Ultra-quantum coherent states in a single finite quantum system
A Vourdas (2023) Journal of Physics A: Mathematical and Theoretical. 56
Apostolos Vourdas
Professor of Computer Sciences
- Area
- School of CSAI&E
- Faculty of Eng & Digital Technologies
- Phone
Biography
PhD, DSc from the University of Manchester
200 journal papers and 65 conference papers (4900 citations and h-factor=40 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 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
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Unitarily inequivalent local and global Fourier transforms in multipartite quantum systems
Lei, Ci, and Vourdas, Apostolos (2023) Quantum Information Processing. 22
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Grothendieck bound in a single quantum system
A Vourdas (2022) Journal of Physics A: Mathematical and Theoretical. 55 (435206)
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Coherent states with minimum Gini uncertainty for finite quantum systems
Lei, Ci and Vourdas, Apostolos (2022) EPL (Europhysics Letters). 140
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Markov chains with doubly stochastic transition matrices and application to a sequence of non-selective quantum measurements
Apostolos Vourdas (2022) Physica A: Statistical Mechanics and its Applications. 593
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The Choquet integral as an approximation to density matrices with incomplete information
A Vourdas (2020) Physica A: Statistical Mechanics and its Applications. 545
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Coherent spaces
Vourdas A. (2018) Springer Proceedings In Physics. 205, 173-189.
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Dressed coherent states in finite quantum systems: A cooperative game theory approach
Vourdas, Apostolos (2017)
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Renormalization of total sets of states into generalized bases with a resolution of the identity
Vourdas, Apostolos (2017)
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The groupoid of bifractional transformations
Agyo, Sanfo D.; Lei, Ci; Vourdas, Apostolos (2017)
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Paths of zeros of analytic functions describing finite quantum systems.
Eissa, Hend A.; Evangelides, Pavlos; Lei, Ci; Vourdas, Apostolos (2016)
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Comonotonicity and Choquet integrals of Hermitian operators and their applications.
Vourdas, Apostolos (2016)
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An analytic function approach to weak mutually unbiased bases
Olupitan, Tominiyi E.; Lei, Ci; Vourdas, Apostolos (2016)
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Coherent spaces, Boolean rings and quantum gates
Vourdas, Apostolos (2016)
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Möbius operators and non-additive quantum probabilities in the Birkhoff-von Neumann lattice.
Vourdas, Apostolos (2016)
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Interpolation between phase space quantities with bifractional displacement operators
Agyo, Sanfo D.; Lei, Ci; Vourdas, Apostolos (2015)
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Analytic representations with theta functions for systems on Z(d) and on S{double-struck}
Evangelides P.;Lei C.;Vourdas A. (2015) Journal of Mathematical Physics. 56
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Analytic representations with theta functions for systems on ℤ(d) and on 𝕊.
Evangelides, Pavlos; Lei, Ci; Vourdas, Apostolos (2015)
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Partial ordering of weak mutually unbiased bases
Oladejo, S.O.; Lei, Ci; Vourdas, Apostolos (2014)
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Lower and upper probabilities in the distributive lattice of subsystems
Vourdas, Apostolos (2014)
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Quantum probabilities as Dempster-Shafer probabilities in the lattice of subspaces.
Vourdas, Apostolos (2014)
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Subsystems of a finite quantum system and Bell-like inequalities
Vourdas, Apostolos (2014)
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The complete Heyting algebra of subsystems and contextuality
Vourdas, Apostolos (2013)
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Mutually unbiased projectors and duality between lines and bases in finite quantum systems
Shalaby, Mohamed Mahmoud Youssef; Vourdas, Apostolos (2013)
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Quantum mechanics on profinite groups and partial order
Vourdas, Apostolos (2013)
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Generalized Bargmann functions, their growth and von Neumann lattices
Vourdas A.;Penson K.;Duchamp G.;Solomon A. (2012) Journal of Physics A: Mathematical and Theoretical. 45
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Partial order and a T
0 -topology in a set of finite quantum systemsVourdas A. (2012) Journal of Mathematical Physics. 53
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Harmonic analysis on rational numbers
Vourdas A. (2012) Journal of Mathematical Analysis and Applications. 394, 48-60.
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Weak mutually unbiased bases
Shalaby M.;Vourdas A. (2012) Journal of Physics A: Mathematical and Theoretical. 45
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Complementarity and phases in SU(3)
De Guise H.;Vourdas A.;Sánchez-Soto L. (2012) Journal of Physics A: Mathematical and Theoretical. 45
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Weak coherent states related to the multiplicative group ℂ
Mohamed A.;Lei C.;Vourdas A. (2011) Journal of Physics A: Mathematical and Theoretical. 44
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Finite-dimensional Hilbert space and frame quantization
Cotfas N.;Gazeau J.;Vourdas A. (2011) Journal of Physics A: Mathematical and Theoretical. 44
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Quantum mechanics on Q/Z
Vourdas A. (2011) Journal of Mathematical Physics. 52
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Hamiltonians of quantum systems with positions and momenta in GF(pl)
Vourdas A. (2010) Journal of Mathematical Physics. 51
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Zeros in analytic representations of finite quantum systems on a torus
Tubani M.;Vourdas A.;Zhang S. (2010) Physica Scripta. 82
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Correlations in a chain of three oscillators with nearest neighbour coupling
Idrus B.;Konstadopoulou A.;Spiller T.;Vourdas A. (2010) Journal of Modern Optics. 57, 576-581.
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Harmonic analysis on GF(pp∞): Part II
Vourdas A. (2010) Journal of Mathematical Analysis and Applications. 370, 71-81.
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Totally Disconnected and Locally Compact Heisenberg-Weyl Groups
Vourdas A. (2010) Journal of Fourier Analysis and Applications. 16, 748-767.
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Wigner and Weyl functions for p-adic quantum mechanics
Vourdas A. (2010) Physics of Atomic Nuclei. 73, 237-241.
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Harmonic analysis on GF(pp∞): Part I
Vourdas A. (2010) Journal of Mathematical Analysis and Applications. 370, 57-70.
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Symplectic transformations and quantum tomography in finite quantum systems
Vourdas A.;Banderier C. (2010) Journal of Physics A: Mathematical and Theoretical. 43
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Galois quantum systems, irreducible polynomials and Riemann surfaces
Vourdas, Apostolos (2009)
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Fourth-order interference and the extended phase-space formalism for finite quantum systems
Al Hadhrami H.;Vourdas A. (2009) Physical Review A - Atomic, Molecular, and Optical Physics. 80
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Quantum number theoretic transforms on multipartite finite systems
Vourdas A.;Zhang S. (2009) Journal Of The Optical Society Of America A: Optics And Image Science, And Vision. 26, 1360-1365.
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Almost periodic one-dimensional systems
Mugassabi S.;Vourdas A. (2009) Journal of Physics A: Mathematical and Theoretical. 42
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Symplectic transformations and entanglement in multipartite finite systems
Wang L.;Al Hadhrami H.;Vourdas A. (2008) European Physical Journal D. 49, 265-272.
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Quantum mechanics on p-adic numbers
Vourdas A. (2008) Journal of Physics A: Mathematical and Theoretical. 41
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Harmonic analysis on a galois field and its subfields
Vourdas A. (2008) Journal of Fourier Analysis and Applications. 14, 102-123.
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Squeezed states and uncertainty relations since 1991
Dodonov V.;Man'Ko M.;Man'Ko V.;Vourdas A. (2007) Journal of Russian Laser Research. 28, 404-428.
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Quantum systems with finite Hilbert space: Galois fields in quantum mechanics
Vourdas A. (2007) Journal of Physics A: Mathematical and Theoretical. 40
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Fourier transform in multimode systems in the Bargmann representation
Lei C.;Vourdas A. (2007) Journal of Physics A: Mathematical and Theoretical. 40, 6193-6209.
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Galois quantum systems, irreducible polynomials and Riemann surfaces
Vourdas A. (2006) Journal of Mathematical Physics. 47
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The influence of entangled photons on distant persistent currents
Dajka J.;Vourdas A.;Zhang S.;Zipper E. (2006) Journal of Physics Condensed Matter. 18, 1367-1379.
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The frobenius formalism in galois quantum systems
Vourdas A. (2006) Acta Applicandae Mathematicae. 93, 197-214.
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Applications and implementation of Fourier multiport devices
Zhang S.;Lei C.;Vourdas A.;Dunningham J. (2006) Journal Of Physics B: Atomic, Molecular And Optical Physics. 39, 1625-1637.
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Efficient comparison of path-lengths using Fourier multiport devices
Dunningham J.;Vourdas A. (2006) Journal Of Physics B: Atomic, Molecular And Optical Physics. 39, 1579-1586.
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Analytic and contour representations in the unit disk based on SU(1,1) coherent states
Lei C.;Vourdas A.;Wünsche A. (2005) Journal of Mathematical Physics. 46
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Entanglement of distant superconducting quantum interference device rings
Konstadopoulou, Anastasia; Vourdas, Apostolos; Migliore, R.; Ahmad Zukarnain, Z.; Messina, A. (2005)
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Propagation of a quantum state in a continuum of coupled oscillators and applications to entanglement
Vourdas A. (2005) Journal of Physics A: Mathematical and General. 38, 9859-9875.
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Mode displacements in multimode systems and applications to entanglement
Vourdas A. (2005) Physical Review A - Atomic, Molecular, and Optical Physics. 71
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Electron interference in mesoscopic devices in the presence of nonclassical electromagnetic fields
Tsomokos D.;Chong C.;Vourdas A. (2005) Journal of Optics B: Quantum and Semiclassical Optics. 7
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Galois quantum systems
Vourdas, Apostolos (2005)
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Fourier multiport devices
Vourdas A.;Dunningham J. (2005) Physical Review A - Atomic, Molecular, and Optical Physics. 71
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Entanglement of distant electron interference experiments
Tsomokos D.;Chong C.;Vourdas A. (2004) Physical Review A - Atomic, Molecular, and Optical Physics. 69, 138101-138105.
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Persistent currents in the presence of nonclassical electromagnetic fields
Dajka J.;Szopa M.;Vourdas A.;Zipper E. (2004) Physical Review B - Condensed Matter and Materials Physics. 69
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The Bargmann analytic representation in signal analysis
Stergioulas L.;Vourdas A. (2004) Journal of Computational and Applied Mathematics. 167, 183-192.
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Symplectically entangled states and their applications to coding
Vourdas A. (2004) Journal of Physics A: Mathematical and General. 37, 3305-3319.
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Entangled quantum currents in distant mesoscopic Josephson junctions
Tsomokos D.;Chong C.;Vourdas A. (2004) Journal of Physics Condensed Matter. 16, 9169-9180.
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Superconducting analogs of quantum optical phenomena: Macroscopic quantum superpositions and squeezing in a superconducting quantum-interference device ring
Everitt M.;Clark T.;Stiffell P.;Vourdas A.;Ralph J.;Prance R.;Prance H. (2004) Physical Review A - Atomic, Molecular, and Optical Physics. 69
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Analytic representation of finite quantum systems
Zhang S.;Vourdas A. (2004) Journal of Physics A: Mathematical and General. 37, 8349-8363.
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Quantum systems with finite Hilbert space
Vourdas A. (2004) Reports on Progress in Physics. 67, 267-320.
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Local correlations and uncertainties in one-mode systems
Vourdas A. (2004) Physical Review A - Atomic, Molecular, and Optical Physics. 69, 221081-221086.
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Entangling gates using Josephson circuits coupled through non-classical microwaves.
Migliore, R.; Konstadopoulou, Anastasia; Vourdas, Apostolos; Spiller, T.P.; Messina, A. (2003)
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Phase space methods for particles on a circle
Zhang S.;Vourdas A. (2003) Journal of Mathematical Physics. 44, 5084-5094.
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Factorization in finite quantum systems.
Vourdas, Apostolos (2003)
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Vortices in Josephson arrays interacting with non-classical microwaves: The effect of dissipation.
Konstadopoulou, Anastasia; Hollingworth, J.M.; Everitt, M.; Vourdas, Apostolos; Clark, T.D.; Ralph, J.F. (2003)
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Correlations in interfering electrons irradiated by nonclassical microwaves
Chong C.;Tsomokos D.;Vourdas A. (2002) Physical Review A - Atomic, Molecular, and Optical Physics. 66, 338131-338138.
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A non-destructive determination of the rare-earth ion concentration in laser crystals
Kobe S.;Podmiljšak B.;McGuiness P.;Sarantopoulou E.;Kollia Z.;Vourdas A.;Cefalas A. (2002) Crystal Engineering. 5, 307-315.
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Coding with finite quantum systems.
Vourdas, Apostolos (2002)
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Gazeau-Klauder coherent states in one-mode systems with periodic potential.
Konstadopoulou, Anastasia; Chountasis, S.; Hollingworth, J.M.; Vourdas, Apostolos; Backhouse, N.B. (2001)