Entangled Probability Distributions for Center-of-Mass Tomography

Abstract

We review the formalism of center-of-mass tomograms that allows us to describe quantum states in terms of probability distribution functions. We introduce the concept of separable and entangled probability distributions for the center-of-mass tomography. We obtain the time evolution of center-of-mass tomograms of entangled states of the inverted oscillator.

References in corpus (16)

• Continuous-variable optical quantum state tomography
• Symplectic tomography as classical approach to quantum systems
• Quantum tensor product structures are observable-induced
• Virtual Quantum Subsystems
• An introduction to the tomographic picture of quantum mechanics
• Quantum Tomography
• Alternative commutation relations, star products and tomography
• Bohm-Bell type experiments: Classical probability approach to (no-)signaling and applications to quantum physics and psychology
• On the generation of multipartite entangled states in Josephson architectures
• Tomographic entropic inequalities in the probability representation of quantum mechanics
• Casimir-Polder potentials as entanglement probe
• Conditional probability framework for entanglement and its decoupling from tensor product structure
• Entanglement of observables: Quantum conditional probability approach
• Emergent classical universes from initial quantum states in a tomographical description
• Center of mass tomography and Wigner function for multimode photon states
• Greenberger-Horne-Zeilinger state generation in qubit-chains via a single $\pi /2$-pulse