US 2022/0092458 A1 · SYSTEM-BASED EXTENSION OF QEOM ALGORITHM FOR QUANTUM COMPUTATION OF EXCITED-STATE PROPERTIES

Abstract

Systems and methods that facilitate motion formalism utilizing quantum computing, to compute matrix operators in terms of commutators between qubit operators and measurements on the quantum hardware, wherein the commutators are computed utilizing symbolic calculus. Embodiments reduce computational cost of generalized eigenvalue synthesis relying on symbolic calculus and parallelization. Embodiments disclosed herein can also develop estimators of excited-states properties, considering constants of motion (e.g. spin) and non-constants of motions (e.g. dipoles, density matrices).

Claims23

Dependent claims

A system, comprising:

a classical processor that executes the following computer executable components stored in memory, wherein the computer executable components comprise:
a mapping component that maps Hamiltonian and pairs of excitation operators and respective adjoints to qubit operators to facilitate measurement on quantum hardware;
and
a computation component that computes matrix operators in terms of commutators between the qubit operators and the facilitated measurements on the quantum hardware, wherein the commutators are computed utilizing symbolic calculus.

1 more element

A computer program product comprising a computer readable storage medium having program instructions embodied therewith, the program instructions executable by a classical processor to cause the classical processor to:

map Hamiltonian and pairs of excitation operators and respective adjoints to qubit operators to facilitate measurement on quantum hardware;
and
compute matrix operators in terms of commutators between the qubit operators and the facilitated measurements on the quantum hardware, wherein the commutators are computed utilizing symbolic calculus.

Dependencies are inferred from the claim text.

Facts

Application

17/024,909Filed 18 Sep 2020

Published

24 Mar 2022

Term ends

Not estimatedThe source records don’t support an estimate.

Classification7 codes

G06F 17/11
Complex mathematical operations: for solving equations , e.g. nonlinear equations, general mathematical optimization problems
G06N 10/00
Quantum computing, i.e. information processing based on quantum-mechanical phenomena
G06F 17/16
Complex mathematical operations: matrix or vector computation , e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
G06N 10/60
Quantum computing, i.e. information processing based on quantum-mechanical phenomena: quantum algorithms, e.g. based on quantum optimisation,…

System-based extension of qeom algorithm for quantum computation of excited-state properties

Life of this patent

System-based extension of qeom algorithm for quantum computation of excited-state properties

Life of this patent

Abstract

Claims23