NPT Bound Entanglement- The Problem Revisited

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dc.creatorChattopadhyay, Indrani
dc.creatorSarkar, Debasis
dc.date2006-09-06
dc.date2006-09-18
dc.date.accessioned2026-07-07T07:26:36Z
dc.date.available2026-07-07T07:26:36Z
dc.descriptionRecently [quant-ph/0608250] again created a lot of interest to prove the existence of bound entangled states with negative partial transpose (NPT) in any $d \times d (d \geq 3)$ Hilbert space. However the proof in quant-ph/0608250 is not complete but it shows some interesting properties of the Schmidt rank two states. In this work we are trying to probe the problem in a different angle considering the work by Dür et.al [Phys. Rev. A, 61, 062313(2000)]. We have assumed that the Schmidt rank two states should satisfy some bounds. Under some assumptions with these bounds one could prove the existence of NPT bound entangled states. We particularly discuss the case of two copy undistillability of the conjectured family of NPT states. Obviously the class of NPT bound entangled states belong to the class of conjectured to be bound entangled states by Divincenzo et.al [Phys. Rev. A, 61, 062312(2000)] and by Dür et.al [Phys. Rev. A, 61, 062313(2000)]. However the problem of existence of NPT bound entangled states still remain open.
dc.description9 pagex, latex format, extended version, new materials added, comments and criticisms welcome
dc.identifierhttps://arxiv.org/abs/quant-ph/0609050
dc.identifierhttp://arxiv.org/abs/quant-ph/0609050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117136
dc.subjectQuantum Physics
dc.titleNPT Bound Entanglement- The Problem Revisited
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