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Abstract: Owing to the high sensitivity of quantum mechanical systems to even small perturbations, means of error protection are essential for any computation or communication process based on quantum mechanics. After a short introduction to quantum registers and operations as well as quantum channels, different approaches to the problem of protecting quantum information are presented. 1. INTRODUCTION The use of quantum mechanical systems opens new perspectives for both computation and communication... (Update)
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BibTeX entry: (Update)
@misc{ grassl-methods,
author = "Markus Grassl",
title = "Methods Of Quantum Error Correction",
url = "citeseer.ist.psu.edu/382682.html" }
Citations (may not include all citations):124 Elementary gates for quantum computation - Barenco, Bennett et al. - 1995
55 Teleporting an Unknown Quantum State via Dual Classical and .. - Bennett, Brassard et al. - 1993
47 Mixed State Entanglement and Quantum Error Correction (context) - Bennett, DiVincenzo et al. - 1996
45 Polynomial-Time Algorithms for Prime Factorization and Discr.. (context) - Shor - 1994
40 A single quantum cannot be cloned (context) - Wootters, Zurek - 1982
36 Theory of quantum error-correcting codes - Knill, Laflamme - 1997
34 Communication via one- and two-particle operators on Einstei.. (context) - Bennett, Wiesner - 1992
28 Scheme for reducing decoherence in quantum computer memory (context) - Shor - 1995
23 Purification of Noisy Entanglement and Faithful Teleportatio.. (context) - Bennett, Brassard et al. - 1996
13 Quantum Error Correction Via Codes over GF(4 (context) - Calderbank, Rains et al. - 1998
6 An Update on Quantum Cryptography (context) - Bennett, Brassard - 1984
6 Codes for the Quantum Erasure Channel (context) - Grassl, Beth et al. - 1997
4 DecoherenceFree Subspaces for Quantum Computation (context) - Lidar, Chuang et al. - 1998
3 Quantum Reed-Muller Codes (context) - Steane - 1999
2 Noiseless Quantum Codes (context) - Zanardi, Rasetti - 1997
1 Quantum BCH Codes (context) - Grassl, Beth - 1999
1 The Quantum Hamming and Hexacodes (context) - Beth, Grassl - 1998
1 Ideal Quantum Communication over Noisy Channels: A Quantum O.. (context) - van Enk, Cirac et al. - 1997
1 Relations between Classical and Quantum Error-Correcting Cod.. - Grassl, Beth - 1999
1 Cyclic Quantum ErrorCorrecting Codes and Quantum Shift Regis.. (context) - Grassl, Beth - 1999
1 Quantum Communication and Entanglement (context) - Weinfurter, Bouwmeester et al. - 2000
1 Quantum repeaters based on entanglement purification (context) - Dur, Briegel et al. - 1999
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