Quantum algorithms for quantum dynamics

A Miessen, PJ Ollitrault, F Tacchino… - Nature Computational …, 2023 - nature.com
Among the many computational challenges faced across different disciplines, quantum-
mechanical systems pose some of the hardest ones and offer a natural playground for the …

Quantum simulation of open quantum systems using a unitary decomposition of operators

AW Schlimgen, K Head-Marsden, LAM Sager… - Physical Review Letters, 2021 - APS
Electron transport in realistic physical and chemical systems often involves the nontrivial
exchange of energy with a large environment, requiring the definition and treatment of open …

Noise-assisted digital quantum simulation of open systems using partial probabilistic error cancellation

JD Guimarães, J Lim, MI Vasilevskiy, SF Huelga… - PRX Quantum, 2023 - APS
Quantum systems are inherently open and susceptible to environmental noise, which can
have both detrimental and beneficial effects on their dynamics. This phenomenon has been …

Quantum simulation of the Lindblad equation using a unitary decomposition of operators

AW Schlimgen, K Head-Marsden, LAM Sager… - Physical Review …, 2022 - APS
Accurate simulation of the time evolution of a quantum system under the influence of an
environment is critical to making accurate predictions in chemistry, condensed-matter …

Quantum state preparation and nonunitary evolution with diagonal operators

AW Schlimgen, K Head-Marsden, LAM Sager-Smith… - Physical Review A, 2022 - APS
Realizing nonunitary transformations on unitary-gate-based quantum devices is critically
important for simulating a variety of physical problems, including open quantum systems and …

Toward perturbation theory methods on a quantum computer

J Li, BA Jones, S Kais - Science Advances, 2023 - science.org
Perturbation theory, used in a wide range of fields, is a powerful tool for approximate
solutions to complex problems, starting from the exact solution of a related, simpler problem …

Robust Measurements of -Point Correlation Functions of Driven-Dissipative Quantum Systems on a Digital Quantum Computer

L Del Re, B Rost, M Foss-Feig, AF Kemper… - Physical Review Letters, 2024 - APS
We propose and demonstrate a unified hierarchical method to measure n-point correlation
functions that can be applied to driven, dissipative, or otherwise open or nonequilibrium …

Quantum Algorithm for Imaginary-Time Green's Functions

D Dhawan, D Zgid, M Motta - Journal of Chemical Theory and …, 2024 - ACS Publications
Green's function methods lead to ab initio, systematically improvable simulations of
molecules and materials while providing access to multiple experimentally observable …

Many-body hierarchy of dissipative timescales in a quantum computer

OE Sommer, F Piazza, DJ Luitz - Physical Review Research, 2021 - APS
We show that current noisy quantum computers are ideal platforms for the simulation of
quantum many-body dynamics in generic open systems. We demonstrate this using the IBM …

Quantum algorithm for solving open-system dynamics on quantum computers using noise

J Leppäkangas, N Vogt, KR Fratus, K Bark, JA Vaitkus… - Physical Review A, 2023 - APS
In this paper we present a quantum algorithm that uses noise as a resource. The goal of our
quantum algorithm is the calculation of operator averages of an open quantum system …