Bounds for the adiabatic approximation with applications to quantum computation

We present straightforward proofs of estimates used in the adiabatic approximation. The gap dependence is analyzed explicitly. We apply the result to interpolating Hamiltonians of interest in quantum computing.

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Bibliographic Details
Published in:Journal of mathematical physics 2007-10, Vol.48 (10), p.102111-102111-15
Main Authors: Jansen, Sabine, Ruskai, Mary-Beth, Seiler, Ruedi
Format: Article
Language:English
Subjects:
ADIABATIC APPROXIMATION
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Exact sciences and technology
HAMILTONIANS
INFORMATION THEORY
Mathematical methods in physics
Mathematics
Physics
QUANTUM COMPUTERS
QUANTUM MECHANICS
Quantum theory
Sciences and techniques of general use
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Description
Summary:We present straightforward proofs of estimates used in the adiabatic approximation. The gap dependence is analyzed explicitly. We apply the result to interpolating Hamiltonians of interest in quantum computing.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.2798382