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Assisted quantum simulation of open quantum systems.

Jin-Min Liang1, Qiao-Qiao Lv1, Zhi-Xi Wang1

  • 1School of Mathematical Sciences, Capital Normal University, Beijing 100048, China.

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|March 30, 2023
PubMed
Summary
This summary is machine-generated.

We developed quantum-assisted quantum algorithms to simulate open quantum systems on current noisy quantum devices. This approach reduces circuit depth, making universal quantum algorithms more feasible for near-term applications.

Keywords:
Quantum mechanicsQuantum physicsQuantum theory

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Area of Science:

  • Quantum Computing
  • Quantum Simulation
  • Computational Physics

Background:

  • Universal quantum algorithms promise exponential speedups but require fault-tolerant quantum computers, which are currently unavailable.
  • Noisy Intermediate-Scale Quantum (NISQ) devices are the current standard, but their limitations hinder the implementation of deep quantum circuits.

Purpose of the Study:

  • To introduce a quantum-assisted quantum algorithm framework to reduce the circuit depth of universal quantum algorithms using NISQ devices.
  • To develop practical quantum algorithms for simulating open quantum systems on NISQ hardware.

Main Methods:

  • Developed a quantum-assisted quantum algorithm framework leveraging NISQ technology to shorten quantum circuit depth.
  • Proposed two quantum-assisted algorithms for short-time evolution of open quantum systems using parameterized quantum circuits.
  • Introduced a variational quantum state preparation method for efficient classical vector to quantum state loading with shallow circuits and logarithmic qubits.

Main Results:

  • Successfully simulated a two-level system with an amplitude damping channel.
  • Demonstrated the approach on an open version of the dissipative transverse field Ising model on two sites.
  • Validated the feasibility of using NISQ devices for simulating open quantum systems with reduced circuit complexity.

Conclusions:

  • Quantum-assisted quantum algorithms offer a viable path to harness quantum computation for simulating complex systems on current NISQ devices.
  • The proposed methods effectively reduce the resource requirements for quantum simulations, paving the way for near-term quantum advantage in specific problems.