A quantum block encoding discrete adiabatic evolution solving method for direct current power flow equation

Abstract

The application provides a quantum block coding discrete adiabatic evolution solving method for a direct current power flow equation. Main steps of the quantum discrete adiabatic power flow solving method are as follows: a Hamilton function is designed according to a conductance matrix of the direct current power flow equation and known active power injection of nodes, the Hamilton function is post-processed by using an eigenvalue separator, then an improved block coding technology is embedded into a quantum discrete adiabatic linear solver, and first-order approximation is used to realize approximate Hamilton function simulation, so that the preparation of a quantum state solution of the complex Hamilton function simulation and the power flow equation is bypassed. The improved block coding technology is introduced into the method, and equivalent non-unitary operations on a quantum system in a discrete adiabatic evolution process are realized. The Hamilton function containing information of a solution of the direct current power flow equation is designed, and the eigenvalue separation technology is introduced to post-process the Hamilton function, so that the gap between a target eigenvalue and a neighboring eigenvalue is increased, the success rate of the quantum discrete adiabatic evolution is improved, and the solving efficiency and accuracy are optimized.

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