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Variational quantum simulation of time-local quantum master equations via quantum jump.

Zhihao Lan1, Jie Liu2, Zhenyu Li2

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This study introduces a quantum algorithm for simulating complex open quantum systems, overcoming classical computation limits. The method is resilient to noise and accurately models quantum dynamics on current quantum processors.

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Area of Science:

  • Quantum Computing
  • Quantum Information Science
  • Computational Physics

Background:

  • Open quantum systems with strong coupling and environmental memory are computationally challenging for classical methods.
  • Simulating these systems is crucial for understanding complex quantum dynamics.

Purpose of the Study:

  • To develop a variational quantum algorithm for solving time-local quantum master equations on noisy intermediate-scale quantum (NISQ) processors.
  • To enable scalable simulations of open quantum systems in the NISQ era.

Main Methods:

  • Utilized a pair-vector stochastic Schrödinger equation for unraveling time-local quantum master equations.
  • Employed McLachlan's principle for deterministic evolution and singular-value decomposition for stochastic jump implementation.
  • Integrated Hadamard tests for measuring jump rates and reduced density matrices, alongside no-evolution sampling for trajectories.

Main Results:

  • The quantum algorithm successfully simulated the Redfield and fourth-order time-local non-Markovian master equations on classical simulators and a superconducting quantum processor.
  • The protocol demonstrated resilience to realistic hardware noise.
  • Key features of open quantum dynamics, including non-Markovian oscillations and strong-coupling effects, were accurately captured.

Conclusions:

  • The proposed variational quantum algorithm offers a practical and scalable pathway for simulating complex open quantum systems.
  • This work advances the capabilities of NISQ devices for tackling previously intractable quantum dynamics problems.