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Improved Gap Estimates for Simulating Quantum Circuits by Adiabatic Evolution

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We use elementary variational arguments to prove, and improve on, gap estimates which arise in simulating quantum circuits by adiabatic evolution.

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, 251 Mercer St., New York, NY, 10012, USA

    Percy Deift

  2. Department of Mathematics, Tufts University, Medford, MA, 02155, USA

    Mary Beth Ruskai

  3. Department of Physics, International University of Bremen, Campus Ring 8, 28759, Bremen, Germany

    Wolfgang Spitzer

Authors
  1. Percy Deift
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  2. Mary Beth Ruskai
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  3. Wolfgang Spitzer
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Corresponding author

Correspondence to Mary Beth Ruskai.

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© by authors. Reproduction permitted for non-commercial purposes.

Partially supported by the National Science Foundation under Grant DMS-0296084 and DMS-0500923.

Partially supported by the National Science Foundation under Grant DMS-0314228 and by the National Security Agency and Advanced Research and Development Activity under Army Research Office contract number DAAD19-02-1-0065.

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Deift, P., Ruskai, M.B. & Spitzer, W. Improved Gap Estimates for Simulating Quantum Circuits by Adiabatic Evolution. Quantum Inf Process 6, 121–125 (2007). https://doi.org/10.1007/s11128-006-0045-y

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  • DOI: https://doi.org/10.1007/s11128-006-0045-y

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