Bipartite entanglement in systems of identical particles: the partial transposition criterion
arXiv:1202.2993 · doi:10.1016/j.aop.2012.02.002
Abstract
We study bipartite entanglement in systems of N identical bosons distributed in M different modes. For such systems, a definition of separability not related to any a priori Hilbert space tensor product structure is needed and can be given in terms of commuting subalgebras of observables. Using this generalized notion of separability, we classify the states for which partial transposition turns out to be a necessary and sufficient condition for entanglement detection.
LaTeX, 22 pages
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- Entanglement Witnesses for Indistinguishable Particles
- Remarks on entanglement and identical particles
- Entanglement of Identical Particles and Coherence in the First Quantization Language
- Hyper-hybrid entanglement, indistinguishability, and two-particle entanglement swapping
- Direct measurement of particle statistical phase
- Locality and entanglement of indistinguishable particles
- Entanglement and algebraic independence in fermion systems
- Applications of differential geometry and representation theory to description of quantum correlations
- Contextuality and nonlocality of indistinguishable particles