Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits
We describe our recent results on the resonant perturbation theory of decoherence and relaxation for quantum systems with many qubits. The approach represents a rigorous analysis of the phenomenon of decoherence and relaxation for general N-level systems coupled to reservoirs of bosonic fields. We d...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2010/169710 |
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| author | M. Merkli G. P. Berman I. M. Sigal |
| author_facet | M. Merkli G. P. Berman I. M. Sigal |
| author_sort | M. Merkli |
| collection | DOAJ |
| description | We describe our recent results on the resonant perturbation theory of decoherence
and relaxation for quantum systems with many qubits. The approach
represents a rigorous analysis of the phenomenon of decoherence and relaxation
for general N-level systems coupled to reservoirs of bosonic fields. We derive
a representation of the reduced dynamics valid for all times t≥0 and for small
but fixed interaction strength. Our approach does not involve master equation
approximations and applies to a wide variety of systems which are not explicitly
solvable. |
| format | Article |
| id | doaj-art-100e88d58da54241ab0eb9e309b37908 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-100e88d58da54241ab0eb9e309b379082025-02-03T06:06:51ZengWileyAdvances in Mathematical Physics1687-91201687-91392010-01-01201010.1155/2010/169710169710Resonant Perturbation Theory of Decoherence and Relaxation of Quantum BitsM. Merkli0G. P. Berman1I. M. Sigal2Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NF, A1C 5S7, CanadaTheoretical Division, MS B213, Los Alamos National Laboratory, Los Alamos, NM 87545, USADepartment of Mathematics, University of Toronto, Toronto, ON, M5S2E4, CanadaWe describe our recent results on the resonant perturbation theory of decoherence and relaxation for quantum systems with many qubits. The approach represents a rigorous analysis of the phenomenon of decoherence and relaxation for general N-level systems coupled to reservoirs of bosonic fields. We derive a representation of the reduced dynamics valid for all times t≥0 and for small but fixed interaction strength. Our approach does not involve master equation approximations and applies to a wide variety of systems which are not explicitly solvable.http://dx.doi.org/10.1155/2010/169710 |
| spellingShingle | M. Merkli G. P. Berman I. M. Sigal Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits Advances in Mathematical Physics |
| title | Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits |
| title_full | Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits |
| title_fullStr | Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits |
| title_full_unstemmed | Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits |
| title_short | Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits |
| title_sort | resonant perturbation theory of decoherence and relaxation of quantum bits |
| url | http://dx.doi.org/10.1155/2010/169710 |
| work_keys_str_mv | AT mmerkli resonantperturbationtheoryofdecoherenceandrelaxationofquantumbits AT gpberman resonantperturbationtheoryofdecoherenceandrelaxationofquantumbits AT imsigal resonantperturbationtheoryofdecoherenceandrelaxationofquantumbits |