Entanglement of Indistinguishable Particles Shared between Two Parties
Howard M. WisemanCentre for Quantum Computer Technology, Centre for Quantum Dynamics, School of Science, Griffith University, Brisbane, Queensland 4111 AustraliaJohn A. VaccaroCentre for Quantum Computer Technology, Centre for Quantum Dynamics, School of Science, Griffith University, Brisbane, Queensland 4111 Australia
2003en
ABI
Abstract
Using an operational definition we quantify the entanglement, ${E}_{P}$, between two parties who share an arbitrary pure state of $N$ indistinguishable particles. We show that ${E}_{P}\ensuremath{\le}{E}_{M}$, where ${E}_{M}$ is the bipartite entanglement calculated from the mode-occupation representation. Unlike ${E}_{M}$, ${E}_{P}$ is superadditive. For example, ${E}_{P}=0$ for any single-particle state, but the state $|1⟩|1⟩$, where both modes are split between the two parties, has ${E}_{P}=1/2$. We discuss how this relates to quantum correlations between particles, for both fermions and bosons.
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Cited by 20 references