Quantum algorithms and applications for open quantum systems

LH Delgado-Granados, TJ Krogmeier… - Chemical …, 2024‏ - ACS Publications
Accurate models for open quantum systems─ quantum states that have nontrivial
interactions with their environment─ may aid in the advancement of a diverse array of fields …

Spin high harmonic generation through terahertz laser-driven phonons

NM Allafi, MH Kolodrubetz, M Bukov, V Oganesyan… - Physical Review B, 2024‏ - APS
In the realm of open quantum systems, steady states and high-harmonic generation (HHG)
existing far from equilibrium have become core pillars of ultrafast science. Most solid-state …

Entanglement diagnostics for efficient vqa optimization

J Kim, Y Oz - Journal of Statistical Mechanics: Theory and …, 2022‏ - iopscience.iop.org
We consider information spreading measures in randomly initialized variational quantum
circuits and introduce entanglement diagnostics for efficient variational quantum/classical …

Certifying steady-state properties of open quantum systems

L Mortimer, D Farina, G Di Bello, D Jansen… - arxiv preprint arxiv …, 2024‏ - arxiv.org
Estimating steady state properties of open quantum systems is a crucial problem in quantum
technology. In this work, we show how to derive in a scalable way using semi-definite …

Near-term quantum algorithm for solving the MaxCut problem with fewer quantum resources

X Zhao, Y Li, J Li, S Wang, S Wang, S Qin… - Physica A: Statistical …, 2024‏ - Elsevier
MaxCut is an NP-hard combinatorial optimization problem in graph theory. The quantum
approximate optimization algorithms (QAOAs) offer new methods for solving such problems …

Shallow-depth variational quantum hypothesis testing

M Subramanian, S Vinjanampathy - Physical Review A, 2024‏ - APS
The task of discriminating between two known quantum channels is a well-known binary-
hypothesis-testing task. We present a variational quantum algorithm with a parameterized …

Post-variational quantum neural networks

PW Huang, P Rebentrost - arxiv preprint arxiv:2307.10560, 2023‏ - arxiv.org
Hybrid quantum-classical computing in the noisy intermediate-scale quantum (NISQ) era
with variational algorithms can exhibit barren plateau issues, causing difficult convergence …

Hybrid algorithm simulating non-equilibrium steady states of an open quantum system

H Zhou, R Mao, X Sun - arxiv preprint arxiv:2309.06665, 2023‏ - arxiv.org
Non-equilibrium steady states are a focal point of research in the study of open quantum
systems. Previous variational algorithms for searching these steady states have suffered …

Exponential quantum advantages for practical non-Hermitian eigenproblems

XM Zhang, Y Zhang, W He, X Yuan - arxiv preprint arxiv:2401.12091, 2024‏ - arxiv.org
While non-Hermitian physics has attracted considerable attention, current studies are limited
to small or classically solvable systems. Quantum computing, as a powerful eigensolver …

Amplification, Mitigation and Energy Storage via Constrained Thermalization

H Shrotriya, M Krishna, LC Kwek… - arxiv preprint arxiv …, 2023‏ - arxiv.org
Amplification (mitigation) is the increase (decrease) in the change of thermodynamic
quantities when an initial thermal state is thermalized to a different temperature in the …