量子信息交叉中心学术报告029
Title: Quantum simulation of resonant transitions for solving the eigenproblem of a physical system and its application in data-fitting
Speaker:Prof. He-Feng Wang，Xi’an Jiaotong University
Place: RM 101，Bulg. 2，Xixi Campus (西溪校区西二楼101室)
Date and time: 14:00，Oct 16th，2019 （10月16日下午14:00）
Abstract：Obtaining the energy levels and eigenstates of a large physical system is a difficult task on a classical computer because of the exponentially growing size of the Hilbert space. We proposed a quantum algorithm which solves this problem via a mechanism of quantum simulation of resonant transitions (QSRT). The simulated transitions allow the state of a quantum simulator to transform and access large regions of the Hilbert space, including states that have no overlap with the initial state. Furthermore, we make use of this algorithm to efficiently prepare specific eigenstates according to the measured eigenenergies.
The total least squares (TLS) method is widely used in data-fitting. Compared with the least squares fitting method, the TLS fitting takes into account not only observation errors, but also errors from the measurement matrix of the variables. The TLS problem can be transformed to finding the ground state of a Hamiltonian matrix. We propose quantum algorithms for solving this problem based on quantum simulation of resonant transitions.
We will also discuss QSRT in multi-steps, which gives the flexibility in designing an evolution path from an initial Hamiltonian to the system Hamiltonian. This approach provides an efficient way for solving problems with a special structure.
王鹤峰博士简介：王鹤峰，西安交通大学理学院，2008 年毕业于普度大学,2018.9-2011.4在日本理化学研究所任博士后。主要研究方向为量子算法，量子计算与量子信息。