dorsal/arxiv
View SchemaQuantum chaos algorithms and dissipative decoherence with quantum trajectories
| Authors | Jae Weon Lee, Dima L. Shepelyansky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0501120 |
| URL | https://arxiv.org/abs/quant-ph/0501120 |
| DOI | 10.1103/PhysRevE.71.056202 |
| Journal | Phys. Rev. E v.71, p.056202 (2005) |
Abstract
Using the methods of quantum trajectories we investigate the effects of dissipative decoherence in a quantum computer algorithm simulating dynamics in various regimes of quantum chaos including dynamical localization, quantum ergodic regime and quasi-integrable motion. As an example we use the quantum sawtooth algorithm which can be implemented in a polynomial number of quantum gates. It is shown that the fidelity of quantum computation decays exponentially with time and that the decay rate is proportional to the number of qubits, number of quantum gates and per gate dissipation rate induced by external decoherence. In the limit of strong dissipation the quantum algorithm generates a quantum attractor which may have complex or simple structure. We also compare the effects of dissipative decoherence with the effects of static imperfections.
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"abstract": "Using the methods of quantum trajectories we investigate the effects of\ndissipative decoherence in a quantum computer algorithm simulating dynamics in\nvarious regimes of quantum chaos including dynamical localization, quantum\nergodic regime and quasi-integrable motion.\n As an example we use the quantum sawtooth algorithm which can be implemented\nin a polynomial number of quantum gates.\n It is shown that the fidelity of quantum computation decays exponentially\nwith time and that the decay rate is proportional to the number of qubits,\nnumber of quantum gates and per gate dissipation rate induced by external\ndecoherence.\n In the limit of strong dissipation the quantum algorithm generates a quantum\nattractor which may have complex or simple structure.\n We also compare the effects of dissipative decoherence with the effects of\nstatic imperfections.",
"arxiv_id": "quant-ph/0501120",
"authors": [
"Jae Weon Lee",
"Dima L. Shepelyansky"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevE.71.056202",
"journal_ref": "Phys. Rev. E v.71, p.056202 (2005)",
"title": "Quantum chaos algorithms and dissipative decoherence with quantum trajectories",
"url": "https://arxiv.org/abs/quant-ph/0501120"
},
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