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Physical Review A

Detecting quantum entanglement by means of local operations and classical communication

Yan-Kui Bai, Shu‐Shen Li, Houzhi Zheng

Published May 7, 2004• 9 citations
Publisher

Abstract

Based on the positive maps separability criterion, we present a method for the detection of quantum entanglement of a shared bipartite quantum state, within the ``distant labs'' paradigm, using only local operations and classical communication.
DOI
10.1103/physreva.69.052305

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We present a method for checking the Peres separability criterion in an arbitrary bipartite quantum state ${\ensuremath{\rho}}_{\mathrm{AB}}$ within local operations and classical communication scenario. The method does not require noise operation which is needed in making the partial transposition map physically implementable. The main task for the two observers, Alice and Bob, is to measure some specific functions of the partial transposed matrix. With these functions, they can determine the eigenvalues of ${\ensuremath{\rho}}_{\mathrm{AB}}^{{T}_{\mathrm{B}}}$, among which the minimum serves as an entanglement witness.