Experimental realization of a cos(2φ) transmon qubit

  1. Erwan Roverc'h,
  2. Alvise Borgognoni,
  3. Marius Villiers,
  4. Kyrylo Gerashchenko,
  5. W. Clarke Smith,
  6. Christopher Wilson,
  7. Benoit Douçot,
  8. Alexandru Petrescu,
  9. Philippe Campagne-Ibarcq,
  10. and Zaki Leghtas
Superconducting circuits with embedded symmetries are good candidates to robustly protect quantum information from dominant error channels. The cos(2φ) qubit, consisting of an island
shunted to ground through a tunneling element that selectively transmits pairs of Cooper pairs, leverages charge-parity symmetry to protect from charge-induced errors. In this experiment, we observe a doublet of states of opposite Cooper-pair parity split by 13.6 MHz. Operating in a soft-transmon regime, this splitting is two orders of magnitude smaller than in previous implementations, pushing charge-induced losses well beyond the measured coherence times. Despite the low transition frequency, we demonstrate coherent qubit control, single-shot readout, and resolve quantum jumps. Charge protection of the qubit is evidenced by a 100−fold suppression of the island charge matrix element compared to the unprotected plasmon transition, placing dielectric loss limits above 10 ms. The measured T1=70 μs and Techo2=2.5 μs are instead limited by 1/f flux noise in the tunnelling element’s loop. This experiment shows that pushing Cooper-pair pairing in the transmon regime sets high limits on charge-induced losses while preserving coherent control and single-shot readout of the low-frequency qubit. We identify flux noise as the dominant remaining limitation, calling for gradiometric designs or novel 4e-tunneling elements.

Breakdown of the cross-Kerr scheme for Photon Counting

  1. Bixuan Fan,
  2. Anton F. Kockum,
  3. Joshua Combes,
  4. Göran Johansson,
  5. Io-chun Hoi,
  6. Christopher Wilson,
  7. Per Delsing,
  8. G. J. Milburn,
  9. and Thomas M. Stace
We show, in the context of single photon detection, that an atomic three-level model for a transmon in a transmission line does not support the predictions of the nonlinear polarisability
model known as the cross-Kerr effect. We show that the induced displacement of a probe in the presence or absence of a single photon in the signal field, cannot be resolved above the quantum noise in the probe. This strongly suggests that cross-Kerr media are not suitable for photon counting or related single photon applications. Our results are presented in the context of a transmon in a one dimensional microwave waveguide, but the conclusions also apply to optical systems.