Howard Barnum, Carlton M. Caves, Christopher A. Fuchs, Richard Jozsa, B. W. Schumacher  Home/Search
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Abstract: We consider the problem of optimal asymptotically faithful compression for ensembles of mixed quantum states. Although the optimal rate is unknown, we prove upper and lower bounds and describe a series of illustrative examples of compression of mixed states. We also discuss a classical analogue of the problem. 1 Introduction The emergence of potentially useful theoretical protocols for using quantum states in cryptography and quantum computation has increased the theoretical (and perhaps... (Update)
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BibTeX entry: (Update)
@techreport{ barnum00quantum,
author = "H. Barnum and C. M. Caves and C. A. Fuchs and R. Jozsa and B. W. Schumacher",
title = "On quantum coding for ensembles of mixed states",
number = "CSTR-00-015",
year = "2000",
url = "citeseer.ist.psu.edu/article/barnum00quantum.html" }
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90 Quantum cryptography: Public-key distribution and coin-tossi.. (context) - Bennett, Brassard - 1985
25 Quantum coding - Schumacher - 1995
24 A new proof of the quantum noiseless coding theorem - Jozsa, Schumacher - 1994
20 Fidelity for mixed quantum states (context) - Jozsa - 1994
19 Quantum cryptography using any two nonorthogonal states (context) - Bennett - 1992
13 Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity .. (context) - Uhlmann - 1977
12 Classical information capacity of a quantum channel - Hausladen, Jozsa et al. - 1996
11 Information transmission through a noisy quantum channel (context) - Barnum, Nielsen et al. - 1998
10 transition probability (context) - Uhlmann - 1976
10 Sending classical information via noisy quantum channels (context) - Schumacher, Westmoreland - 1997
9 The capacity of quantum channel with general signal states - Holevo - 1998
8 Noncommuting mixed states cannot be broadcast (context) - Barnum, Caves et al. - 1996
7 On quantum fidelities and channel capacities - Barnum, Knill et al. - 2000
6 Convex trace functions and the Wigner-Yanase-Dyson conjectur.. (context) - Lieb - 1973
6 Quantum Information Theory - Nielsen - 1998
6 General fidelity limit for quantum channels (context) - Barnum, Fuchs et al. - 1996
6 Limits for compression of quantum information carried by ens.. (context) - Horodecki - 1998
5 Mathematical techniques for quantum communication theory (context) - Fuchs, Caves - 1995
4 An extension of Kakutani's theorem on infinite product measu.. (context) - Bures - 1969
4 Quantum coding theorem for mixed states (context) - Lo - 1995
3 Quantum data processing (context) - Ahlswede, Lober - 1999
3 Distinguishability of states and von Neumann entropy (context) - Jozsa, Schlienz - 2000
2 A note on the transition probability over C -algebras (context) - Alberti - 1983
2 Towards optimal compression for mixed signal states (context) - Horodecki - 1999
2 Entropy, information, and quantum measurements (context) - Lindblad - 1973
1 Quantum noiseless coding of mixed states (context) - Jozsa - 1994
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