0003070v1

related topics
{let, theorem, proof}
{states, state, optimal}
{alice, bob, state}
{group, space, representation}
{information, entropy, channel}
{operator, operators, space}
{state, phys, rev}
{observables, space, algebra}
{equation, function, exp}
{state, states, entangled}
{field, particle, equation}

All Teleportation and Dense Coding Schemes

R. F. Werner

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.

oai_identifier:
oai:arXiv.org:quant-ph/0003070
categories:
quant-ph
comments:
21 pages, LaTeX
doi:
10.1088/0305-4470/34/35/332
arxiv_id:
quant-ph/0003070
created:
2000-03-17

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