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Bounds for the adiabatic approximation with applications to quantum computation

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arxiv quant-ph/0603175 v3 pith:JTODGH46 submitted 2006-03-20 quant-ph

Sabine Jansen , Mary-Beth Ruskai , Ruedi Seiler This is my paper · ORCID
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keywords adiabaticapproximationquantumanalyzedapplicationsapplyboundscomputation
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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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  1. Closest Accessible Symmetry reduction: a tool for Hamiltonian interpolation analysis

    quant-ph 2026-06 unverdicted novelty 6.0 of 10

    Introduces Closest Accessible Symmetry reduction to analyze spectra of Hamiltonian interpolations by projecting onto closest accessible symmetries, yielding weakly coupled sectors that capture quantum phase transition...

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