Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session LL08: V: Quantum Simulation
5:00 AM–6:48 AM,
Tuesday, March 21, 2023
Room: Virtual Room 8
Sponsoring
Unit:
DQI
Chair: Orkesh Nurbolat, Nanjing University
Abstract: LL08.00004 : Simulation of open quantum system dynamics based on the generalized quantum master equation on quantum computing devices*
5:36 AM–5:48 AM
Presenter:
Yuchen Wang
(Purdue University)
Authors:
Yuchen Wang
(Purdue University)
Ellen Mulvihill
(Yale university)
Zixuan Hu
(Purdue University)
Ningyi Lyu
(Yale university)
Saurabh Shivpuje
(Purdue university)
Yudan Liu
(University of Michigan, Ann Arbor)
Micheline B Soley
(University of Wisconsin-Madison, Madison)
Eitan Geva
(University of Michigan)
Victor S Batista
(Yale university)
Sabre Kais
(Purdue University)
The generalized quantum master equation (GQME) formalism provides a universal framework for simulating the dynamics of open quantum systems. Using this framework allows one to derive a formally exact equation of motion, i.e., the GQME, for the reduced density matrix that describes the state of a system coupled to a bath, without employing commonly made restrictive assumptions such as weak system-bath coupling and Markovity. Within this GQME, the e?ect of the bath on the time evolution of the system's reduced density matrix is fully captured by a memory kernel superoperator.
In this work we develop a general-purpose GQME-based quantum algorithm for simulating open quantum system dynamics.
Starting out from the memory kernel as the input, we solve the GQME for the system's non-unitary time evolution superoperator.
We then use dilation techniques to convert the non-unitary time evolution superoperator into a unitary time evolution superoperator in an extended Hilbert space, which can be implemented on quantum circuits. The GQME-based quantum algorithm is demonstrated with the spin-boson benchmark model, including implementations on the IBM QASM quantum simulator and IBM quantum computers.
*We acknowledge the financial support of the National Science Foundation under award number 2124511, CCI Phase I: NSF Center for Quantum Dynamics on Modular Quantum Devices (CQD-MQD).
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