Joint quasiprobability distribution on the measurement outcomes of MUB-driven operators

The fundamental concepts and operations of quantum information theory are considered in the framework of a phase space formulation of quantum mechanics, where the states of one or several qubits are represented by a specific continuous quasiprobability distribution function on the Bloch sphere or on its generalizations. The function we use is the spherical Wigner function. It is shown that the usual transformations of quantum information theory are certain rotations or more general transformations of this Wigner function. We show that the standard teleportation and dense coding protocols can be appropriately formulated in terms of the Wigner function.

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Quasiprobability distribution functions for finite-dimensional discrete phase spaces: Spin-tunneling effects in a toy model

Physical Review A ◽

10.1103/physreva.79.022114 ◽

2009 ◽

Vol 79 (2) ◽

Cited By ~ 13

Author(s):

Marcelo A. Marchiolli ◽

Evandro C. Silva ◽

Diógenes Galetti

Keyword(s):

Distribution Functions ◽

Spin Tunneling ◽

Finite Dimensional ◽

Discrete Phase ◽

Quasiprobability Distribution

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WIGNER FUNCTION APPROACH TO OSCILLATING SOLUTIONS OF THE 1D-QUINTIC NONLINEAR SCHRÖDINGER EQUATION

Journal of Nonlinear Optical Physics & Materials ◽

10.1142/s0218863513500136 ◽

2013 ◽

Vol 22 (02) ◽

pp. 1350013 ◽

Cited By ~ 3

Author(s):

ALEX MAHALOV ◽

SERGEI K. SUSLOV

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Heisenberg Uncertainty Principle ◽

Nonlinear Schrödinger ◽

Oscillating Solutions ◽

Heisenberg Uncertainty ◽

Quintic Nonlinear Schrödinger Equation ◽

Quasiprobability Distribution

In this paper, we study oscillating solutions of the 1D-quintic nonlinear Schrödinger equation with the help of Wigner's quasiprobability distribution in quantum phase space. An "absolute squeezing property", namely a periodic in time total localization of wave packets at some finite spatial points without violation of the Heisenberg uncertainty principle, is analyzed in this nonlinear model.

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INTENSITY DEPENDENT COUPLING HAMILTONIAN VIA MULTI-PHOTON INTERACTION IN A KERR MEDIUM

International Journal of Modern Physics B ◽

10.1142/s0217979203023392 ◽

2003 ◽

Vol 17 (30) ◽

pp. 5795-5810 ◽

Cited By ~ 5

Author(s):

R. A. ZAIT

Keyword(s):

Single Mode ◽

Kerr Medium ◽

Cavity Field ◽

Field Mode ◽

Atomic Inversion ◽

Two Photon ◽

Level Atom ◽

The One ◽

Q Function ◽

Quasiprobability Distribution

We study the dynamics and quantum characteristics of a single two-level atom interacting with a single mode cavity field undergoing a multi-photon processes in the presence of a nonlinear Kerr-like medium. The wavefunctions of the multi-photon system are obtained when the atom starts in the excited and in the ground state. The atomic inversion, the squeezing of the radiation field and the quasiprobability distribution Q-function of the field are discussed. Numerical results for these characteristics are presented when the atom starts in the excited state and the field mode in a coherent state. The influence of the presence and absence of the number operator and the Kerr medium for the one- and two-photon processes on the evolution of these characteristics are analyzed.

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