Digital Quantum Simulation of Open Quantum Systems Using Quantum Imaginary–Time Evolution
Abstract
Quantum simulation on emerging quantum hardware is a topic of intense interest. While many studies focus on computing ground-state properties or simulating unitary dynamics of closed systems, open quantum systems are an interesting target of study owing to their ubiquity and rich physical behavior. However, their nonunitary dynamics are also not natural to simulate on digital quantum devices. Here, we report algorithms for the digital quantum simulation of the dynamics of open quantum systems governed by a Lindblad equation using adaptations of the quantum imaginary–time evolution algorithm. We demonstrate the algorithms on IBM Quantum's hardware with simulations of the spontaneous emission of a two-level system and the dissipative transverse field Ising model. Our work advances efforts to simulate the dynamics of open quantum systems on quantum hardware.
Additional Information
© 2022 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. (Received 7 June 2021; accepted 11 January 2022; published 4 February 2022) H.K., S.-N.S., and A.J.M. are supported by the NSF under Grant No. 1839204.Attached Files
Published - PRXQuantum.3.010320.pdf
Accepted Version - 2104.07823.pdf
Supplemental Material - supp.pdf
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Additional details
- Alternative title
- Digital quantum simulation of open quantum systems using quantum imaginary time evolution
- Eprint ID
- 113332
- Resolver ID
- CaltechAUTHORS:20220208-948217000
- CCF-1839204
- NSF
- Created
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2022-02-08Created from EPrint's datestamp field
- Updated
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2022-02-08Created from EPrint's last_modified field