dorsal/arxiv
View SchemaPeres-Horodecki separability criterion for continuous variable systems
| Authors | R. Simon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9909044 |
| URL | https://arxiv.org/abs/quant-ph/9909044 |
| DOI | 10.1103/PhysRevLett.84.2726 |
Abstract
The Peres-Horodecki criterion of positivity under partial transpose is studied in the context of separability of bipartite continuous variable states. The partial transpose operation admits, in the continuous case, a geometric interpretation as mirror reflection in phase space. This recognition leads to uncertainty principles, stronger than the traditional ones, to be obeyed by all separable states. For all bipartite Gaussian states, the Peres-Horodecki criterion turns out to be necessary and sufficient condition for separability.
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"abstract": "The Peres-Horodecki criterion of positivity under partial transpose is\nstudied in the context of separability of bipartite continuous variable states.\nThe partial transpose operation admits, in the continuous case, a geometric\ninterpretation as mirror reflection in phase space. This recognition leads to\nuncertainty principles, stronger than the traditional ones, to be obeyed by all\nseparable states. For all bipartite Gaussian states, the Peres-Horodecki\ncriterion turns out to be necessary and sufficient condition for separability.",
"arxiv_id": "quant-ph/9909044",
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"doi": "10.1103/PhysRevLett.84.2726",
"title": "Peres-Horodecki separability criterion for continuous variable systems",
"url": "https://arxiv.org/abs/quant-ph/9909044"
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