Asymmetric quantum error correction via code conversion
- 26 June 2008
- journal article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 77 (6)
- https://doi.org/10.1103/physreva.77.062335
Abstract
In many physical systems it is expected that environmental decoherence will exhibit an asymmetry between dephasing and relaxation that may result in qubits experiencing discrete phase errors more frequently than discrete bit errors. In the presence of such an error asymmetry, an appropriately asymmetric quantum code - that is, a code that can correct more phase errors than bit errors - will be more efficient than a traditional, symmetric quantum code. Here we construct fault tolerant circuits to convert between an asymmetric subsystem code and a symmetric subsystem code. We show that, for a moderate error asymmetry, the failure rate of a logical circuit can be reduced by using a combined symmetric asymmetric system and that doing so does not preclude universality.Comment: 5 pages, 8 figures, presentation revised, figures and references addeKeywords
Other Versions
This publication has 10 references indexed in Scilit:
- Subsystem Fault Tolerance with the Bacon-Shor CodePhysical Review Letters, 2007
- Asymmetric quantum error-correcting codesPhysical Review A, 2007
- Effective Fault-Tolerant Quantum Computation with Slow MeasurementsPhysical Review Letters, 2007
- Operator quantum error-correcting subsystems for self-correcting quantum memoriesPhysical Review A, 2006
- Stabilizer Formalism for Operator Quantum Error CorrectionPhysical Review Letters, 2005
- Quantum Noise in the Josephson Charge QubitPhysical Review Letters, 2004
- Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonanceNature, 2001
- Concatenated coding in the presence of dephasingPhysical Review A, 2000
- Active Stabilization, Quantum Computation, and Quantum State SynthesisPhysical Review Letters, 1997
- Scheme for reducing decoherence in quantum computer memoryPhysical Review A, 1995