Efficient computations of encodings for quantum error correction
- 1 July 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 56 (1) , 76-82
- https://doi.org/10.1103/physreva.56.76
Abstract
We show how, given any set of generators of the stabilizer of a quantum code, an efficient gate array that computes the code words can be explicitly constructed. For an -qubit code whose stabilizer has generators, the resulting gate array consists of operations, and converts -qubit data (where into -qubit code words.
Keywords
All Related Versions
This publication has 14 references indexed in Scilit:
- Quantum Error Correction and Orthogonal GeometryPhysical Review Letters, 1997
- Simple quantum error-correcting codesPhysical Review A, 1996
- 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
- Perfect Quantum Error Correcting CodePhysical Review Letters, 1996
- Scheme for reducing decoherence in quantum computer memoryPhysical Review A, 1995