Identical particles and entanglement

Abstract

We review two general criteria for deciding whether a pure bipartite quantum state describing a system of two identical particles is entangled or not. The first one considers the possibility of attributing a complete set of objective properties to each particle belonging to the composed system, while the second is based both on the consideration of the Slater-Schmidt number of the fermionic and bosonic analog of the Schmidt decomposition and on the evaluation of the von Neumann entropy of the one-particle reduced statistical operators.

8 pages; Latex; Talk delivered at the International Conference on Quantum Optics 2004, Minsk, Belarus

References in corpus (6)

• Quantum Correlations in Two-Fermion Systems
• The entanglement of indistinguishable particles shared between two parties
• General criterion for the entanglement of two indistinguishable particles
• Quantum Correlations in Two-Boson Wavefunctions
• Entanglement in a two-identical-particle system
• Entanglement and Properties

Cited by in corpus (14)

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• Exchange Symmetry and Multipartite Entanglement
• The Relationship Between Entanglement, Energy, and Level Degeneracy in Two-Electrons Systems
• Entanglement for multipartite systems of indistinguishable particles
• Second-order, number-conserving description of non-equilibrium dynamics in finite-temperature Bose-Einstein condensates
• Entanglement in a spin system with inverse square statistical interaction
• Entropic Entanglement Criteria for Fermion Systems
• Charge transfer statistics and entanglement in normal-quantum dot-superconductor hybrid structures
• Entanglement generation through particle detection in systems of identical fermions
• Quantum Entanglement In One-Dimensional Anyons
• Segre maps and entanglement for multipartite systems of indistinguishable particles
• Orbital and electronic entanglement in quantum teleportation schemes
• Role of indistinguishability and entanglement in Hong-Ou-Mandel interference and finite bandwidth effects of frequency entangled photons
• Equivalence of Spatial and Particle Entanglement Growth After a Quantum Quench