Self phase-matched broadband amplification with a left-handed Josephson transmission line

  1. C. Kow,
  2. V. Podolskiy,
  3. and A. Kamal
Josephson Traveling Wave Parametric Amplifiers (J-TWPAs) are promising platforms for realizing broadband quantum-limited amplification of microwave signals. However, substantial gain
in such systems is attainable only when strict constraints on phase matching of the signal, idler and pump waves are satisfied — this is rendered particularly challenging in the presence of nonlinear effects, such as self- and cross-phase modulation, which scale with the intensity of propagating signals. In this work, we present a simple J-TWPA design based on `left-handed‘ (negative-index) nonlinear Josephson metamaterial, which realizes autonomous phase matching \emph{without} the need for any complicated circuit or dispersion engineering. The resultant efficiency of four-wave mixing process can implement gains in excess of 20 dB over few GHz bandwidths with much shorter lines than previous implementations. Furthermore, the autonomous nature of phase matching considerably simplifies the J-TWPA design than previous implementations based on `right-handed‘ (positive index) Josephson metamaterials, making the proposed architecture particularly appealing from a fabrication perspective. The left-handed JTL introduced here constitutes a new modality in distributed Josephson circuits, and forms a crucial piece of the unified framework that can be used to inform the optimal design and operation of broadband microwave amplifiers.

Strong parametric dispersive shifts in a statically decoupled multi-qubit cavity QED system

  1. T. Noh,
  2. Z. Xiao,
  3. K. Cicak,
  4. X. Y. Jin,
  5. E. Doucet,
  6. J. Teufel,
  7. J. Aumentado,
  8. L. C. G. Govia,
  9. L. Ranzani,
  10. A. Kamal,
  11. and R. W. Simmonds
Cavity quantum electrodynamics (QED) with in-situ tunable interactions is important for developing novel systems for quantum simulation and computing. The ability to tune the dispersive
shifts of a cavity QED system provides more functionality for performing either quantum measurements or logical manipulations. Here, we couple two transmon qubits to a lumped-element cavity through a shared dc-SQUID. Our design balances the mutual capacitive and inductive circuit components so that both qubits are highly decoupled from the cavity, offering protection from decoherence processes. We show that by parametrically driving the SQUID with an oscillating flux it is possible to independently tune the interactions between either of the qubits and the cavity dynamically. The strength and detuning of this cavity QED interaction can be fully controlled through the choice of the parametric pump frequency and amplitude. As a practical demonstration, we perform pulsed parametric dispersive readout of both qubits while statically decoupled from the cavity. The dispersive frequency shifts of the cavity mode follow the expected magnitude and sign based on simple theory that is supported by a more thorough theoretical investigation. This parametric approach creates a new tunable cavity QED framework for developing quantum information systems with various future applications, such as entanglement and error correction via multi-qubit parity readout, state and entanglement stabilization, and parametric logical gates.

The Flux Qubit Revisited

  1. F. Yan,
  2. S. Gustavsson,
  3. A. Kamal,
  4. J. Birenbaum,
  5. A. P. Sears,
  6. D. Hover,
  7. T.J. Gudmundsen,
  8. J.L. Yoder,
  9. T. P. Orlando,
  10. J. Clarke,
  11. A.J. Kerman,
  12. and W. D. Oliver
The scalable application of quantum information science will stand on reproducible and controllable high-coherence quantum bits (qubits). In this work, we revisit the design and fabrication
of the superconducting flux qubit, achieving a planar device with broad frequency tunability, strong anharmonicity, high reproducibility, and coherence times in excess of 40 us at its flux-insensitive point. Qubit relaxation times across 21 qubits of widely varying designs are consistently matched with a single model involving ohmic charge noise, quasiparticle fluctuations, resonator loss, and 1/f flux noise, a noise source previously considered primarily in the context of dephasing. We furthermore demonstrate that qubit dephasing at the flux-insensitive point is dominated by residual thermal photons in the readout resonator. The resulting photon shot noise is mitigated using a dynamical decoupling protocol, reaching T2 ~ 80 us , approximately the 2T1 limit. In addition to realizing a dramatically improved flux qubit, our results uniquely identify photon shot noise as limiting T2 in contemporary state-of-art qubits based on transverse qubit-resonator interaction.

Thermal and Residual Excited-State Population in a 3D Transmon Qubit

  1. X. Y. Jin,
  2. A. Kamal,
  3. A. P. Sears,
  4. T. Gudmundsen,
  5. D. Hover,
  6. J. Miloxi,
  7. R. Slattery,
  8. F. Yan,
  9. J. Yoder,
  10. T. P. Orlando,
  11. S. Gustavsson,
  12. and W. D. Oliver
We present a systematic study of the first excited-state population in a 3D transmon qubit mounted in a dilution refrigerator with a variable temperature. Using a modified version of
the protocol developed by Geerlings et al. [1], we observe the excited-state population to be consistent with a Maxwell-Boltzmann distribution, i.e., a qubit in thermal equilibrium with the refrigerator, over the temperature range 35-150 mK. Below 35 mK, the excited-state population saturates to 0.1%, near the resolution of our measurement. We verified this result using a flux qubit with ten-times stronger coupling to its readout resonator. We conclude that these qubits have effective temperature T_{eff} = 35 mK. Assuming T_{eff} is due solely to hot quasiparticles, the inferred qubit lifetime is 108 us and in plausible agreement with the measured 80 us.