Symplectic tomography as classical approach to quantum systems
TLDR
By using a generalization of the optical tomography technique, the authors describe the dynamics of a quantum system in terms of equations for a purely classical probability distribution which contains complete information about the system.About:
This article is published in Physics Letters A.The article was published on 1996-04-15 and is currently open access. It has received 484 citations till now. The article focuses on the topics: Open quantum system & Quantum dynamics.read more
Citations
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Journal ArticleDOI
Quantum systems with finite Hilbert space
TL;DR: In this paper, a factorization of finite quantum systems in terms of smaller subsystems, based on the Chinese remainder theorem, is studied, and the general formalism is applied to the case of angular momentum.
Journal ArticleDOI
An introduction to the tomographic picture of quantum mechanics
TL;DR: In this paper, the authors reviewed the theory of fair probability distributions (i.e. tomographic probabilities) in a pedagogical style, and the relation between the quantum state description and the classical state description is elucidated.
Journal ArticleDOI
Spin state tomography
TL;DR: In this paper, an invariant form for the spin state density operator is derived in terms of an integral, over the angles which specify the quantization axis, of a product of the measured probability of the values of the spin along a chosen direction and spherical harmonics summed with Clebsch-Gordan functions.
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Alternative commutation relations, star products and tomography
TL;DR: In this article, the authors considered the relation between the Weyl-Wigner-Stratonovich map and the s-ordered quasi-distribution of quantum observables.
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Classical-like description of quantum dynamics by means of symplectic tomography
TL;DR: In this paper, the dynamical equations of quantum mechanics are rewritten in the form of dynamical equation for the measurable, positive marginal distribution of the shifted, rotated, and squeezed quadrature introduced in the so-called "symplectic tomography" and a comparison with the well-known quasi-probabilities approach is given.
References
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Book ChapterDOI
On the quantum correction for thermodynamic equilibrium
TL;DR: In this article, the Boltzmann formula for lower temperatures has been developed for a correction term, which can be developed into a power series of h. The formula is developed for this correction by means of a probability function and the result discussed.
Journal ArticleDOI
Measurement of the Wigner distribution and the density matrix of a light mode using optical homodyne tomography: Application to squeezed states and the vacuum.
TL;DR: In this paper, the probability distributions of quadrature-field amplitude for both vacuum and quadraturesqueezed states of a mode of the electromagnetic field were measured using optical homodyne tomography.
Journal ArticleDOI
Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase
K. Vogel,Hannes Risken +1 more
TL;DR: In this article, it was shown that the probability distribution for the rotated quadrature phase can be expressed in terms of quasiprobability distributions such as P, Q, and Wigner functions.
Proceedings Article
Measurement of the Wigner distribution and the density matrix of a light mode by using optical homodyne tomography: application to squeezed states and vacuum
TL;DR: From measurements of quadrature-field amplitude, the technique of optical homodyne tomography is demonstrated to determine the Wigner distribution and the density matrix of the mode, providing a complete quantum mechanical characterization of the measured mode.
Journal ArticleDOI
Even and odd coherent states and excitations of a singular oscillator
TL;DR: In this article, the authors introduce even and odd coherent states, where the transition amplitudes between the energy levels of a singular nonstationary oscillator in the case of constant frequency in the remote past and future and generating functions for these amplitudes are obtained, by a method similar to the usual coherent-state method.
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Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase
K. Vogel,Hannes Risken +1 more