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A quantum algorithm for evolving open quantum dynamics on quantum computing devices.

Zixuan Hu1,2, Rongxin Xia1, Sabre Kais3

  • 1Department of Chemistry, Department of Physics, and Birck Nanotechnology Center, Purdue University, West Lafayette, IN, 47907, United States.

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|February 26, 2020
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Summary
This summary is machine-generated.

We present a novel quantum algorithm for simulating open quantum dynamics, crucial for realistic physical models. This method efficiently evolves quantum states using unitary gates, reducing resource requirements for quantum computing applications.

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Area of Science:

  • Quantum Computing
  • Quantum Dynamics
  • Quantum Information Science

Background:

  • Simulating quantum systems is vital, but modeling open quantum dynamics, which includes system-environment interactions, remains challenging.
  • Existing methods for open quantum dynamics often require significant computational resources.

Purpose of the Study:

  • To propose and demonstrate a general quantum algorithm for evolving open quantum dynamics on quantum computing devices.
  • To provide a resource-efficient method for simulating realistic quantum systems.

Main Methods:

  • The algorithm converts Kraus operators, which govern time evolution, into unitary matrices using Sz.-Nagy's theorem.
  • This approach utilizes unitary quantum gates for state evolution, a more efficient method than conventional Stinespring dilation.
  • The algorithm was demonstrated on an amplitude damping channel using IBM's Qiskit simulator and a quantum device.

Main Results:

  • The proposed quantum algorithm successfully simulates open quantum dynamics.
  • The method achieves state evolution using unitary gates with significantly reduced resource overhead compared to traditional approaches.
  • Demonstration on amplitude damping channel confirms the algorithm's efficacy on both simulated and real quantum hardware.

Conclusions:

  • The developed quantum algorithm offers a general and efficient approach to simulating open quantum dynamics.
  • Its ability to use unitary gates with minimal dilation makes it suitable for current and future quantum computing devices.
  • The algorithm's model-agnostic nature allows for broad applicability to various open quantum dynamical systems.