WIAS Preprint No. 1872, (2013)

Probing nonlinear adiabatic paths with a universal integrator


  • Hofmann, Michael
  • Schaller, Gernot

2008 Physics and Astronomy Classification Scheme

  • 03.67.Ac 75.10.Nr 75.10.Dg 02.60.-x


  • Quantum algorithms and protocols, Spin Hamiltonians, Numerical methods




We apply a flexible numerical integrator to the simulation of adiabatic quantum computation with nonlinear paths. We find that a nonlinear path may significantly improve the performance of adiabatic algorithms versus the conventional straight-line interpolations. The employed integrator is suitable for solving the time-dependent Schrödinger equation for any qubit Hamiltonian. Its flexible storage format significantly reduces cost for storage and matrix-vector multiplication in comparison to common sparse matrix schemes.

Appeared in

  • Phys. Rev. A, 89 (2014) pp. 032308/1--032308/8.

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