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All Teleportation and Dense Coding Schemes
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All Teleportation and Dense Coding Schemes
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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.
Forward citations
Cited by 3 Pith papers
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Uncountably many inequivalent maximally entangled measurements for two qutrits
There are uncountably many locally inequivalent maximally entangled measurement bases for two qutrits, constructed from qutrit SICs, including the first wild error bases in dimension 3.
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Three Quantum Latin Squares of Order 6 with Cardinalities 13, 15, and 17
Two explicit quantum Latin squares of order 6 are constructed with cardinalities 13 and 17 using direct-sum decompositions and Hadamard pairs.
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Three Quantum Latin Squares of Order 6 with Cardinalities 13, 15, and 17
Explicit constructions of three quantum Latin squares of order 6 achieving cardinalities 13, 15, and 17 via orthogonal decompositions and Hadamard pairs.
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