Framework for classifying logical operators in stabilizer codes
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Yoshida-2010-Framework for classi.pdf
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Author(s)
Yoshida, Beni
Chuang, Isaac L.
Date Issued
May 2010
Journal
Physical Review A
Publisher
American Physical Society
Citation
Yoshida, Beni, and Isaac L. Chuang. "Framework for classifying logical operators in stabilizer codes." Physical Review A 81.5 (2010): 052302. © 2010 The American Physical Society
Version
Final published version
Abstract
Entanglement, as studied in quantum information science, and nonlocal quantum correlations, as studied in condensed matter physics, are fundamentally akin to each other. However, their relationship is often hard to quantify due to the lack of a general approach to study both on the same footing. In particular, while entanglement and nonlocal correlations are properties of states, both arise from symmetries of global operators that commute with the system Hamiltonian. Here, we introduce a framework for completely classifying the local and nonlocal properties of all such global operators, given the Hamiltonian and a bipartitioning of the system. This framework is limited to descriptions based on stabilizer quantum codes, but may be generalized. We illustrate the use of this framework to study entanglement and nonlocal correlations by analyzing global symmetries in topological order, distribution of entanglement, and entanglement entropy.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.81.052302
