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