Bounds for the adiabatic approximation with applications to quantum computation

2006/03/31 by Sabine Jansen, Mary-Beth Ruskai, Ruedi Seiler · 5 citations
Computer Science · Mathematics · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #quant-ph

paper · pdf · doi:10.1063/1.2798382

published as J. Math. Phys. 48, 102111 (2007) · 15 pages, one figure. Two comments added in Secs. 2 and 5

openalex publication_date 2007/10/01 · arxiv created 2007/11/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Quantal phase factors accompanying adiabatic changes
• Zur Quantentheorie der Molekeln
• Quantum Search by Local Adiabatic Evolution

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