dorsal/arxiv
View SchemaInfinite number of conditions for local mixed state manipulations
| Authors | Gilad Gour |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504095 |
| URL | https://arxiv.org/abs/quant-ph/0504095 |
| DOI | 10.1103/PhysRevA.72.022323 |
| Journal | Physical Review A 72, 022323 (2005) |
Abstract
It is shown that a finite number of conditions are {\em not} sufficient to determine the locality of transformations between two probability distributions of pure states as well as the locality of transformations between two $d\times d$ mixed states with $d\geq 4$. As an example, an infinite, but minimal, set of necessary and sufficient conditions for the existence of a local procedure that converts one probability distribution of two pure pair of qubits into another one is found.
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"abstract": "It is shown that a finite number of conditions are {\\em not} sufficient to\ndetermine the locality of transformations between two probability distributions\nof pure states as well as the locality of transformations between two $d\\times\nd$ mixed states with $d\\geq 4$. As an example, an infinite, but minimal, set of\nnecessary and sufficient conditions for the existence of a local procedure that\nconverts one probability distribution of two pure pair of qubits into another\none is found.",
"arxiv_id": "quant-ph/0504095",
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"doi": "10.1103/PhysRevA.72.022323",
"journal_ref": "Physical Review A 72, 022323 (2005)",
"title": "Infinite number of conditions for local mixed state manipulations",
"url": "https://arxiv.org/abs/quant-ph/0504095"
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