dorsal/arxiv
View SchemaOn Symmetric Sets of Projectors for Reconstruction of a Density Matrix
| Authors | Alexander Yu. Vlasov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302064 |
| URL | https://arxiv.org/abs/quant-ph/0302064 |
Abstract
In this work are presented sets of projectors for reconstruction of a density matrix for an arbitrary mixed state of a quantum system with the finite-dimensional Hilbert space. It was discussed earlier [quant-ph/0104126] a construction with (2n-1)n projectors for the dimension n. For n=2 it is a set with six projectors associated with eigenvectors of three Pauli matrices, but for n>2 the construction produces not such a `regular' set. In this paper are revisited some results of previous work [quant-ph/0104126] and discussed another, more symmetric construction with the Weyl matrix pair (as the generalization of Pauli matrices). In the particular case of prime n it is the mutually unbiased set with (n+1)n projectors. In appendix is shown an example of application of complete sets for discussions about separability and random robustness.
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"abstract": "In this work are presented sets of projectors for reconstruction of a density\nmatrix for an arbitrary mixed state of a quantum system with the\nfinite-dimensional Hilbert space. It was discussed earlier [quant-ph/0104126] a\nconstruction with (2n-1)n projectors for the dimension n. For n=2 it is a set\nwith six projectors associated with eigenvectors of three Pauli matrices, but\nfor n\u003e2 the construction produces not such a `regular\u0027 set. In this paper are\nrevisited some results of previous work [quant-ph/0104126] and discussed\nanother, more symmetric construction with the Weyl matrix pair (as the\ngeneralization of Pauli matrices). In the particular case of prime n it is the\nmutually unbiased set with (n+1)n projectors. In appendix is shown an example\nof application of complete sets for discussions about separability and random\nrobustness.",
"arxiv_id": "quant-ph/0302064",
"authors": [
"Alexander Yu. Vlasov"
],
"categories": [
"quant-ph"
],
"title": "On Symmetric Sets of Projectors for Reconstruction of a Density Matrix",
"url": "https://arxiv.org/abs/quant-ph/0302064"
},
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