Stability of quantum concatenated-code Hamiltonians

Dave Bacon
Phys. Rev. A 78, 042324 – Published 23 October 2008

Abstract

Protecting quantum information from the detrimental effects of decoherence and lack of precise quantum control is a central challenge that must be overcome if a large robust quantum computer is to be constructed. The traditional approach to achieving this is via active quantum error correction using fault-tolerant techniques. An alternative to this approach is to engineer strongly interacting many-body quantum systems that enact the quantum error correction via the natural dynamics of these systems. Here we present a method for achieving this based on the concept of concatenated quantum error correcting codes. We define a class of Hamiltonians whose ground states are concatenated quantum codes and whose energy landscape naturally causes quantum error correction. We analyze these Hamiltonians for robustness and suggest methods for implementing these highly unnatural Hamiltonians.

  • Figure
  • Received 1 July 2008

DOI:https://doi.org/10.1103/PhysRevA.78.042324

©2008 American Physical Society

Authors & Affiliations

Dave Bacon*

  • Department of Computer Science & Engineering and Department of Physics, University of Washington, Box 352350, Seattle, Washington 98195, USA*

  • *dabacon@cs.washington.edu

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Issue

Vol. 78, Iss. 4 — October 2008

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