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Canonical entanglement for two indistinguishable particles

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XiaoGuang Wang1,2 and Barry C Sanders1,3

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LETTER TO THE EDITOR

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.


PACS

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

05.70.Ce Thermodynamic functions and equations of state

03.67.Mn Entanglement measures, witnesses, and other characterizations

03.67.Lx Quantum computation architectures and implementations

05.30.Jp Boson systems

05.30.Fk Fermion systems and electron gas

MSC

82B10 Quantum equilibrium statistical mechanics (general)

81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)

82B30 Statistical thermodynamics (See also 80-XX)

Subjects

Quantum gases, liquids and solids

Computational physics

Statistical physics and nonlinear systems

Quantum information and quantum mechanics

Dates

Issue 5 (4 February 2005)

Received 8 October 2004, in final form 9 December 2004

Published 19 January 2005



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