Quantum Error Correction and Orthogonal Geometry
- 20 January 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 78 (3), 405-408
- https://doi.org/10.1103/physrevlett.78.405
Abstract
A group theoretic framework is introduced that simplifies the description of known quantum error-correcting codes and greatly facilitates the construction of new examples. Codes are given which map 3 qubits to 8 qubits correcting 1 error, 4 to 10 qubits correcting 1 error, 1 to 13 qubits correcting 2 errors, and 1 to 29 qubits correcting 5 errors.Keywords
All Related Versions
This publication has 11 references indexed in Scilit:
- Multiple-particle interference and quantum error correctionProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1996
- Mixed-state entanglement and quantum error correctionPhysical Review A, 1996
- Quantum Error Correction for CommunicationPhysical Review Letters, 1996
- Class of quantum error-correcting codes saturating the quantum Hamming boundPhysical Review A, 1996
- Error prevention scheme with four particlesPhysical Review A, 1996
- Good quantum error-correcting codes existPhysical Review A, 1996
- Error Correcting Codes in Quantum TheoryPhysical Review Letters, 1996
- Perfect Quantum Error Correcting CodePhysical Review Letters, 1996
- Purification of Noisy Entanglement and Faithful Teleportation via Noisy ChannelsPhysical Review Letters, 1996
- Scheme for reducing decoherence in quantum computer memoryPhysical Review A, 1995