Probing nonlinear adiabatic paths with a universal integrator
Probing nonlinear adiabatic paths with a universal integrator
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DOI：
10.1103/physreva.89.032308
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发表时间：
2013-11
影响因子：
2.9
通讯作者：
Michael Hofmann;G. Schaller
中科院分区：
文献类型：
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作者：
Michael Hofmann;G. Schaller
我们应用一种灵活的数值积分器来模拟具有非线性路径的绝热量子计算。我们发现，与传统的直线内插相比，非线性路径可以显著提高绝热算法的性能。该积分器适用于求解任意量子位哈密顿量的含时薛定谔方程，与常用的稀疏矩阵方案相比，其灵活的存储格式大大降低了存储和矩阵-矢量乘法的成本。
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 Schr\"odinger 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.