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This study presents a new stochastic method for simulating open quantum systems. Bundling Lindblad operators reduces computational complexity, enabling accurate dynamics modeling for large quantum systems.

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Area of Science:

  • Quantum Mechanics
  • Computational Physics
  • Quantum Information Science

Background:

  • The Lindblad master equation is essential for modeling open quantum systems.
  • High computational cost hinders simulations of large quantum systems.

Purpose of the Study:

  • Introduce a computationally efficient stochastic representation of the Lindblad dissipator.
  • Bundle Lindblad operators to reduce simulation complexity.
  • Maintain the properties of completely positive and trace-preserving quantum dynamics.

Main Methods:

  • Developed a stochastic representation for the Lindblad dissipator by bundling operators.
  • Ensured the stochastic dissipator preserves the Lindblad form and quantum dynamical properties.
  • Applied the method to a Morse oscillator coupled to a spin bath for numerical validation.

Main Results:

  • The stochastic dissipator accurately captures system dynamics with fewer operators.
  • Effective simulation of large Hilbert space dimensions is achieved.
  • Demonstrated computational efficiency compared to traditional methods.

Conclusions:

  • The stochastic representation offers a computationally tractable approach for open quantum system dynamics.
  • Bundling Lindblad operators provides a novel perspective for quantum system simulations.
  • This method facilitates accurate modeling of complex quantum systems.