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Measurement-Based Deterministic Imaginary Time Evolution.

Yuping Mao1,2, Manish Chaudhary1,2, Manikandan Kondappan1,2

  • 1State Key Laboratory of Precision Spectroscopy, School of Physical and Material Sciences, East China Normal University, Shanghai 200062, China.

Physical Review Letters
|September 29, 2023
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Summary
This summary is machine-generated.

This study presents a new quantum algorithm for simulating imaginary time evolution using weak measurements and conditional operations. This method offers a deterministic approach to quantum simulations, correcting for measurement randomness.

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Area of Science:

  • Quantum Computing
  • Quantum Simulation
  • Quantum Information Science

Background:

  • Imaginary time evolution is crucial for finding the ground state of quantum systems.
  • Simulating quantum systems efficiently remains a significant challenge in computational physics.

Purpose of the Study:

  • To develop a novel, controllable method for performing imaginary time evolution in quantum systems.
  • To enable deterministic quantum simulations using readily implementable techniques.

Main Methods:

  • Implementing a sequence of weak measurements based on a Suzuki-Trotter decomposition of the target Hamiltonian.
  • Utilizing conditional unitary operations to correct for measurement-induced randomness.
  • Efficient construction of both required measurements and conditional operations.

Main Results:

  • The proposed algorithm approximates imaginary time evolution effectively.
  • The evolution is rendered deterministic by correcting for measurement randomness.
  • The algorithm's convergence is dependent on an energy threshold.
  • Computational complexity is analyzed for specific quantum problems.

Conclusions:

  • This work provides an efficient and deterministic method for quantum imaginary time evolution.
  • The technique is suitable for controllable quantum systems and offers a pathway for advanced quantum simulations.
  • Further analysis of convergence and complexity is warranted for broader applications.