Work

Probability Representation of Quantum States: Tomographic Representation in Standard Potentials and Peres–Horodecki Criterion for Probabilities

Year: 2025

Type: article

Abstract: In connection with the International Year of Quantum Science and Technology, a review of joint works of the Lebedev Institute and different Mexican research groups is presented; specially related to solving the old problem of the state description not only by wave functions but also by conventional probability distributions analogous to quasiprobability distributions like the Wigner function. Also, explicit expressions of tomographic representations describing the quantum states of particles moving in known potential wells are obtained and briefly discussed. In particular, we present the examples of the tomographic distributions for the free evolution, finite and infinite potential wells, and the Morse potential. Additional to this, an extension of the Peres--Horodecki separability criteria for momentum probability distributions is presented in the case of bipartite, asymmetrical, real states.

Source: Quantum Reports

DOI: 10.3390/quantum7020022

Authors: Julio Alberto Lopez-Saldivar, Margarita A. Man’ko, Vladimir Man’ko

Institutions: National University of Science and Technology, Russian Quantum Center, P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Russian Academy of Sciences

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,689

Funder: National University of Science and Technology