics |

DOI | 10.1080/09500341003789926 |

Title | Symplectic transformations and quantum tomography in finite quantum systems (2010) |

Authors | Vourdas A.;Banderier C. |

Journal | Journal of Physics A: Mathematical and Theoretical |

DOI | 10.1088/1751-8113/43/4/042001 |

Title | Galois quantum systems, irreducible polynomials and Riemann surfaces (2009) |

Authors | Vourdas, Apostolos |

Title | Fourth-order interference and the extended phase-space formalism for finite quantum systems (2009) |

Authors | Al Hadhrami H.;Vourdas A. |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

DOI | 10.1103/PhysRevA.80.022110 |

Title | Quantum number theoretic transforms on multipartite finite systems (2009) |

Authors | Vourdas A.;Zhang S. |

Journal | Journal Of The Optical Society Of America A: Optics And Image Science, And Vision |

DOI | 10.1364/JOSAA.26.001360 |

Title | Almost periodic one-dimensional systems (2009) |

Authors | Mugassabi S.;Vourdas A. |

Journal | Journal of Physics A: Mathematical and Theoretical |

DOI | 10.1088/1751-8113/42/20/202001 |

Title | Symplectic transformations and entanglement in multipartite finite systems (2008) |

Authors | Wang L.;Al Hadhrami H.;Vourdas A. |

Journal | European Physical Journal D |

DOI | 10.1140/epjd/e2008-00166-3 |

Title | Quantum mechanics on p-adic numbers (2008) |

Authors | Vourdas A. |

Journal | Journal of Physics A: Mathematical and Theoretical |

DOI | 10.1088/1751-8113/41/45/455303 |

Title | Harmonic analysis on a galois field and its subfields (2008) |

Authors | Vourdas A. |

Journal | Journal of Fourier Analysis and Applications |

DOI | 10.1007/s00041-007-9000-2 |

Title | Fourier transform in multimode systems in the Bargmann representation (2007) |

Authors | Lei C.;Vourdas A. |

Journal | Journal of Physics A: Mathematical and Theoretical |

DOI | 10.1088/1751-8113/40/23/013 |

Title | Quantum systems with finite Hilbert space: Galois fields in quantum mechanics (2007) |

Authors | Vourdas A. |

Journal | Journal of Physics A: Mathematical and Theoretical |

DOI | 10.1088/1751-8113/40/33/R01 |

Title | Squeezed states and uncertainty relations since 1991 (2007) |

Authors | Dodonov V.;Man'Ko M.;Man'Ko V.;Vourdas A. |

Journal | Journal of Russian Laser Research |

DOI | 10.1007/s10946-007-0031-6 |

Title | Efficient comparison of path-lengths using Fourier multiport devices (2006) |

Authors | Dunningham J.;Vourdas A. |

Journal | Journal Of Physics B: Atomic, Molecular And Optical Physics |

DOI | 10.1088/0953-4075/39/7/002 |

Title | Galois quantum systems, irreducible polynomials and Riemann surfaces (2006) |

Authors | Vourdas A. |

Journal | Journal of Mathematical Physics |

DOI | 10.1063/1.2345111 |

Title | The frobenius formalism in galois quantum systems (2006) |

Authors | Vourdas A. |

Journal | Acta Applicandae Mathematicae |

DOI | 10.1007/s10440-006-9040-7 |

Title | Applications and implementation of Fourier multiport devices (2006) |

Authors | Zhang S.;Lei C.;Vourdas A.;Dunningham J. |

Journal | Journal Of Physics B: Atomic, Molecular And Optical Physics |

DOI | 10.1088/0953-4075/39/7/006 |

Title | The influence of entangled photons on distant persistent currents (2006) |

Authors | Dajka J.;Vourdas A.;Zhang S.;Zipper E. |

Journal | Journal of Physics Condensed Matter |

DOI | 10.1088/0953-8984/18/4/021 |

Title | Analytic and contour representations in the unit disk based on SU(1,1) coherent states (2005) |

Authors | Lei C.;Vourdas A.;Wünsche A. |

Journal | Journal of Mathematical Physics |

DOI | 10.1063/1.2098527 |

Title | Propagation of a quantum state in a continuum of coupled oscillators and applications to entanglement (2005) |

Authors | Vourdas A. |

Journal | Journal of Physics A: Mathematical and General |

DOI | 10.1088/0305-4470/38/45/009 |

Title | Electron interference in mesoscopic devices in the presence of nonclassical electromagnetic fields (2005) |

Authors | Tsomokos D.;Chong C.;Vourdas A. |

Journal | Journal of Optics B: Quantum and Semiclassical Optics |

DOI | 10.1088/1464-4266/7/6/R01 |

Title | Mode displacements in multimode systems and applications to entanglement (2005) |

Authors | Vourdas A. |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

DOI | 10.1103/PhysRevA.71.043821 |

Title | Fourier multiport devices (2005) |

Authors | Vourdas A.;Dunningham J. |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

DOI | 10.1103/PhysRevA.71.013809 |

Title | Entanglement of distant superconducting quantum interference device rings (2005) |

Authors | Konstadopoulou, Anastasia; Vourdas, Apostolos; Migliore, R.; Ahmad Zukarnain, Z.; Messina, A. |

Title | Galois quantum systems (2005) |

Authors | Vourdas, Apostolos |

Title | Analytic representation of finite quantum systems (2004) |

Authors | Zhang S.;Vourdas A. |

Journal | Journal of Physics A: Mathematical and General |

DOI | 10.1088/0305-4470/37/34/011 |

Title | Persistent currents in the presence of nonclassical electromagnetic fields (2004) |

Authors | Dajka J.;Szopa M.;Vourdas A.;Zipper E. |

Journal | Physical Review B - Condensed Matter and Materials Physics |

DOI | 10.1103/PhysRevB.69.045305 |

Title | Local correlations and uncertainties in one-mode systems (2004) |

Authors | Vourdas A. |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Title | Entanglement of distant electron interference experiments (2004) |

Authors | Tsomokos D.;Chong C.;Vourdas A. |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Title | Superconducting analogs of quantum optical phenomena: Macroscopic quantum superpositions and squeezing in a superconducting quantum-interference device ring (2004) |

Authors | Everitt M.;Clark T.;Stiffell P.;Vourdas A.;Ralph J.;Prance R.;Prance H. |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

DOI | 10.1103/PhysRevA.69.043804 |

Title | Entangled quantum currents in distant mesoscopic Josephson junctions (2004) |

Authors | Tsomokos D.;Chong C.;Vourdas A. |

Journal | Journal of Physics Condensed Matter |

DOI | 10.1088/0953-8984/16/50/008 |

Title | Quantum systems with finite Hilbert space (2004) |

Authors | Vourdas A. |

Journal | Reports on Progress in Physics |

DOI | 10.1088/0034-4885/67/3/R03 |

Title | The Bargmann analytic representation in signal analysis (2004) |

Authors | Stergioulas L.;Vourdas A. |

Journal | Journal of Computational and Applied Mathematics |

DOI | 10.1016/j.cam.2003.10.002 |

Title | Symplectically entangled states and their applications to coding (2004) |

Authors | Vourdas A. |

Journal | Journal of Physics A: Mathematical and General |

DOI | 10.1088/0305-4470/37/9/017 |

Title | Factorization in finite quantum systems. (2003) |

Authors | Vourdas, Apostolos |

Title | Entangling gates using Josephson circuits coupled through non-classical microwaves. (2003) |

Authors | Migliore, R.; Konstadopoulou, Anastasia; Vourdas, Apostolos; Spiller, T.P.; Messina, A. |

Title | Vortices in Josephson arrays interacting with non-classical microwaves: The effect of dissipation. (2003) |

Authors | Konstadopoulou, Anastasia; Hollingworth, J.M.; Everitt, M.; Vourdas, Apostolos; Clark, T.D.; Ralph, J.F. |

Title | Phase space methods for particles on a circle (2003) |

Authors | Zhang S.;Vourdas A. |

Journal | Journal of Mathematical Physics |

DOI | 10.1063/1.1616997 |

Title | Correlations in interfering electrons irradiated by nonclassical microwaves (2002) |

Authors | Chong C.;Tsomokos D.;Vourdas A. |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Title | A non-destructive determination of the rare-earth ion concentration in laser crystals (2002) |

Authors | Kobe S.;Podmiljšak B.;McGuiness P.;Sarantopoulou E.;Kollia Z.;Vourdas A.;Cefalas A. |

Journal | Crystal Engineering |

DOI | 10.1016/S1463-0184(02)00042-4 |

Title | Coding with finite quantum systems. (2002) |

Authors | Vourdas, Apostolos |

Title | Gazeau-Klauder coherent states in one-mode systems with periodic potential. (2001) |

Authors | Konstadopoulou, Anastasia; Chountasis, S.; Hollingworth, J.M.; Vourdas, Apostolos; Backhouse, N.B. |