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Parallel in time dynamics with quantum annealers.

Konrad Jałowiecki1, Andrzej Więckowski2, Piotr Gawron3,4

  • 1Institute of Physics, University of Silesia, 75 Pułku Piechoty 1, 41-500, Chorzów, Poland. konrad.jalowiecki@smcebi.edu.pl.

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We present a novel parallel-in-time quantum algorithm for simulating dynamical systems on quantum annealers. This approach rephrases time evolution as a ground-state search, enabling parallel computation for quantum systems.

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Area of Science:

  • Quantum computing
  • Computational physics
  • Quantum simulation

Background:

  • Experiments and simulations using quantum computers, especially quantum annealers, are rapidly increasing.
  • Classical methods for simulating dynamical systems are inherently serial, limiting parallelization and computational speed.

Purpose of the Study:

  • To propose a parallel-in-time approach for simulating dynamical systems on current quantum annealers.
  • To overcome the limitations of serial classical simulation methods.

Main Methods:

  • Rephrasing the time evolution of dynamical systems as a ground-state search problem.
  • Utilizing the inherent parallelism of quantum computers to solve the Ising model ground-state problem.
  • Experimental simulation of Rabi oscillations in a two-level quantum system (qubit).

Main Results:

  • Demonstrated a novel method for quantum simulation of dynamical systems.
  • Successfully simulated Rabi oscillations using the proposed parallel-in-time approach on quantum annealers.
  • Showcased the potential of quantum annealers for solving complex dynamics problems.

Conclusions:

  • The proposed parallel-in-time approach offers a viable strategy for near-term quantum simulation on quantum annealers.
  • This method effectively leverages quantum parallelism to address limitations in classical simulation techniques.
  • The experimental validation on Rabi oscillations confirms the practical applicability of the approach for quantum systems.