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Abstract: Quantum Error Correction will be necessary for preserving coherent states against noise and other unwanted interactions in quantum computation and communication. We develop a general theory of quantum error correction based on encoding states into larger Hilbert spaces subject to known interactions. We obtain necessary and sufficient conditions for the perfect recovery of an encoded state after its degradation by an interaction. The conditions depend only on the behavior of the logical states.... (Update)
Context of citations to this paper: More
...of e ort devising various schemes for stabilization of quantum information. These schemes include, e.g. quantum errorcorrecting codes [68], noiseless quantum codes [150] decoherence free subspaces [78] and noiseless subsystems [69] The last three of these schemes boil...
.... This is to be kept in mind, when we now describe the theory of quantum error correcting codes in the sense of Knill and La amme [10], which is very much based on a classi cation of errors according the place where they occur. For example, the coding decoding pair E; D...
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BibTeX entry: (Update)
E. Knill, R. Laflamme, A Theory of Quantum Error-Correcting Codes, (Online preprint quant-ph/960403), (1996). http://citeseer.ist.psu.edu/knill96theory.html More
@misc{ knill96theory,
author = "E. Knill and R. Laflamme",
title = "A Theory of Quantum Error-Correcting Codes",
text = "E. Knill, R. Laflamme, A Theory of Quantum Error-Correcting Codes, (Online
preprint quant-ph/960403), (1996).",
year = "1996",
url = "citeseer.ist.psu.edu/knill96theory.html" }
Citations (may not include all citations):168 Algorithms for Quantum Computation: Discrete Logarithms and .. - Shor - 1994
52 North-Holland Publishing Company (context) - MacWilliams, Sloane et al. - 1977
52 Good Quantum Error-Correcting Codes Exist - Calderbank, Shor - 1995
47 Mixed State Entanglement and Quantum Error Correction (context) - Bennett, DiVincenzo et al.
42 Multiple Particle Interference and Quantum Error Correction (context) - Steane - 1995
40 A Single Quantum Cannot be Cloned (context) - Wootters, Zurek - 1982
28 Scheme for Reducing Decoherence in Quantum Computer Memory (context) - Shor - 1995
25 Quantum Coding - Schumacher - 1995
24 Decoherence and the Transition from Quantum to Classical (context) - Zurek - 1991
23 Maintaining coherence in Quantum Computers (context) - Unruh - 1995
18 Measurement of Conditional Phase Shifts for Quantum Logic (context) - Turchette, Hood et al. - 1995
13 Is Quantum Mechanically Coherent Computation Useful (context) - Landauer - 1995
8 Perfect Quantum Error Correcting Code (context) - Laflamme, Miquel et al. - 1996
7 Quantum Data Processing and Error Correction - Nielsen, Schumacher - 1996
7 Quantum Error Correction for Communication - Ekert, Macchiavello - 1996
5 Quantum Cryptography (context) - Hughes, Alde et al. - 1995
4 Factoring and Decoherence (context) - Chuang, Laflamme et al. - 1995
3 The Persistent Qubit (context) - Chuang, Laflamme - 1996
3 Simple CavityQED Two-bit Universal Quantum Logic Gate: The P.. (context) - Domokos, Raimond et al. - 1995
1 Quantum Error Correction of dephasing in 3 qubits (context) - Braunstein
1 Bennet reported in the proceedings of the Army Research Offi.. (context) - by - 1995
1 Laflamme Quantum Error Correction by Coding (context) - Chuang
1 Error Prebention Scheme with Four Particles (context) - Vaidman, Goldenberg et al.
1 Demonstration of a Universal Quantum Logic Gate NIST preprin.. (context) - Monroe - 1995
1 Los Alamos National Laboratory preprint LA-UR (context) - example, of et al.
The graph only includes citing articles where the year of publication is known.
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