Simulating Open Quantum System Dynamics on NISQ Computers with Generalized Quantum Master Equations

• URL: http://arxiv.org/abs/2209.04956v2
• Date: Tue, 8 Aug 2023 15:11:33 GMT
• Title: Simulating Open Quantum System Dynamics on NISQ Computers with Generalized Quantum Master Equations
• Authors: Yuchen Wang (1), Ellen Mulvihill (2), Zixuan Hu (1), Ningyi Lyu (2), Saurabh Shivpuje (1), Yudan Liu (3), Micheline B. Soley (2 and 4), Eitan Geva (3), Victor S. Batista (2), and Sabre Kais (1) ((1) Purdue University, (2) Yale University, (3) University of Michigan, Ann Arbor, (4) University of Wisconsin-Madison)
• Abstract summary: We present a quantum algorithm based on the Generalized Quantum Master Equation (GQME) approach to simulate open quantum system dynamics. We show how the Sz.-Nagy dilation theorem can be employed to transform the non-unitary propagator into a unitary one in a higher-dimensional Hilbert space.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a quantum algorithm based on the Generalized Quantum Master Equation (GQME) approach to simulate open quantum system dynamics on noisy intermediate-scale quantum (NISQ) computers. This approach overcomes the limitations of the Lindblad equation, which assumes weak system-bath coupling and Markovity, by providing a rigorous derivation of the equations of motion for any subset of elements of the reduced density matrix. The memory kernel resulting from the effect of the remaining degrees of freedom is used as input to calculate the corresponding non-unitary propagator. We demonstrate how the Sz.-Nagy dilation theorem can be employed to transform the non-unitary propagator into a unitary one in a higher-dimensional Hilbert space, which can then be implemented on quantum circuits of NISQ computers. We validate our quantum algorithm as applied to the spin-boson benchmark model by analyzing the impact of the quantum circuit depth on the accuracy of the results when the subset is limited to the diagonal elements of the reduced density matrix. Our findings demonstrate that our approach yields reliable results on NISQ IBM computers.

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