dorsal/arxiv
View SchemaCan spectral and local information decide separability?
| Authors | Karl G. H. Vollbrecht, Michael M. Wolf |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0107014 |
| URL | https://arxiv.org/abs/quant-ph/0107014 |
Abstract
We discuss the discriminating power of separability criteria, which are based on the spectrum of a quantum state and its reductions. Common examples are entropic inequalities utilizing conditional Tsallis or Renyi entropies. We prove that these inequalities are implied by the reduction criterion for any positive value of the entropic parameters. We show however, that arbitrary sets of criteria based on spectral and local information can never be sufficient by establishing a separable, isospectral and locally undistinguishable counterpart for any Werner state in odd dimensions. For the case of two qubit systems we show that a simple controlled phase gate operation can produce an isospectral, entangled state out of a separable one, which has the same reductions.
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"abstract": "We discuss the discriminating power of separability criteria, which are based\non the spectrum of a quantum state and its reductions. Common examples are\nentropic inequalities utilizing conditional Tsallis or Renyi entropies. We\nprove that these inequalities are implied by the reduction criterion for any\npositive value of the entropic parameters. We show however, that arbitrary sets\nof criteria based on spectral and local information can never be sufficient by\nestablishing a separable, isospectral and locally undistinguishable counterpart\nfor any Werner state in odd dimensions. For the case of two qubit systems we\nshow that a simple controlled phase gate operation can produce an isospectral,\nentangled state out of a separable one, which has the same reductions.",
"arxiv_id": "quant-ph/0107014",
"authors": [
"Karl G. H. Vollbrecht",
"Michael M. Wolf"
],
"categories": [
"quant-ph"
],
"title": "Can spectral and local information decide separability?",
"url": "https://arxiv.org/abs/quant-ph/0107014"
},
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