dorsal/arxiv
View SchemaBures Measures over the Spaces of Two and Three-Dimensional Density Matrices
| Authors | Mark S. Byrd, Paul B. Slater |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0004055 |
| URL | https://arxiv.org/abs/quant-ph/0004055 |
| DOI | 10.1016/S0375-9601(01)00221-3 |
| Journal | Phys. Let. A 283, 3-4, (2001) 152-156. |
Abstract
Due to considerable recent interest in the use of density matrices for a wide variety of purposes, including quantum computation, we present a general method for their parameterizations in terms of Euler angles. We assert that this is of more fundamental importance than (as several people have remarked to us) ``just another parameterization of the density matrix.'' There are several uses to which this methodology can be put. One that has received particular attention is in the construction of certain distinguished (Bures) measures on the $(n^2 -1)$-dimensional convex sets of $n \times n$ density matrices.
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"abstract": "Due to considerable recent interest in the use of density matrices for a wide\nvariety of purposes, including quantum computation, we present a general method\nfor their parameterizations in terms of Euler angles. We assert that this is of\nmore fundamental importance than (as several people have remarked to us) ``just\nanother parameterization of the density matrix.\u0027\u0027 There are several uses to\nwhich this methodology can be put. One that has received particular attention\nis in the construction of certain distinguished (Bures) measures on the $(n^2\n-1)$-dimensional convex sets of $n \\times n$ density matrices.",
"arxiv_id": "quant-ph/0004055",
"authors": [
"Mark S. Byrd",
"Paul B. Slater"
],
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"quant-ph",
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"math.MP"
],
"doi": "10.1016/S0375-9601(01)00221-3",
"journal_ref": "Phys. Let. A 283, 3-4, (2001) 152-156.",
"title": "Bures Measures over the Spaces of Two and Three-Dimensional Density Matrices",
"url": "https://arxiv.org/abs/quant-ph/0004055"
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