Theory of decoherence-free fault-tolerant universal quantum computation

Julia Kempe; D. Bacon; D. A. Lidar; K. B. Whaley

doi:10.1103/PhysRevA.63.042307

Theory of decoherence-free fault-tolerant universal quantum computation

Julia Kempe, D. Bacon, D. A. Lidar, K. B. Whaley

Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

The universal quantum computation on decoherence-free subspaces and subsystems (DFS) was studied using physically relevant interactions. Necessary and sufficient conditions were derived for the existence of decoherence-free subsystems in the Markovian regime. The dual role of DFS as quantum error correcting codes (QECC) was examined by developing a stablizer formalism for DFSs. QECC can correct small errors at the price of fast gates. Results showed that the single two body interaction (exchange) is sufficient to generate universal quantum computation fault-tolerantly.

Original language	English (US)
Article number	042307
Pages (from-to)	1-29
Number of pages	29
Journal	Physical Review A. Atomic, Molecular, and Optical Physics
Volume	63
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevA.63.042307
State	Published - Apr 1 2001

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
General Physics and Astronomy

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Theory of decoherence-free fault-tolerant universal quantum computation

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