Tomography on f-oscillators

TL;DR

This paper reviews symplectic tomographies of classical and quantum states, discusses nonlinear f-oscillators, and explores their coherent states and entanglement properties using tomographic probability representations.

Contribution

It introduces the application of tomographic methods to analyze nonlinear f-oscillators and their entanglement, providing new insights into their quantum state representations.

Findings

Entanglement of f-coherent states evaluated by linear entropy

Tomographic probability representations applied to oscillator states

Analysis of entanglement in even and odd f-coherent states

Abstract

Symplectic tomographies of classical and quantum states are shortly reviewed. The concept of nonlinear f-oscillators and their properties are recalled. The tomographic probability representations of oscillator coherent states and the problem of entanglement are then discussed. The entanglement of even and odd f-coherent states is evaluated by the linear entropy.