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This study enhances holonomic quantum computation by using a structured environment to improve error resilience in nonadiabatic holonomic gates, reducing sensitivity to systematic parameter errors.

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Area of Science:

  • Quantum Information Science
  • Quantum Computation
  • Condensed Matter Physics

Background:

  • Holonomic quantum computation leverages non-Abelian geometric phases for error-resilient quantum gates.
  • Nonadiabatic holonomic gates offer high-speed operation, minimizing decoherence.
  • Existing methods are sensitive to systematic parameter errors.

Purpose of the Study:

  • To broaden the error resilience of nonadiabatic holonomic gates.
  • To incorporate protection against systematic parameter errors.
  • To develop an environment-assisted quantum computation scheme.

Main Methods:

  • Interacting the computational system with a structured environment.
  • Maintaining the geometric properties of quantum evolution.
  • Utilizing a proof-of-concept spin-bath model.

Main Results:

  • Demonstrated an environment-assisted holonomic quantum map mimicking holonomic gates.
  • Showcased widened error resilience against systematic parameter errors.
  • Reduced sensitivity to systematic errors in the spin-bath model.

Conclusions:

  • Structured environments can enhance error resilience in nonadiabatic holonomic quantum computation.
  • Environment-assisted holonomic quantum maps offer a viable strategy for robust quantum gates.
  • The proposed scheme provides a pathway towards more fault-tolerant quantum computing.