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Dynamical-invariant-based holonomic quantum gates: Theory and experiment.

Yingcheng Li1,2, Tao Xin3,4, Chudan Qiu3

  • 1State Key Laboratory of Surface Physics, Department of Physics, Center for Field Theory and Particle Physics, and Institute for Nanoelectronic devices and Quantum computing, Fudan University, Shanghai 200433, China.

Fundamental Research
|December 11, 2024
PubMed
Summary
This summary is machine-generated.

We present a scalable method for holonomic quantum gates (HQGs) using dynamical invariants, overcoming decoherence and scaling issues. This platform-independent approach achieves high fidelity for single and two-qubit gates, paving the way for large-scale quantum computation.

Keywords:
Dynamical invariantGeometric gatesHolonomic gatesNuclear magnetic resonancePlatform-independent

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Area of Science:

  • Quantum Computing
  • Quantum Information Science
  • Quantum Control

Background:

  • Existing holonomic quantum gates (HQGs) face challenges like decoherence (adiabatic) or complexity/scalability issues (non-adiabatic).
  • Current methods often require additional Hilbert spaces, limiting practical implementation.

Purpose of the Study:

  • To develop a systematic, scalable approach for realizing holonomic quantum gates (HQGs).
  • To overcome limitations of existing HQG methods, specifically decoherence and scalability.
  • To demonstrate the platform independence of the proposed method.

Main Methods:

  • Utilizing dynamical invariants as the core principle for gate realization.
  • Developing a theoretical framework for the dynamical invariant-based approach.
  • Experimentally implementing and evaluating single-qubit and two-qubit HQGs on a nuclear magnetic resonance system.

Main Results:

  • Achieved high average fidelity of 0.9972 for single-qubit gates via randomized benchmarking.
  • Demonstrated a controlled-NOT gate fidelity of 0.9782 using quantum process tomography.
  • Validated the theoretical framework through experimental results.

Conclusions:

  • The dynamical invariant-based approach offers a scalable and robust method for realizing HQGs.
  • The method successfully overcomes decoherence and the need for extra Hilbert spaces.
  • This platform-independent technique holds promise for advancing large-scale holonomic quantum computation.