0305005v1

related topics
{let, theorem, proof}
{states, state, optimal}
{observables, space, algebra}
{state, states, entangled}
{entanglement, phys, rev}

Entangled states with positive partial transpose arising from indecomposable positive linear maps

Kil-Chan Ha, Seung-Hyeok Kye, Young Sung Park

abstract: We construct entangled states with positive partial transposes using indecomposable positive linear maps between matrix algebras. We also exhibit concrete examples of entangled states with positive partial transposes arising in this way, and show that they generate extreme rays in the cone of all positive semi-definite matrices with positive partial transposes. They also have Schmidt numbers two.

oai_identifier:
oai:arXiv.org:quant-ph/0305005
categories:
quant-ph
comments:
16 pages
doi:
10.1016/S0375-9601(03)00733-3
arxiv_id:
quant-ph/0305005
journal_ref:
Physics Letters A, vol.313, no.3, pp.163-174 (2003)
created:
2003-05-01

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