Bounds for the adiabatic approximation with applications to quantum computation

  • Jansen S
  • Ruskai M
  • Seiler R
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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.

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  • Quantum Physics

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Authors

  • Sabine Jansen

  • Mary-Beth M.B. Ruskai

  • Ruedi Seiler

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