Peter Shor  Home/Search
Context Related
| att.com/~shor/papers/Qmacwilliams.ps Cached: PS.gz PS PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
Image Update HelpPS.gz PS PDF From: att.com/~shor/papers/ (more) (Enter author homepages) |
Rate this article:      (best)Comment on this article |
Abstract: We derive a relationship between two different notions of fidelity (entanglement fidelity and average fidelity) for a completely depolarizing quantum channel. This relationship gives rise to a quantum analog of the MacWilliams identities in classical coding theory. These identities relate the weight enumerator of a code to the one of its dual and, with linear programming techniques, provided a powerful tool to investigate the possible existence of codes. The same techniques can be adapted to... (Update)
Context of citations to this paper: More
.... 8) Similarly to classical codes one can introduce the weight enumerator B(x; y) P n i=0 B i x n Gammai y i of a quantum ( n; K) code [19]. By definition, B i : 1 K 2 X wt(E) i Tr 2 (EP ) 9) 5 Here P is the orthogonal projection on Q. Another weight enumerator...
Cited by: More
The Art of Signaling: Fifty Years of Coding Theory - Calderbank (1998) (Correct)
Quantum Computation - Aharonov (1998) (Correct)
Nonbinary Quantum Stabilizer Codes - Ashikhmin, Knill (2000) (Correct)
Active bibliography (related documents): More All
0.7: A Theory of Quantum Error-Correcting Codes - Knill, Laflamme (1996) (Correct)
0.5: Quantum Information Processing: Compression, Coding, and Related.. - Reif (1985) (Correct)
0.5: Alternative Computational Models: A Comparison of Biomolecular and .. - Reif (1998) (Correct)
System load high. Please wait...
Timeout. Please try your query later.
Similar documents based on text: More All
0.1: On the Hamming Weight Enumerators of Self-Dual Codes over Z k - Harada, Oura (1999) (Correct)
0.1: The MacWilliams Identity - Harold Ward Department (Correct)
0.1: Duality For Modules Over Finite Rings And Applications To Coding.. - Wood (1999) (Correct)
Related documents from co-citation: More All
7: A Theory of Quantum Error-Correcting Codes - Knill, Laflamme - 1996
7: A class of quantum error-correcting codes saturating the quantum hamming bound (context) - Gottesman - 1996
7: Quantum error correction and orthogonal geometry (context) - Calderbank, Rains et al.
BibTeX entry: (Update)
P. W. Shor and R. Laflamme, "Quantum analog of the MacWilliams identities in classical coding theory," Phys. Rev. Lett. 78, pp. 1600-1602 (1997); also LANL e-print quantph /9610040. http://citeseer.ist.psu.edu/shor97quantum.html More
@misc{ shor97quantum,
author = "P. Shor and R. Laflamme",
title = "Quantum analog of the MacWilliams identities in classical coding theory",
text = "P. W. Shor and R. Laflamme, Quantum analog of the MacWilliams identities
in classical coding theory, Phys. Rev. Lett. 78, pp. 1600-1602 (1997); also
LANL e-print quantph /9610040.",
year = "1997",
url = "citeseer.ist.psu.edu/shor97quantum.html" }
Citations (may not include all citations):52 North-Holland Publishing Company (context) - MacWilliams, Sloane et al. - 1977
47 Mixed state entanglement and quantum error correction (context) - Bennett, DiVincenzo et al. - 1996
42 Multiple particle interference and quantum error correction (context) - Steane
37 Quantum error correction and orthogonal geometry (context) - Calderbank, Rains et al.
36 A theory of quantum error correcting codes - Knill, Laflamme
35 Quantum error correction via codes over GF - Calderbank, Rains et al.
34 A class of quantum error-correcting codes saturating the qua.. (context) - Gottesman - 1996
23 Maintaining coherence in Quantum Computers (context) - Unruh - 1995
20 Error correcting codes in quantum theory (context) - Steane - 1996
15 Simple quantum error correcting codes (context) - Steane
13 Is Quantum Mechanically Coherent Computation Useful (context) - Landauer - 1995
12 The capacity of the noisy quantum channel (context) - Lloyd
8 Perfect Quantum Error Correcting Code (context) - Laflamme, Miquel et al. - 1996
7 Quantum Data Processing and Error Correction - Nielsen, Schumacher - 1996
4 private communication (context) - Rains
4 Factoring and Decoherence (context) - Chuang, Laflamme et al. - 1995
3 Quantum Reed-Muller Codes (context) - Steane
1 Welch IEEE Trans (context) - McEliece, Rodemich et al. - 1977
1 A Suominen and (context) - Palma - 1996
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.research.att.com/~shor/papers/): More
Elementary Gates for Quantum Computation - Barenco, Bennett, Cleve, Di.. (1995) (Correct)
Algorithms for Quantum Computation: Discrete Logarithms and.. - Shor (1994) (Correct)
Fault-Tolerant Quantum Computation - Shor (1996) (Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC