The Stability of Quantum Concatenated Code Hamiltonians

Details The Stability of Quantum Concatenated Code Hamiltonians The Stability of Quantum Concatenated Code Hamiltonians

2008-06-12

arxiv.org/abs/0806.2160v2

Physics

Quantum Physics

18 pages, small corrections and clarifications

Scientific paper

10.1103/PhysRevA.78.042324

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.

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