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A heralded and error-rejecting three-photon hyper-parallel quantum gate through cavity-assisted interactions.

Ji-Zhen Liu1, Hai-Rui Wei2, Ning-Yang Chen1

  • 1School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, China.

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This study introduces a new quantum computing method for a three-photon hyper-parallel Toffoli gate. This heralded, error-rejecting scheme is practical and feasible with current technology.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing Architectures

Background:

  • Hyper-parallel quantum computation offers high capacity and low loss rates.
  • Implementing complex quantum gates like Toffoli gates is crucial for quantum computation advancement.

Purpose of the Study:

  • To propose a heralded, compact, scalable, and deterministic error-rejecting scheme for a three-photon hyper-parallel Toffoli gate.
  • To enable simultaneous operation on polarization and spatial degrees of freedom.

Main Methods:

  • Utilizing single-photon detectors for error detection and rejection.
  • Implementing a unity gate that overcomes strong coupling strength limitations.
  • Heralding gate success through detector signals for potential efficiency improvement.

Main Results:

  • Demonstrated a practical and scalable scheme for a three-photon hyper-parallel Toffoli gate.
  • The scheme effectively rejects errors caused by side leakage and limited coupling strength.
  • Feasibility confirmed through evaluation with experimental parameters.

Conclusions:

  • The proposed scheme is practical and implementable with current experimental technology.
  • The heralded nature allows for efficiency improvements through repeated operations.
  • This contributes to the advancement of hyper-parallel quantum computation.