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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Simulating Open Quantum System Dynamics on NISQ Computers with Generalized Quantum Master Equations.

Yuchen Wang1, Ellen Mulvihill2, Zixuan Hu1

  • 1Department of Chemistry, Department of Physics, and Purdue Quantum Science and Engineering Institute, Purdue University, West Lafayette, Indiana 47907, United States.

Journal of Chemical Theory and Computation
|May 26, 2023
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Summary
This summary is machine-generated.

We developed a quantum algorithm using the generalized quantum master equation (GQME) to simulate open quantum systems on noisy quantum computers. This method accurately models complex dynamics beyond the limitations of traditional approaches.

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Area of Science:

  • Quantum Computing
  • Quantum Dynamics
  • Computational Physics

Background:

  • Simulating open quantum systems is crucial for understanding complex phenomena.
  • Existing methods like the Lindblad equation have limitations regarding system-bath coupling and Markovity.
  • Noisy Intermediate-Scale Quantum (NISQ) computers offer new possibilities for quantum simulations.

Purpose of the Study:

  • To present a novel quantum algorithm for simulating open quantum system dynamics on NISQ computers.
  • To overcome the limitations of the Lindblad equation by employing the generalized quantum master equation (GQME).
  • To enable accurate simulations of non-Markovian and strongly coupled open quantum systems.

Main Methods:

  • Utilized the generalized quantum master equation (GQME) approach.
  • Derived equations of motion for subsets of the reduced density matrix.
  • Employed the Sz.-Nagy dilation theorem to convert non-unitary propagators to unitary ones for quantum circuit implementation.
  • Validated the algorithm on the spin-boson benchmark model.

Main Results:

  • The GQME approach provides a rigorous method for simulating open quantum systems.
  • The Sz.-Nagy dilation theorem facilitates the implementation of complex dynamics on NISQ hardware.
  • The quantum algorithm demonstrated reliable performance on IBM NISQ computers for the spin-boson model.
  • Analysis showed the impact of quantum circuit depth on simulation accuracy.

Conclusions:

  • The proposed quantum algorithm effectively simulates open quantum system dynamics on NISQ devices.
  • This approach extends the applicability of quantum computing to more complex quantum systems.
  • The method offers a promising avenue for future research in quantum simulation and computation.