Entanglement of Identical Particles and Coherence in the First Quantization Language
arXiv:1901.09535 · doi:10.1103/PhysRevA.99.052345
Abstract
We suggest a formalism to illustrate the entanglement of identical particles in the first quantization language (1QL). Our 1QL formalism enables one to exploit all the well-established quantum information tools to understand the indistinguishable ones, including the reduced density matrix and familiar entanglement measures. The rigorous quantitative relation between the amount of entanglement and the spatial coherence of particles is possible in this formalism. Our entanglement detection process is a generalization of the entanglement extraction protocol for identical particles with mode splitting proposed by Killoran et al. (2014).
arXiv comment11 pages, 5 figures, Revtex 4.1; (v2) minor corrections, some references added; (v3) minor corrections and clarifications; (v4) Accepted version (PRA)
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- Dynamics of spatially indistinguishable particles and entanglement protection
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- Shortcut to Multipartite Entanglement Generation: A Graph Approach to Boson Subtractions
- Direct measurement of particle statistical phase
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- Reduced density matrix of nonlocal identical particles
- Accessing inaccessible information via quantum indistinguishability