Perturbation Theory for Quantum Computation with Large Number of Qubits

We describe a new and consistent perturbation theory for solid-state quantum computation with many qubits. The errors in the implementation of simple quantum logic operations caused by non-resonant transitions are estimated. We verify our perturbation approach using exact numerical solution for rela...

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Bibliographic Details
Published in:arXiv.org 2001-04
Main Authors: Berman, G P, Doolen, G D, Kamenev, D I, Tsifrinovich, V I
Format: Article
Language:English
Subjects:
Computation
Computer simulation
Perturbation methods
Perturbation theory
Quantum computers
Quantum computing
Quantum phenomena
Quantum theory
Qubits (quantum computing)
Solid state
Online Access:Get full text
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Summary:We describe a new and consistent perturbation theory for solid-state quantum computation with many qubits. The errors in the implementation of simple quantum logic operations caused by non-resonant transitions are estimated. We verify our perturbation approach using exact numerical solution for relatively small (L=10) number of qubits. A preferred range of parameters is found in which the errors in processing quantum information are small. Our results are needed for experimental testing of scalable solid-state quantum computers.
ISSN:2331-8422
DOI:10.48550/arxiv.0104025