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We study the Wigner function for a quantum system with a discrete, infinite dimensional Hilbert space, such as a spinless particle moving on a one dimensional infinite lattice.
On the quantum correction for thermodynamic equilibrium
E. Wigner · 1932
Earlier work this paper cites.
Quantum mechanics as a statistical theory
Jose Moyal · 1949
Earlier work this paper cites.
On distributions in representation space
R. L. Stratonovich · 1957
Earlier work this paper cites.
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
Milton Abramowitz and Irene A. Stegun · 1972
Earlier work this paper cites.
When is the wigner quasi-probability density non-negative?
R.L. Hudson · 1974
Earlier work this paper cites.
Distribution functions in physics: Fundamentals
M. Hillery, R. F. O’Connell, M. O. Scully, and E. P. Wigner · 1984
Earlier work this paper cites.
Quantum mechanics without probability amplitudes
W. K. Wootters · 1986
Earlier work this paper cites.
A unified definition for the discrete-time, discrete-frequency, and discrete-time/frequency wigner distributions
F. Peyrin and R. Prost · 1986
Earlier work this paper cites.
A tomographic approach to wigner’s function
J. Bertrand and P. Bertrand · 1987
Earlier work this paper cites.
A wigner-function formulation of finite-state quantum mechanics
William K. Wootters · 1987
Earlier work this paper cites.
Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase
K. Vogel and H. Risken · 1989
Earlier work this paper cites.
Quantum-state tomography and discrete wigner function
Ulf Leonhardt · 1995
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Quantum Optics in Phase Space
Wolfgang P. Schleich · 2001
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César Miquel, Juan Pablo Paz, and Marcos Saraceno · 2002
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Phase-space approach to the study of decoherence in quantum walks
Cecilia C. López and Juan Pablo Paz · 2003
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Wigner function for discrete phase space: Exorcising ghost images
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Classicality in discrete wigner functions
Cecilia Cormick, Ernesto F. Galvão, Daniel Gottesman, Juan Pablo Paz, and Arthur O. Pittenger · 2006
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Hudson’s theorem for finite-dimensional quantum systems
David Gross · 2006
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Non-negative wigner functions in prime dimensions
D. Gross · 2007
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Extending hudson’s theorem to mixed quantum states
A. Mandilara, E. Karpov, and N. J. Cerf · 2009
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Non-negative wigner functions for orbital angular momentum states
I. Rigas, L. L. Sánchez-Soto, A. B. Klimov, J. Řeháček, and Z. Hradil · 2010
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Discrete phase space based on finite fields
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Quantum systems with finite hilbert space
A. Vourdas · 2004
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Discrete wigner functions and quantum computational speedup
Ernesto F. Galvão · 2005
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Qubits in phase space: Wigner-function approach to quantum-error correction and the mean-king problem
Juan Pablo Paz, Augusto José Roncaglia, and Marcos Saraceno · 2005
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Quasi-probability representations of quantum theory with applications to quantum information science
Christopher Ferrie · 2011
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Doubling feature of the wigner function: finite phase space
J Zak · 2011
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Directly estimating nonclassicality
A. Mari, K. Kieling, B. Melholt Nielsen, E. S. Polzik, and J. Eisert · 2011
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Orbital angular momentum in phase space
I. Rigas, L.L. Sánchez-Soto, A.B. Klimov, J. Řeháček, and Z. Hradil · 2011
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