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Researchers demonstrate fast, arbitrary single-qubit holonomic gates using a single nonadiabatic evolution cycle. This breakthrough enhances quantum technology robustness by controlling geometric phases in nitrogen-vacancy centers.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Condensed Matter Physics

Background:

  • Geometric phases in quantum evolution are crucial for robust quantum technologies.
  • Active control of these phases offers new strategies for quantum computation.

Purpose of the Study:

  • To demonstrate arbitrary single-qubit holonomic gates using a single nonadiabatic evolution cycle.
  • To eliminate the need for concatenating multiple cycles for gate implementation.

Main Methods:

  • Utilized a two-tone optical field to control amplitude, phase, and detuning.
  • Applied this method to a nitrogen-vacancy center in diamond during a coherent excitation cycle.
  • Investigated non-Abelian geometric phase acquisition.

Main Results:

  • Successfully demonstrated arbitrary single-qubit holonomic gates in a single cycle.
  • Showcased enhanced robustness of detuned gates against excited-state decoherence.
  • Provided insights into optimizing fast holonomic control in dissipative quantum systems.

Conclusions:

  • Single-cycle holonomic gates offer a more efficient and robust approach to quantum control.
  • The demonstrated method paves the way for advanced quantum technologies.
  • Further optimization is possible for fast holonomic control in realistic quantum systems.