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<p>A universal set of geometric quantum gates are realized with the interactions between quantum dots, the microcavity mode and laser fields via a cavity quantum dot system. The geometric quantum gates are only sensitively depending on the evolution path taken for the geometric phase. The all-geometric manipulation based on geometric phases can still maintain high fidelity when the collective relaxation rate <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\gamma _{1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>γ</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation>, the dephasing rate <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\gamma _{\phi }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>γ</mi> <mi>ϕ</mi> </msub> </math></EquationSource> </InlineEquation> and the cavity decay rate <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\kappa \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>κ</mi> </math></EquationSource> </InlineEquation> vary within a certain range. Discussions about the populations of quantum states and the gate fidelities with the system parameters and experimental parameters show that our schemes can be implemented in current experimental technology with high fidelity.</p>

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Implementation of geometric quantum computation with a quantum dot system

  • 期刊论文

  • 发表日期：

    2026年7月2日

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  • Jun Liu,
  • Ping Dong,
  • Jian Zhou,
  • Ming Yang

摘要

A universal set of geometric quantum gates are realized with the interactions between quantum dots, the microcavity mode and laser fields via a cavity quantum dot system. The geometric quantum gates are only sensitively depending on the evolution path taken for the geometric phase. The all-geometric manipulation based on geometric phases can still maintain high fidelity when the collective relaxation rate \(\gamma _{1}\) γ 1 , the dephasing rate \(\gamma _{\phi }\) γ ϕ and the cavity decay rate \(\kappa \) κ vary within a certain range. Discussions about the populations of quantum states and the gate fidelities with the system parameters and experimental parameters show that our schemes can be implemented in current experimental technology with high fidelity.