dorsal/arxiv
View SchemaNew classes of n-copy undistillable quantum states with negative partial transposition
| Authors | Somshubhro Bandyopadhyay, Vwani Roychowdhury |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302093 |
| URL | https://arxiv.org/abs/quant-ph/0302093 |
| DOI | 10.1103/PhysRevA.68.022319 |
| Journal | Phys. Rev. A 68, 022319 (2003) |
Abstract
The discovery of entangled quantum states from which one cannot distill pure entanglement constitutes a fundamental recent advance in the field of quantum information. Such bipartite bound-entangled (BE) quantum states \emph{could} fall into two distinct categories: (1) Inseparable states with positive partial transposition (PPT), and (2) States with negative partial transposition (NPT). While the existence of PPT BE states has been confirmed, \emph{only one} class of \emph{conjectured} NPT BE states has been discovered so far. We provide explicit constructions of a variety of multi-copy undistillable NPT states, and conjecture that they constitute families of NPT BE states. For example, we show that for every pure state of Schmidt rank greater than or equal to three, one can construct n-copy undistillable NPT states, for any $n\geq1$. The abundance of such conjectured NPT BE states, we believe, considerably strengthens the notion that being NPT is only a necessary condition for a state to be distillable.
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"abstract": "The discovery of entangled quantum states from which one cannot distill pure\nentanglement constitutes a fundamental recent advance in the field of quantum\ninformation. Such bipartite bound-entangled (BE) quantum states \\emph{could}\nfall into two distinct categories: (1) Inseparable states with positive partial\ntransposition (PPT), and (2) States with negative partial transposition (NPT).\nWhile the existence of PPT BE states has been confirmed, \\emph{only one} class\nof \\emph{conjectured} NPT BE states has been discovered so far. We provide\nexplicit constructions of a variety of multi-copy undistillable NPT states, and\nconjecture that they constitute families of NPT BE states. For example, we show\nthat for every pure state of Schmidt rank greater than or equal to three, one\ncan construct n-copy undistillable NPT states, for any $n\\geq1$. The abundance\nof such conjectured NPT BE states, we believe, considerably strengthens the\nnotion that being NPT is only a necessary condition for a state to be\ndistillable.",
"arxiv_id": "quant-ph/0302093",
"authors": [
"Somshubhro Bandyopadhyay",
"Vwani Roychowdhury"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.022319",
"journal_ref": "Phys. Rev. A 68, 022319 (2003)",
"title": "New classes of n-copy undistillable quantum states with negative partial transposition",
"url": "https://arxiv.org/abs/quant-ph/0302093"
},
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