All Teleportation and Dense Coding Schemes

Details All Teleportation and Dense Coding Schemes All Teleportation and Dense Coding Schemes

2000-03-17

arxiv.org/abs/quant-ph/0003070v1

Physics

Quantum Physics

21 pages, LaTeX

Scientific paper

10.1088/0305-4470/34/35/332

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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