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Quantum Simulation of Dissipative Processes without Reservoir Engineering.

R Di Candia1, J S Pedernales1, A del Campo2

  • 1Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain.

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|May 30, 2015
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Summary
This summary is machine-generated.

We developed a quantum algorithm to simulate quantum dynamics described by Lindblad master equations. This method accurately models both Markovian and non-Markovian systems without needing to engineer interactions.

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Area of Science:

  • Quantum computing
  • Quantum dynamics simulation
  • Quantum information theory

Background:

  • Simulating quantum dynamics is crucial for understanding complex quantum systems.
  • Lindblad master equations are standard for describing open quantum systems.
  • Current methods often require complex engineering of system-environment interactions.

Purpose of the Study:

  • To present a novel quantum algorithm for simulating general finite dimensional Lindblad master equations.
  • To enable simulation of both Markovian and non-Markovian quantum dynamics.
  • To avoid the need for engineering system-environment interactions.

Main Methods:

  • Quantum computation of dissipative corrections to unitary evolution.
  • Reconstruction of response functions associated with Lindblad operators.
  • Applicable to dynamics from effectively non-Hermitian Hamiltonians.

Main Results:

  • The algorithm accurately simulates quantum dynamics governed by Lindblad master equations.
  • Demonstrated capability for both Markovian and non-Markovian dynamics.
  • Provided specific error bounds to quantify the method's accuracy.

Conclusions:

  • The proposed quantum algorithm offers a robust and accurate method for simulating open quantum system dynamics.
  • This approach simplifies the simulation process by removing the need for interaction engineering.
  • The method has broad applicability in quantum information science and related fields.