# Professor Apostolos Vourdas

## Professor of Computer Sciences

Faculty/Dept/School |
Faculty of Eng & Digital Technologies |
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a.vourdas@bradford.ac.uk | |

Telephone | +441274 233950 |

## Biography

200 journal papers and 65 conference papers (4600 citations and h-factor=38 according to Google Scholar https://scholar.google.co.uk/citations?user=2zxCEXwAAAAJ)

65 invited talks and 65 contributed talks in international conferences

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

## Research

RESEARCH IN QUANTUM COMPUTINGFinite 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

Title | Unitarily inequivalent local and global Fourier transforms in multipartite quantum systems (2023) |
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Authors | Lei, Ci, and Vourdas, Apostolos |

Journal | Quantum Information Processing |

Publisher | Springer |

DOI | https://doi.org/10.1007/s11128-022-03820-2 |

Title | Grothendieck bound in a single quantum system (2022) |

Authors | A Vourdas |

Journal | Journal of Physics A: Mathematical and Theoretical |

Title | Markov chains with doubly stochastic transition matrices and application to a sequence of non-selective quantum measurements (2022) |

Authors | Apostolos Vourdas |

Journal | Physica A: Statistical Mechanics and its Applications |

Title | Coherent states with minimum Gini uncertainty for finite quantum systems (2022) |

Authors | Lei, Ci and Vourdas, Apostolos |

Journal | EPL (Europhysics Letters) |

DOI | 10.1209/0295-5075/aca2d8 |

Title | The Choquet integral as an approximation to density matrices with incomplete information (2020) |

Authors | A Vourdas |

Journal | Physica A: Statistical Mechanics and its Applications |

Title | Coherent spaces (2018) |

Authors | Vourdas A. |

Journal | Springer Proceedings In Physics |

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

Title | The groupoid of bifractional transformations (2017) |

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

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

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

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

Authors | Evangelides, Pavlos; Lei, Ci; 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 | 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 | Quantum mechanics on profinite groups and partial order (2013) |

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 | 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 | 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 | 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 | Partial order and a T |

Authors | Vourdas A. |

Journal | Journal of Mathematical Physics |

DOI | 10.1063/1.4764858 |

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

Authors | Vourdas, Apostolos |

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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | Galois quantum systems (2005) |

Authors | Vourdas, Apostolos |

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

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

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

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

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

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

Authors | Vourdas A. |

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

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

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

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

Authors | Vourdas, Apostolos |

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 | 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 | 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 | 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. |