Quantum algorithm for total least squares data fitting

Publication date: Available online 24 April 2019Source: Physics Letters AAuthor(s): Hefeng Wang, Hua XiangAbstractThe 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. In this work, the TLS problem is 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. Our algorithms can achieve at least polynomial speedup over the known classical algorithms.

Source: Physics Letters A - April 26, 2019 Category: Physics Source Type: research