Eigenvalues, Peres' separability condition and entanglement

dc.creatorWang, An Min
dc.date2000-02-25
dc.date2000-09-12
dc.date.accessioned2026-07-07T05:59:39Z
dc.date.available2026-07-07T05:59:39Z
dc.descriptionThe general expression with the physical significance and positive definite condition of the eigenvalues of $4\times 4$ Hermitian and trace-one matrix are obtained. This implies that the eigenvalue problem of the $4\times 4$ density matrix is generally solved. The obvious expression of Peres' separability condition for an arbitrary state of two qubits is then given out and it is very easy to use. Furthermore, we discuss some applications to the calculation of the entanglement, the upper bound of the entanglement, and a model of the transfer of entanglement in a qubit chain through a noisy channel.
dc.description12 pages (Revtex); Revised Version; The example of transfer of entanglement is rewritten
dc.identifierhttps://arxiv.org/abs/quant-ph/0002073
dc.identifierhttp://arxiv.org/abs/quant-ph/0002073
dc.identifierComm. Theor. Phys. Vol.42, p206 (2004) [a little revision]
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88761
dc.subjectQuantum Physics
dc.titleEigenvalues, Peres' separability condition and entanglement
dc.typetext

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