论文标题
lanczos递归在Quantum计算机上用于绿色的功能和基态
Lanczos recursion on a quantum computer for the Green's function and ground state
论文作者
论文摘要
使用国家保存的量子计数算法用于从量子计算机上的单个基态波函数中获得兰开斯递归的系数。这用于计算相互作用的绿色功能的持续分数表示，以用于凝结物质，粒子物理和其他领域。波函数不需要在每次迭代时重新准备。量子算法代表了在已知经典方法上的记忆中的指数减少。还讨论了确定基态方法的扩展。
A state-preserving quantum counting algorithm is used to obtain coefficients of a Lanczos recursion from a single ground state wavefunction on the quantum computer. This is used to compute the continued fraction representation of an interacting Green's function for use in condensed matter, particle physics, and other areas. The wavefunction does not need to be re-prepared at each iteration. The quantum algorithm represents an exponential reduction in memory over known classical methods. An extension of the method to determining the ground state is also discussed.
