0412220v2

related topics
{state, states, entangled}
{states, state, optimal}
{entanglement, phys, rev}
{bell, inequality, local}
{observables, space, algebra}
{measurement, state, measurements}

Entanglement Detection by Local Orthogonal Observables

Sixia Yu, Nai-le Liu

abstract: We propose a family of entanglement witnesses and corresponding positive maps that are not completely positive based on local orthogonal observables. As applications the entanglement witness of the $3\times 3$ bound entangled state [P. Horodecki, Phys. Lett. A {\bf 232}, 333 (1997)] is explicitly constructed and a family of $d$-dimensional bound entangled states is designed so that the entanglement can be detected by permuting local orthogonal observables. Further the proposed physically not implementable positive maps can be physically realized by measuring a Hermitian correlation matrix of local orthogonal observables.

oai_identifier:
oai:arXiv.org:quant-ph/0412220
categories:
quant-ph
comments:
4 pages, 1 figure
doi:
10.1103/PhysRevLett.95.150504
arxiv_id:
quant-ph/0412220
created:
2004-12-31
updated:
2005-01-06

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