Universal simulation of Markovian quantum dynamics

Dave Bacon, Andrew M. Childs, Isaac L. Chuang, Julia Kempe, Debbie W. Leung, Xinlan Zhou

Research output: Contribution to journalArticle

Abstract

In search for a way to simulate the dynamics of open quantum systems using a simple set of primitives, a framework was set up to study the notion of universality for Markovian quantum dynamics. It was shown how the generators of Markovian semigroups transform under the composition procedures of linear combination unitary conjugation. For the case of a single qubit, it was illustrated that one primitive unital operation suffices to simulate all other unital operations. A sufficient and necessary single-parameter universal set for general qubit Markovian quantum dynamics was derived.

Original languageEnglish (US)
Article number062302
Pages (from-to)62302/1-62302/8
JournalPhysical Review A. Atomic, Molecular, and Optical Physics
Volume64
Issue number6
DOIs
StatePublished - Dec 2001
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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    Bacon, D., Childs, A. M., Chuang, I. L., Kempe, J., Leung, D. W., & Zhou, X. (2001). Universal simulation of Markovian quantum dynamics. Physical Review A. Atomic, Molecular, and Optical Physics, 64(6), 62302/1-62302/8. [062302]. https://doi.org/10.1103/PhysRevA.64.062302