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Breakdown of the cross-Kerr scheme for photon counting.

Bixuan Fan1, Anton F Kockum, Joshua Combes

  • 1Center for Engineered Quantum Systems, School of Mathematics and Physics, The University of Queensland, St Lucia, Queensland 4072, Australia.

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Summary

The cross-Kerr effect in transmon systems does not support single-photon detection due to quantum noise limitations. This finding indicates that cross-Kerr media are unsuitable for photon counting applications.

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Area of Science:

  • Quantum optics
  • Superconducting circuits
  • Quantum information science

Background:

  • The cross-Kerr effect, a nonlinear optical phenomenon, is theoretically proposed for quantum information processing.
  • Transmon qubits are promising candidates for implementing quantum nonlinearities in microwave circuits.

Purpose of the Study:

  • To investigate the feasibility of using the cross-Kerr effect in a transmon system for single-photon detection.
  • To determine if the nonlinear polarizability model accurately predicts transmon behavior in the context of single-photon detection.

Main Methods:

  • An atomic three-level model for a transmon coupled to a transmission line was analyzed.
  • The induced displacement of a probe field in the presence and absence of a signal photon was theoretically calculated.
  • The signal-to-noise ratio was assessed to determine the resolvability of the photon-induced displacement above quantum noise.

Main Results:

  • The study found that the predicted nonlinear response of the transmon does not align with the cross-Kerr effect model.
  • The photon-induced displacement of the probe field is indistinguishable from quantum noise.
  • The signal-to-noise ratio is insufficient for reliable single-photon detection.

Conclusions:

  • The cross-Kerr effect in transmon systems is not suitable for single-photon detection.
  • Quantum noise fundamentally limits the application of this effect for photon counting.
  • The findings have implications for both microwave and optical quantum systems.