dorsal/arxiv
View SchemaEmergence of Fermi-Dirac Thermalization in the Quantum Computer Core
| Authors | Giuliano Benenti, Giulio Casati, Dima L. Shepelyansky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009084 |
| URL | https://arxiv.org/abs/quant-ph/0009084 |
| DOI | 10.1007/s100530170031 |
| Journal | Eur. Phys. J. D 17, 265 (2001) |
Abstract
We model an isolated quantum computer as a two-dimensional lattice of qubits (spin halves) with fluctuations in individual qubit energies and residual short-range inter-qubit couplings. In the limit when fluctuations and couplings are small compared to the one-qubit energy spacing, the spectrum has a band structure and we study the quantum computer core (central band) with the highest density of states. Above a critical inter-qubit coupling strength, quantum chaos sets in, leading to quantum ergodicity of eigenstates in an isolated quantum computer. The onset of chaos results in the interaction induced dynamical thermalization and the occupation numbers well described by the Fermi-Dirac distribution. This thermalization destroys the noninteracting qubit structure and sets serious requirements for the quantum computer operability.
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"abstract": "We model an isolated quantum computer as a two-dimensional lattice of qubits\n(spin halves) with fluctuations in individual qubit energies and residual\nshort-range inter-qubit couplings. In the limit when fluctuations and couplings\nare small compared to the one-qubit energy spacing, the spectrum has a band\nstructure and we study the quantum computer core (central band) with the\nhighest density of states. Above a critical inter-qubit coupling strength,\nquantum chaos sets in, leading to quantum ergodicity of eigenstates in an\nisolated quantum computer. The onset of chaos results in the interaction\ninduced dynamical thermalization and the occupation numbers well described by\nthe Fermi-Dirac distribution. This thermalization destroys the noninteracting\nqubit structure and sets serious requirements for the quantum computer\noperability.",
"arxiv_id": "quant-ph/0009084",
"authors": [
"Giuliano Benenti",
"Giulio Casati",
"Dima L. Shepelyansky"
],
"categories": [
"quant-ph",
"cond-mat",
"nlin.CD"
],
"doi": "10.1007/s100530170031",
"journal_ref": "Eur. Phys. J. D 17, 265 (2001)",
"title": "Emergence of Fermi-Dirac Thermalization in the Quantum Computer Core",
"url": "https://arxiv.org/abs/quant-ph/0009084"
},
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