Richard Jozsa, Benjamin Schumacher D'epartement IRO, Universit'e de...  Home/Search
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Abstract: We give an account of the quantum noiseless coding theorem, including a new proof based on a simplified block coding scheme. We also discuss an illustrative example of quantum coding. 1 Introduction Suppose that a quantum source produces a sequence of signals, each of which is a pure state from the list ja 1 i; : : : ; ja m i, occurring with a priori probabilities p 1 ; : : : ; pm and the states are assumed to lie in an n-dimensional Hilbert space H n . We may associate the density matrix... (Update)
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...to [17, Sec. 5. 2] the matrices n (u) should prove useful for the universal version of Schumacher data compression [7] 19] [30], 47] Schumacher s result [47] 30] must be considered as the quantum analogue of Shannon s noiseless coding theorem (see e.g. 60, Sec....
.... case (of independent components) the King Lesniewski result is optimal and consistent with the earlier result by Jozsa and Schumacher [12]. In the paper [7] Hiai and Petz, using a considerably stronger condition of complete ergodicity derived upper and lower bounds (in terms...
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schums1.tex; submitted to Phys. Rev. A 3/7/96.. - As Quantum Computation (Correct)
quant-ph/9603009 - Mar Schums Tex (Correct)
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BibTeX entry: (Update)
R. Jozsa and B. Schumacher, A new proof of the quantum noiseless coding theorem, J. Mod. Optics 41, 2343-2349 (1994). http://citeseer.ist.psu.edu/jozsa94new.html More
@article{ jozsa94new,
author = "R Jozsa and B Schumacher",
title = "A new proof of the quantum noiseless coding theorem",
journal = "J Modern Optics",
pages = "2343--2350",
year = "1994",
url = "citeseer.ist.psu.edu/jozsa94new.html" }
Citations (may not include all citations):63 Information Theory (context) - Ash - 1990
25 On Quantum Coding - Schumacher - 1993
22 Codes and Cryptography (context) - Welsh - 1989
14 Information Theory (context) - Cover, Thomas - 1991
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.theory.caltech.edu/~mnielsen/info/index.html): More
Quantum Data Processing and Error Correction - Benjamin Schumacher Nielsen (1996) (Correct)
Sending Entanglement through Noisy Quantum Channels - Schumacher (1996) (Correct)
Quantum Coding - Schumacher (1995) (Correct)
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