Newton-Type Method for Phase Factor Determination in Quantum Signal Processing

Abstract

Systems and techniques that facilitate phase factor determination in quantum signal processing are provided. Various embodiments described herein comprise a system, which can comprise: a memory that can store computer executable components; and a processor, operably coupled to the memory, that can execute at least one of the computer executable components that can receive a first target real-valued function and a second target real-valued function that represent a target transformation on a quantum state; determine a system of non-linear equations based on the first target real-valued function and the second target real-valued function, the system of non-linear equations comprising a number of phase factors that define parameters of quantum operations; determine the phase factors using a modified Newton method to iteratively solve the system of non-linear equations; and configure the quantum processor to apply the phase factors to a quantum circuit to implement the target transformation on the quantum state.

CPC Classifications