Decoherence-Free Subspaces for Multiple-Qubit Errors: (II) Universal, Fault-Tolerant Quantum Computation
Quantum Physics
2016-09-08 v1
Abstract
Decoherence-free subspaces (DFSs) shield quantum information from errors induced by the interaction with an uncontrollable environment. Here we study a model of correlated errors forming an Abelian subgroup (stabilizer) of the Pauli group (the group of tensor products of Pauli matrices). Unlike previous studies of DFSs, this type of errors does not involve any spatial symmetry assumptions on the system-environment interaction. We solve the problem of universal, fault-tolerant quantum computation on the associated class of DFSs.
Keywords
Cite
@article{arxiv.quant-ph/0007013,
title = {Decoherence-Free Subspaces for Multiple-Qubit Errors: (II) Universal, Fault-Tolerant Quantum Computation},
author = {Daniel A. Lidar and Dave Bacon and Julia Kempe and K. B. Whaley},
journal= {arXiv preprint arXiv:quant-ph/0007013},
year = {2016}
}
Comments
22 pages, 4 figures. Sequel to quant-ph/9908064