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Abstract: We show how, given any set of generators of the stabilizer of a quantum code, an efficient gate array that computes the codewords can be constructed. For an n-qubit code whose stabilizer has d generators, the resulting gate array consists of O(nd) operations, and converts k-qubit data (where k = n \Gamma d) into n-qubit codewords. 02.70.Rw, 03.65.Bz, 89.80.+h Typeset using REVT E X cleve@cpsc.ucalgary.ca gottesma@theory.caltech.edu I. (Update)
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BibTeX entry: (Update)
@misc{ efficient-quantph,
author = "Calt- Quic- Efficient",
title = "quant-ph/9607030 31 Jul 1996",
url = "citeseer.ist.psu.edu/765316.html" }
Citations (may not include all citations):124 Elementary gates for quantum computation - Barenco, Bennett et al. - 1995
52 Good quantum error-correcting codes exist - Calderbank, Shor
47 Mixed state entanglement and quantum error correcting codes (context) - Bennett, DiVincenzo et al.
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
34 A class of quantum error-correcting codes saturating the qua.. (context) - Gottesman
19 Scheme for reducing decoherence in quantum memory (context) - Shor - 1995
15 Simple quantum error correcting codes (context) - Steane
12 Fault-tolerant error correction with efficient quantum codes (context) - DiVincenzo, Shor
11 Quantum error-correcting codes need not completely reveal th.. (context) - Shor, Smolin
9 Perfect quantum error correction code (context) - Laflamme, Miquel et al.
7 Error correction in quantum communication (context) - Ekert, Macchiavello
2 Perfect quantum error correction in 26 laser pulses (context) - Braunstein
2 private communication (context) - Beckman - 1996
2 Error prevention scheme with four particles (context) - Vaidman, Goldenberg et al.
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