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Title: Convex optimization for nonequilibrium steady states on a hybrid quantum processor
Authors: Lau, Jonathan Wei Zhong
Lim, Kian Hwee
Bharti, Kishor
Kwek, Leong Chuan
Vinjanampathy, Sai
Keywords: Science::Physics
Issue Date: 2023
Source: Lau, J. W. Z., Lim, K. H., Bharti, K., Kwek, L. C. & Vinjanampathy, S. (2023). Convex optimization for nonequilibrium steady states on a hybrid quantum processor. Physical Review Letters, 130(24), 240601-.
Journal: Physical Review Letters 
Abstract: Finding the transient and steady state properties of open quantum systems is a central problem in various fields of quantum technologies. Here, we present a quantum-assisted algorithm to determine the steady states of open system dynamics. By reformulating the problem of finding the fixed point of Lindblad dynamics as a feasibility semidefinite program, we bypass several well-known issues with variational quantum approaches to solving for steady states. We demonstrate that our hybrid approach allows us to estimate the steady states of higher dimensional open quantum systems and discuss how our method can find multiple steady states for systems with symmetries.
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.130.240601
Schools: School of Electrical and Electronic Engineering 
Organisations: National University of Singapore 
MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit 
National Institute of Education 
Rights: © 2023 American Physical Society. All rights reserved. This article may be downloaded for personal use only. Any other use requires prior permission of the copyright holder. The Version of Record is available online at or URL link.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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