General criterion for the entanglement of two indistinguishable particles

Canonical entanglement for two indistinguishable particles

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...

Entanglement of indistinguishable particles shared between two parties.

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)< or =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...

ua nt - p h / 04 01 06 5 v 1 1 2 Ja n 20 04 A general criterion for the entanglement of two indistinguishable particles ∗

We relate the notion of entanglement for quantum systems composed of two identical constituents to the impossibility of attributing a complete set of properties to both particles. This implies definite constraints on the mathematical form of the state vector associated to the whole system. We then analyze separately the cases of fermion and boson systems, and we show how the consideration of bo...

ua nt - p h / 04 01 06 5 v 2 1 4 Ju l 2 00 4 General criterion for the entanglement of two indistinguishable particles ∗

We relate the notion of entanglement for quantum systems composed of two identical constituents to the impossibility of attributing a complete set of properties to both particles. This implies definite constraints on the mathematical form of the state vector associated with the whole system. We then analyze separately the cases of fermion and boson systems, and we show how the consideration of ...

Entanglement of indistinguishable particles in condensed-matter physics