A criterion for testing multi-particle NPT entanglement

dc.creatorZeng, B.
dc.creatorZhou, D. L.
dc.creatorZhang, P.
dc.creatorXu, Z.
dc.creatorYou, L.
dc.date2003-05-16
dc.date.accessioned2026-07-07T06:06:46Z
dc.date.available2026-07-07T06:06:46Z
dc.descriptionWe revisit the criterion of multi-particle entanglement based on the overlaps of a given quantum state $ρ$ with maximally entangled states. For a system of $m$ particles, each with $N$ distinct states, we prove that $ρ$ is $m$-particle negative partial transpose (NPT) entangled, if there exists a maximally entangled state $|{\rm MES}>$, such that $<{\rm MES}|ρ|{\rm MES}>>{1}/{N}$. While this sufficiency condition is weaker than the Peres-Horodecki criterion in all cases, it applies to multi-particle systems, and becomes especially useful when the number of particles ($m$) is large. We also consider the converse of this criterion and illustrate its invalidity with counter examples.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0305091
dc.identifierhttp://arxiv.org/abs/quant-ph/0305091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91095
dc.subjectQuantum Physics
dc.titleA criterion for testing multi-particle NPT entanglement
dc.typetext

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