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 closely related to the correlation measure for both the bosonic and fermionic cases.

[1]  G. Ghirardi,et al.  General criterion for the entanglement of two indistinguishable particles (10 pages) , 2004, quant-ph/0401065.

[2]  A. J. Scott Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions , 2003, quant-ph/0310137.

[3]  Bambi Hu,et al.  Bipartite entanglement and localization of one-particle states , 2003, quant-ph/0308116.

[4]  Bambi Hu,et al.  Mode entanglement of electrons in the one-dimensional Frenkel-Kontorova model , 2003, quant-ph/0308118.

[5]  A. Lakshminarayan,et al.  Entanglement sharing in one-particle states , 2002, quant-ph/0212049.

[6]  J. Vaccaro,et al.  The entanglement of indistinguishable particles shared between two parties , 2002, 2003 European Quantum Electronics Conference. EQEC 2003 (IEEE Cat No.03TH8665).

[7]  M. Lewenstein,et al.  Quantum Correlations in Systems of Indistinguishable Particles , 2002, quant-ph/0203060.

[8]  A. Fisher,et al.  Describing mixed spin-space entanglement of pure states of indistinguishable particles using an occupation-number basis , 2002, quant-ph/0202051.

[9]  P. Zanardi,et al.  Fermionic entanglement in itinerant systems , 2002, quant-ph/0201028.

[10]  Daniel A. Lidar,et al.  Polynomial-time simulation of pairing models on a quantum computer. , 2001, Physical review letters.

[11]  P. Zanardi,et al.  Virtual quantum subsystems. , 2001, Physical review letters.

[12]  L. You,et al.  Quantum correlations in two-boson wave functions , 2001, quant-ph/0106117.

[13]  Daniel A. Lidar,et al.  Qubits as Parafermions , 2001, OFC 2001.

[14]  P. Zanardi Quantum entanglement in fermionic lattices , 2001, quant-ph/0104114.

[15]  G. Long,et al.  Entanglement in a two-identical-particle system , 2001, quant-ph/0104101.

[16]  J. Cirac,et al.  Quantum correlations in two-fermion systems , 2000, quant-ph/0012094.

[17]  J. Schliemann,et al.  Double-occupancy errors, adiabaticity, and entanglement of spin qubits in quantum dots , 2000, cond-mat/0009083.

[18]  Joseph H. Eberly,et al.  Measure of electron-electron correlation in atomic physics , 1994 .

[19]  H. Everett "Relative State" Formulation of Quantum Mechanics , 1957 .