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Title: Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits

Abstract

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.

Authors:
 [1];  [2];  [3]
  1. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NF, Canada A1C 5S7
  2. Theoretical Division, MS B213, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
  3. Department of Mathematics, University of Toronto, Toronto, ON, M5S2E4, Canada
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1198436
Grant/Contract Number:  
AC52-06NA25396; AC52-07NA27344
Resource Type:
Published Article
Journal Name:
Advances in Mathematical Physics
Additional Journal Information:
Journal Name: Advances in Mathematical Physics Journal Volume: 2010; Journal ID: ISSN 1687-9120
Publisher:
Hindawi Publishing Corporation
Country of Publication:
Country unknown/Code not available
Language:
English

Citation Formats

Merkli, M., Berman, G. P., and Sigal, I. M. Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits. Country unknown/Code not available: N. p., 2010. Web. doi:10.1155/2010/169710.
Merkli, M., Berman, G. P., & Sigal, I. M. Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits. Country unknown/Code not available. doi:10.1155/2010/169710.
Merkli, M., Berman, G. P., and Sigal, I. M. Fri . "Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits". Country unknown/Code not available. doi:10.1155/2010/169710.
@article{osti_1198436,
title = {Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits},
author = {Merkli, M. and Berman, G. P. and Sigal, I. M.},
abstractNote = {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.},
doi = {10.1155/2010/169710},
journal = {Advances in Mathematical Physics},
number = ,
volume = 2010,
place = {Country unknown/Code not available},
year = {2010},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1155/2010/169710

Citation Metrics:
Cited by: 2 works
Citation information provided by
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