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Blockwise optimization for projective variational quantum dynamics (BLOP-VQD): Algorithm and implementation for

Harshdeep Singh1, Sonjoy Majumder2, Sabyashachi Mishra3

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We developed an efficient quantum dynamics simulation method by optimizing only parts of the quantum circuit parameters at each step. This approach significantly reduces computational cost while maintaining simulation accuracy for complex quantum systems.

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Area of Science:

  • Quantum physics
  • Computational chemistry
  • Quantum computing

Background:

  • Simulating real-time quantum dynamics is computationally intensive.
  • Variational quantum dynamics typically updates all parameters simultaneously.
  • Existing methods face challenges with scalability and resource requirements.

Purpose of the Study:

  • To introduce an efficient method for simulating real-time quantum dynamics.
  • To reduce the computational cost of quantum dynamics simulations.
  • To enable high-fidelity simulations of complex quantum systems.

Main Methods:

  • Projected variational quantum dynamics with selective parameter optimization.
  • Optimizing one block of variational parameters at a time while others remain fixed.
  • Exploring sequential, random, and fidelity-based strategies for block selection.

Main Results:

  • Significantly reduced computational overhead compared to standard methods.
  • Preserved accuracy in simulating time evolution of quantum systems.
  • Demonstrated performance on various spin-lattice models.

Conclusions:

  • The proposed semi-global optimization strategy is effective for quantum dynamics simulation.
  • This method offers a promising path for simulating complex quantum systems with fewer resources.
  • Enables more accessible high-fidelity quantum simulations.