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2005•Journal of Physics A Mathematical and GeneralOpen access

Canonical entanglement for two indistinguishable particles

Xiaoguang Wang, Barry C. Sanders

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Abstract

We determine the degree of entanglement for two indistinguishable particles based on the tensor product structure, which is a framework for emphasizing entanglement founded on observational quantities. Our theory connects the canonical entanglement and entanglement based on occupation number for two fermions and for two bosons and shows that the entanglement measure, based on linear entropy, is closely related to the correlation measure for both the bosonic and fermionic cases.

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What this paper is about

We determine the degree of entanglement for two indistinguishable particles based on the tensor product structure, which is a framework for emphasizing entanglement founded on observational quantities. Our theory connects the canonical entanglement and entanglement based on occupation number for two fermions and for two bosons and shows that the entanglement measure, based on linear entropy, is closely related to the correlation measure for both the bosonic and fermionic cases.

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Available abstract

We determine the degree of entanglement for two indistinguishable particles based on the tensor product structure, which is a framework for emphasizing entanglement founded on observational quantities. Our theory connects the canonical entanglement and entanglement based on occupation number for two fermions and for two bosons and shows that the entanglement measure, based on linear entropy, is closely related to the correlation measure for both the bosonic and fermionic cases.

Key concepts: Quantum entanglement, Squashed entanglement, Boson, Multipartite entanglement, Physics, Tensor product, Fermion, Quantum mechanics

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