dorsal/arxiv
View SchemaThe Effects of Symmetries on Quantum Fidelity Decay
| Authors | Yaakov S. Weinstein, C. Stephen Hellberg |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0502012 |
| URL | https://arxiv.org/abs/quant-ph/0502012 |
| DOI | 10.1103/PhysRevE.71.035203 |
| Journal | Phys. Rev. E 71, 035203(R), 2005 |
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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"abstract": "We explore the effect of a system\u0027s symmetries on fidelity decay behavior.\nChaos-like exponential fidelity decay behavior occurs in non-chaotic systems\nwhen the system possesses symmetries and the applied perturbation is not tied\nto a classical parameter. Similar systems without symmetries exhibit\nfaster-than-exponential decay under the same type of perturbation. This\ncounter-intuitive result, that extra symmetries cause the system to behave in a\nchaotic fashion, may have important ramifications for quantum error correction.",
"arxiv_id": "quant-ph/0502012",
"authors": [
"Yaakov S. Weinstein",
"C. Stephen Hellberg"
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"doi": "10.1103/PhysRevE.71.035203",
"journal_ref": "Phys. Rev. E 71, 035203(R), 2005",
"title": "The Effects of Symmetries on Quantum Fidelity Decay",
"url": "https://arxiv.org/abs/quant-ph/0502012"
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