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Published on: November 11, 2013
Effects of symmetries on quantum fidelity decay
Yaakov S Weinstein1, C Stephen Hellberg
1Center for Computational Materials Science, Naval Research Laboratory, Washington, DC 20375, USA. weinstei@dave.nrl.army.mil
Abstract:
We explore the effect of a system's symmetries on fidelity decay behavior. Chaoslike exponential fidelity decay behavior occurs in nonchaotic 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 counterintuitive 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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