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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 ... (Update)
Context of citations to this paper: More
...resources, which do not necessarily have a compact characterization. So in order to get a readable result, we only look at the tight case [29], in which resources are used in a sense optimally. By this we mean that all Hilbert spaces involved have the same finite but...
.... error bases: An algebraic construction due to Knill [9] which yields so called nice error bases, and a combinatorial construction due to Werner [14], which yields so called shift and multiply bases. Schlingemann and Werner posed the following problem [11] Is every nice error...
Cited by: More
Quantum Information Theory - an Invitation - Werner (2001) (Correct)
On the Monomiality of Nice Error Bases - Klappenecker, Rötteler (2003) (Correct)
Unitary Error Bases: Constructions, Equivalence, and.. - Klappenecker, Rötteler (Correct)
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BibTeX entry: (Update)
R.F. Werner: "All Teleportation and Dense Coding Schemes", quant-ph/0003070 http://citeseer.ist.psu.edu/werner00all.html More
@misc{ werner-all,
author = "R. Werner",
title = "All Teleportation and Dense Coding Schemes",
text = "R.F. Werner: All Teleportation and Dense Coding Schemes, quant-ph/0003070",
url = "citeseer.ist.psu.edu/werner00all.html" }
Citations (may not include all citations):59 Quantum theory of open systems (context) - Davies - 1976
55 Teleporting an unknown quantum state via dual classical and .. - Bennett, Brassard et al. - 1993
34 Communication via oneand two-particle operators on Einstein-.. (context) - Bennett, Wiesner - 1992
22 Latin Squares -- new developments in the theory and applicat.. (context) - D'enes, Keedwell - 1991
6 Longman Scientific and Technical (context) - Paulsen, maps - 1986
4 Group Representations, Error Bases and Quantum Codes - Knill
3 Why two qubits are special - Vollbrecht, Werner
2 Equivalence classes of inverse orthogonal and unit Hadamard .. (context) - Craigen - 1991
2 Latin Squares of Order 10 (context) - McKay, Rogoyski - 1995
2 Springer Lecture Notes in Mathematics (context) - Agaian, Matrices
1 Complex Hadamard matrices (context) - Wallis - 1973
1 Universal teleportation with a twist (context) - Braunstein, D'Ariano et al.
1 Latin Squares, a literature survey (context) - Ritter
Documents on the same site (http://www.imaph.tu-bs.de/qi/papers.html): More
On Some Additivity Problems in Quantum Information Theory - Amosov Holevo And (Correct)
The Classical Limit of Quantum Theory - Werner (1995) (Correct)
Quantum Information Theory - an Invitation - Werner (2001) (Correct)
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