DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Linear Combination of Hamiltonian Simulation for Nonunitary Dynamics with Optimal State Preparation Cost

Journal Article · · Physical Review Letters

Not Available

Sponsoring Organization:
USDOE
OSTI ID:
2202302
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 15 Vol. 131; ISSN 0031-9007; ISSN PRLTAO
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (32)

A perfectly matched layer for the absorption of electromagnetic waves journal October 1994
On the generators of quantum dynamical semigroups journal June 1976
Quantum Algorithm for Linear Differential Equations with Exponentially Improved Dependence on Precision journal October 2017
Quantum Spectral Methods for Differential Equations journal February 2020
A perfectly matched layer approach to the nonlinear Schrödinger wave equations journal November 2007
Complex absorbing potentials journal June 2004
Parametrization of complex absorbing potentials for time-dependent quantum dynamics journal October 1992
Negative imaginary potentials in time-dependent quantum molecular scattering journal January 1997
Completely positive dynamical semigroups of N-level systems journal January 1976
Efficient quantum algorithm for dissipative nonlinear differential equations journal August 2021
Analysis of a complex absorbing barrier journal January 1991
Higher order decompositions of ordered operator exponentials journal January 2010
High-order quantum algorithm for solving linear differential equations journal February 2014
Quantum Computation and Information book January 2002
Optimal Scaling Quantum Linear-Systems Solver via Discrete Adiabatic Theorem journal October 2022
Ground-State Preparation and Energy Estimation on Early Fault-Tolerant Quantum Computers via Quantum Eigenvalue Transformation of Unitary Matrices journal October 2022
Fast inversion, preconditioned quantum linear system solvers, fast Green's-function computation, and fast evaluation of matrix functions journal September 2021
Monte Carlo simulation of the atomic master equation for spontaneous emission journal April 1992
Quantum Algorithm for Linear Systems of Equations journal October 2009
Simulating Hamiltonian Dynamics with a Truncated Taylor Series journal March 2015
Optimal Hamiltonian Simulation by Quantum Signal Processing journal January 2017
Wave-function approach to dissipative processes in quantum optics journal February 1992
Theory of Trotter Error with Commutator Scaling journal February 2021
Nonequilibrium boundary-driven quantum systems: Models, methods, and properties journal December 2022
Hamiltonian Simulation with Nearly Optimal Dependence on all Parameters conference October 2015
Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision journal January 2017
Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics conference January 2019
Time-dependent Hamiltonian Simulation of Highly Oscillatory Dynamics and Superconvergence for Schrödinger Equation journal April 2022
Improved quantum algorithms for linear and nonlinear differential equations journal February 2023
Error-resilient Monte Carlo quantum simulation of imaginary time journal February 2023
Time-marching based quantum solvers for time-dependent linear differential equations journal March 2023
Hamiltonian simulation using linear combinations of unitary operations journal November 2012