dorsal/arxiv
View SchemaComplete Separability and Fourier representations of n-qubit states
| Authors | Arthur O. Pittenger, Morton H. Rubin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9912116 |
| URL | https://arxiv.org/abs/quant-ph/9912116 |
| DOI | 10.1103/PhysRevA.62.042306 |
| Journal | Phys. Rev. A62, 042306 (2000). |
Abstract
Necessary conditions for separability are most easily expressed in the computational basis, while sufficient conditions are most conveniently expressed in the spin basis. We use the Hadamard matrix to define the relationship between these two bases and to emphasize its interpretation as a Fourier transform. We then prove a general sufficient condition for complete separability in terms of the spin coefficients and give necessary and sufficient conditions for the complete separability of a class of generalized Werner densities. As a further application of the theory, we give necessary and sufficient conditions for full separability for a particular set of $n$-qubit states whose densities all satisfy the Peres condition.
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"abstract": "Necessary conditions for separability are most easily expressed in the\ncomputational basis, while sufficient conditions are most conveniently\nexpressed in the spin basis. We use the Hadamard matrix to define the\nrelationship between these two bases and to emphasize its interpretation as a\nFourier transform. We then prove a general sufficient condition for complete\nseparability in terms of the spin coefficients and give necessary and\nsufficient conditions for the complete separability of a class of generalized\nWerner densities. As a further application of the theory, we give necessary and\nsufficient conditions for full separability for a particular set of $n$-qubit\nstates whose densities all satisfy the Peres condition.",
"arxiv_id": "quant-ph/9912116",
"authors": [
"Arthur O. Pittenger",
"Morton H. Rubin"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.62.042306",
"journal_ref": "Phys. Rev. A62, 042306 (2000).",
"title": "Complete Separability and Fourier representations of n-qubit states",
"url": "https://arxiv.org/abs/quant-ph/9912116"
},
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