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Passive CPHASE Gate via Cross-Kerr Nonlinearities.

Daniel J Brod1, Joshua Combes1,2

  • 1Perimeter Institute for Theoretical Physics, 31 Caroline Street N, Waterloo, Ontario N2L 2Y5, Canada.

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Researchers propose a new controlled-phase (cphase) gate using atom-mediated cross-Kerr interactions. Increasing interaction sites and decreasing photon spectral width significantly enhance gate fidelity, achieving over 99% with 12 sites.

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Area of Science:

  • Quantum computing
  • Quantum optics
  • Atomic physics

Background:

  • Controlled-phase (cphase) gates are essential for quantum computation.
  • The use of cross-Kerr nonlinearities for cphase gate construction remains an open question.

Purpose of the Study:

  • To investigate the feasibility of constructing a cphase gate using atom-mediated cross-Kerr interactions.
  • To analyze the performance of the proposed gate in terms of fidelity.

Main Methods:

  • Proposal of a cphase gate utilizing discrete atom-mediated cross-Kerr interaction sites.
  • Employing counterpropagating photons to mediate interactions.
  • Simulating gate fidelity with varying numbers of interaction sites and photon spectral widths.

Main Results:

  • The average gate fidelity (F) improves with an increased number of interaction sites.
  • Decreasing the spectral width of the photons also enhances gate fidelity.
  • A fidelity exceeding 99% was achieved with 12 interaction sites.

Conclusions:

  • Atom-mediated cross-Kerr interactions offer a viable route for constructing high-fidelity cphase gates.
  • The proposed method provides a scalable approach to quantum gate implementation.
  • This work contributes to the development of practical quantum computing architectures.