Automated searching for quantum subsystem codes

Crosswhite, Gregory M. and Bacon, Dave (2011) Automated searching for quantum subsystem codes. Physical Review A, 83 2: . doi:10.1103/PhysRevA.83.022307

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Author Crosswhite, Gregory M.
Bacon, Dave
Title Automated searching for quantum subsystem codes
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2011-02
Year available 2011
Sub-type Article (original research)
DOI 10.1103/PhysRevA.83.022307
Open Access Status File (Publisher version)
Volume 83
Issue 2
Total pages 27
Place of publication College Park, MD United States
Publisher American Physical Society
Collection year 2011
Language eng
Formatted abstract
 Quantum error correction allows for faulty quantum systems to behave in an effectively error-free manner.  One important class of techniques for quantum error correction is the class of quantum subsystem codes, which are relevant both to active quantum error-correcting schemes as well as to the design of self-correcting quantum memories. Previous approaches for investigating these codes have focused on applying theoretical analysis to look for interesting codes and to investigate their properties. In this paper we present an alternative approach that uses computational analysis to accomplish the same goals. Specifically, we present an algorithm that computes the optimal quantum subsystem code that can be implemented given an arbitrary set of measurement operators that are tensor products of Pauli operators. We then demonstrate the utility of this algorithm by performing a systematic investigation of the quantum subsystem codes that exist in the setting where the interactions are limited to two-body interactions between neighbors on lattices derived from the convex uniform tilings of the
Keyword Error-Correction
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 1 times in Thomson Reuters Web of Science Article | Citations
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