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Comment on ‘Wigner function for a particle in an infinite lattice’

New Journal of Physics, 2013
It is pointed out that in a recent paper (2012 New J. Phys. 14 103009) in which a Wigner function for a particle in an infinite lattice (a system described by an unbounded discrete coordinate and its conjugate angle-like momentum) has been introduced, no
João P S Bizarro
doaj   +1 more source

Wigner function for a particle in an infinite lattice [PDF]

, 2012
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.
Bañuls, Mari-Carmen, Hinarejos, Margarida, Pérez, A.   +2 more
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A Wigner distribution function for finite oscillator systems [PDF]

, 2013
We define a Wigner distribution function for a one-dimensional finite quantum system, in which the position and momentum operators have a finite (multiplicity-free) spectrum. The distribution function is thus defined on discrete phase-space, i.e.
Van der Jeugt, Joris
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Quantum Fourier transform, Heisenberg groups and quasiprobability distributions [PDF]

, 2011
This paper aims to explore the inherent connection among Heisenberg groups, quantum Fourier transform and (quasiprobability) distribution functions. Distribution functions for continuous and finite quantum systems are examined first as a semiclassical ...
Arthurs E, Chaturvedi S, Chistensen O, Diaconis P, Ferrie C, Folland G B, Gabor D, Leonhardt U, Manas K Patra, Mordell L J, Nielsen M, Perelomov A, Rotman J J, Samuel L Braunstein, Schwinger J, Serre J P, Shiryayev A N, Stratonovich R L, Terras A, Vourdas A, Weyl H   +20 more
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Properties of Squeezed-State Excitations [PDF]

, 1996
The photon distribution function of a discrete series of excitations of squeezed coherent states is given explicitly in terms of Hermite polynomials of two variables.
Alfred Wünsche, Bateman H, Boiteux M, Buzek V, Dodonov V V, Dodonov V V, Dodonov V V, Dodonov V V, Dodonov V V, Dodonov V V, Hollenhurst J N, Husimi K, Jáuregui R, Jáuregui R, Kano Y, Klauder J R, Král P, Landau L D, Malkin I A, Man'ko V I, Prudnikov A P, Schleich W, Vladimir I Man'ko, Walls D F, Wünsche A, Wünsche A, Wünsche A, Wünsche A, Wünsche A, Wünsche A   +29 more
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Wigner-function description of quantum teleportation in arbitrary dimensions and continuous limit [PDF]

, 2001
We present a unified approach to quantum teleportation in arbitrary dimensions based on the Wigner-function formalism. This approach provides us with a clear picture of all manipulations performed in the teleportation protocol.
A. Furusawa, A. Lukš, C. H. Bennett, D. Boschi, D. Bouwmeester, G. J. Milburn, J. A. Vaccaro, J. Janszky, J. Vaccaro, L. Vaidman, M. A. Nielsen, M. Koniorczyk, M. Żukowski, N. Lütkenhaus, S. J. van Enk, S. L. Braunstein, S. Yu, T. Opatrný, T. Opatrný, U. Leonhardt, V. Bužek, V. Bužek, W. K. Wootters   +22 more
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Hudson's Theorem for finite-dimensional quantum systems

, 2007
We show that, on a Hilbert space of odd dimension, the only pure states to possess a non-negative Wigner function are stabilizer states. The Clifford group is identified as the set of unitary operations which preserve positivity.
Aschbacher M., Chaturvedi S., D. Gross, Grassl M., Neuhauser M., Nielsen M. A., Rudin W., Schlingemann D., Simon B., Žmud M.   +9 more
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Observation of discrete energy levels in a quantum confined system

, 2005
Low temperature scanning tunneling microscope images and spectroscopic data have been obtained on subnanometer size Pb clusters fabricated using the technique of buffer layer assisted growth.
A. M. Goldman, B. W. Lang, C. E. Porter, K. Nakamura, L. L. A. Adams, M. L. Mehta, Wigner   +6 more
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Classical to quantum correspondence in dissipative directed transport [PDF]

, 2015
We compare the quantum and classical properties of the (Quantum) Isoperiodic Stable Structures -- (Q)ISSs -- which organize the parameter space of a paradigmatic dissipative ratchet model, i.e. the dissipative modified kicked rotator.
Carlo, Gabriel G., Rivas, Alejandro M. F., Spina, Maria E.   +2 more
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Continuous time quantum walks in phase space

, 2005
We formulate continuous time quantum walks (CTQW) in a discrete quantum mechanical phase space. We define and calculate the Wigner function (WF) and its marginal distributions for CTQWs on circles of arbitrary length $N$.
Blumen, Alexander, Muelken, Oliver
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