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Double-Bracket Quantum Algorithms for Quantum Imaginary-Time Evolution.

Marek Gluza1, Jeongrak Son1, Bi Hong Tiang1

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This summary is machine-generated.

Researchers developed a new quantum algorithm for finding approximate ground states. This method, double-bracket quantum imaginary-time evolution (DB-QITE), efficiently improves ground state approximations using shallow quantum circuits.

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Area of Science:

  • Quantum computing
  • Quantum algorithms
  • Condensed matter physics

Background:

  • Preparing ground states of strongly correlated systems is crucial but challenging on quantum hardware.
  • Existing methods for imaginary-time evolution often use heuristic or deep quantum circuits.

Purpose of the Study:

  • To develop an efficient quantum algorithm for preparing approximate ground states.
  • To synthesize quantum circuits that coherently implement imaginary-time evolution.

Main Methods:

  • Utilizing the insight that quantum imaginary-time evolution is a solution to Brockett's double-bracket flow.
  • Synthesizing quantum circuits to implement double-bracket flows coherently.
  • Proving the cooling guarantees of the developed algorithm.

Main Results:

  • The double-bracket quantum imaginary-time evolution (DB-QITE) algorithm guarantees energy decrease and fidelity increase with the ground state at each step.
  • Numerical simulations show DB-QITE outperforms quantum phase estimation in certain scenarios.
  • DB-QITE utilizes shallow quantum circuits for systematic ground state approximation.

Conclusions:

  • DB-QITE offers a novel and efficient approach to approximate ground state preparation on quantum computers.
  • The algorithm provides a systematic way to improve ground state approximations with guaranteed convergence properties.
  • This method advances the application of quantum computing to strongly correlated systems.