标题： 物理系统的本征态的量子算法 显示英文标题

标题： Quantum algorithm for obtaining the eigenstates of a physical system

摘要： 我们提出了一种量子算法，用于解决以下问题：给定一个物理系统的哈密顿量及其一个本征值，如何获得相应的本征态？该算法基于共振现象。对于与量子系统耦合的探测量子比特，当探测量子比特的频率与系统中的跃迁频率匹配时，系统会表现出共振动力学。因此，可以通过在探测量子比特和系统中的设计跃迁之间诱导共振，将系统引导到具有已知本征值的本征态。该算法还可用于获取物理系统的能谱，并且可以在相位估算算法上实现甚至二次加速。 显示英文摘要

摘要： We propose a quantum algorithm for solving the following problem: given the Hamiltonian of a physical system and one of its eigenvalues, how to obtain the corresponding eigenstate? The algorithm is based on the resonance phenomena. For a probe qubit coupled to a quantum system, the system exhibits a resonance dynamics when the frequency of the probe qubit matches a transition frequency in the system. Therefore the system can be guided to evolve to the eigenstate with known eigenvalue by inducing resonance between the probe qubit and a designed transition in the system. This algorithm can also be used to obtain the energy spectrum of a physical system and can achieve even a quadratic speedup over the phase estimation algorithm.