dorsal/arxiv
View SchemaAll Teleportation and Dense Coding Schemes
| Authors | R. F. Werner |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0003070 |
| URL | https://arxiv.org/abs/quant-ph/0003070 |
| DOI | 10.1088/0305-4470/34/35/332 |
Abstract
We establish a one-to-one correspondence between (1) quantum teleportation schemes, (2) dense coding schemes, (3) orthonormal bases of maximally entangled vectors, (4) orthonormal bases of unitary operators with respect to the Hilbert-Schmidt scalar product, and (5) depolarizing operations, whose Kraus operators can be chosen to be unitary. The teleportation and dense coding schemes are assumed to be ``tight'' in the sense that all Hilbert spaces involved have the same finite dimension d, and the classical channel involved distinguishes d^2 signals. A general construction procedure for orthonormal bases of unitaries, involving Latin Squares and complex Hadamard Matrices is also presented.
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"abstract": "We establish a one-to-one correspondence between (1) quantum teleportation\nschemes, (2) dense coding schemes, (3) orthonormal bases of maximally entangled\nvectors, (4) orthonormal bases of unitary operators with respect to the\nHilbert-Schmidt scalar product, and (5) depolarizing operations, whose Kraus\noperators can be chosen to be unitary. The teleportation and dense coding\nschemes are assumed to be ``tight\u0027\u0027 in the sense that all Hilbert spaces\ninvolved have the same finite dimension d, and the classical channel involved\ndistinguishes d^2 signals. A general construction procedure for orthonormal\nbases of unitaries, involving Latin Squares and complex Hadamard Matrices is\nalso presented.",
"arxiv_id": "quant-ph/0003070",
"authors": [
"R. F. Werner"
],
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"quant-ph"
],
"doi": "10.1088/0305-4470/34/35/332",
"title": "All Teleportation and Dense Coding Schemes",
"url": "https://arxiv.org/abs/quant-ph/0003070"
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