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The Effects of Symmetries on Quantum Fidelity Decay

Yaakov S. Weinstein·C. Stephen Hellberg
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Abstract

We explore the effect of a system's symmetries on fidelity decay behavior. Chaos-like exponential fidelity decay behavior occurs in non-chaotic systems when the system possesses symmetries and the applied perturbation is not tied to a classical parameter. Similar systems without symmetries exhibit faster-than-exponential decay under the same type of perturbation. This counter-intuitive result, that extra symmetries cause the system to behave in a chaotic fashion, may have important ramifications for quantum error correction.

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Yaakov S. Weinstein, C. Stephen Hellberg. 2005-02-01. The Effects of Symmetries on Quantum Fidelity Decay. https://doi.org/10.1103/physreve.71.035203

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