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The unreasonable effectiveness of quantum computing is founded on coherent quantum superposition or entanglement which allows a large number of calculations to be performed simultaneously. This coherence is lost as a quantum system interacts with its environment. In the present paper the problem of finding quantum-error-correcting codes is transformed into one of finding additive codes over the field GF(4) which are self-orthogonal with respect to a certain trace inner product. Many new codes and new bounds are presented, as well as a table of upper and lower bounds on such codes of length up to 30 qubits
Published in:
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Date of Conference: 29 Jun-4 Jul 1997
- Meeting Date :
- 29 Jun 1997-04 Jul 1997
- Print ISBN:
- 0-7803-3956-8
- INSPEC Accession Number:
- 5842063
- Conference Location :
- Ulm
- Digital Object Identifier :
- 10.1109/ISIT.1997.613213
- Product Type:
- Conference Publications
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