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Continuous-Variable Assisted Thermal Quantum Simulation.

Dan-Bo Zhang1,2, Guo-Qing Zhang1,2, Zheng-Yuan Xue1,2

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|July 23, 2021
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Summary
This summary is machine-generated.

We developed a feasible quantum algorithm for simulating quantum systems at finite temperatures. This method accurately models phase diagrams using few qubits, showing promise for current quantum computers.

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Area of Science:

  • Quantum Computing
  • Condensed Matter Physics
  • Quantum Simulation

Background:

  • Simulating quantum many-body systems at finite temperatures is a significant challenge in quantum physics.
  • Developing efficient algorithms for quantum simulations is crucial for advancing scientific understanding.

Purpose of the Study:

  • To present an experimentally feasible quantum algorithm for simulating quantum systems at finite temperatures.
  • To demonstrate the algorithm's capability by simulating phase diagrams of quantum models.

Main Methods:

  • A novel quantum algorithm utilizing continuous variables for finite-temperature simulations.
  • Polynomial time complexity scaling with inverse temperature and accuracy.
  • Application to quantum Ising and Kitaev models.

Main Results:

  • Accurate simulation of finite-temperature phase diagrams for quantum Ising and Kitaev models.
  • Demonstrated feasibility on a quantum computer with a small number of qubits.
  • Identified accurate simulation of the Kitaev ring crossover phase diagram.

Conclusions:

  • The proposed quantum algorithm is implementable on current quantum processors.
  • The algorithm offers a promising approach for simulating complex quantum systems.
  • Protocols for superconducting and trapped-ion quantum computers are suggested.