Andreev Modes from Phase Winding in a Full-shell Nanowire-based Transmon

  1. A. Kringhøj,
  2. G. W. Winkler,
  3. T. W. Larsen,
  4. D. Sabonis,
  5. O. Erlandsson,
  6. P. Krogstrup,
  7. B. van Heck,
  8. K. D. Petersson,
  9. and C. M. Marcus
We investigate transmon qubits made from semiconductor nanowires with a fully surrounding superconducting shell. In the regime of reentrant superconductivity associated with the destructive
Little-Parks effect, numerous coherent transitions are observed in the first reentrant lobe, where the shell carries 2{\pi} winding of superconducting phase, and are absent in the zeroth lobe. As junction density was increased by gate voltage, qubit coherence was suppressed then lost in the first lobe. These observations and numerical simulations highlight the role of winding-induced Andreev states in the junction.

Suppressed Charge Dispersion via Resonant Tunneling in a Single-Channel Transmon

  1. A. Kringhøj,
  2. B. van Heck,
  3. T. W. Larsen,
  4. O. Erlandsson,
  5. D. Sabonis,
  6. P. Krogstrup,
  7. L. Casparis,
  8. K. D. Petersson,
  9. and C. M. Marcus
We demonstrate strong suppression of charge dispersion in a semiconductor-based transmon qubit across Josephson resonances associated with a quantum dot in the junction. On resonance,
dispersion is drastically reduced compared to conventional transmons with corresponding Josephson and charging energies. We develop a model of qubit dispersion for a single-channel resonance, which is in quantitative agreement with experimental data.

Controlled DC Monitoring of a Superconducting Qubit

  1. A. Kringhøj T. W. Larsen,
  2. B. van Heck,
  3. D. Sabonis,
  4. O. Erlandsson,
  5. I. Petkovic,
  6. D. I. Pikulin,
  7. P. Krogstrup,
  8. K. D. Petersson,
  9. and C. M. Marcus
Creating a transmon qubit using semiconductor-superconductor hybrid materials not only provides electrostatic control of the qubit frequency, it also allows parts of the circuit to
be electrically connected and disconnected in situ by operating a semiconductor region of the device as a field-effect transistor (FET). Here, we exploit this feature to compare in the same device characteristics of the qubit, such as frequency and relaxation time, with related transport properties such as critical supercurrent and normal-state resistance. Gradually opening the FET to the monitoring circuit allows the influence of weak-to-strong DC monitoring of a live qubit to be measured. A model of this influence yields excellent agreement with experiment, demonstrating a relaxation rate mediated by a gate-controlled environmental coupling.

Realization of microwave quantum circuits using hybrid superconducting-semiconducting nanowire Josephson elements

  1. G. de Lange,
  2. B. van Heck,
  3. A. Bruno,
  4. D. J. van Woerkom,
  5. A. Geresdi,
  6. S. R. Plissard,
  7. E. P. A. M. Bakkers,
  8. A. R. Akhmerov,
  9. and L. DiCarlo
We report the realization of quantum microwave circuits using hybrid superconductor-semiconductor Josephson elements comprised of InAs nanowires contacted by NbTiN. Capacitively-shunted
single elements behave as transmon qubits with electrically tunable transition frequencies. Two-element circuits also exhibit transmon-like behavior near zero applied flux, but behave as flux qubits at half the flux quantum, where non-sinusoidal current-phase relations in the elements produce a double-well Josephson potential. These hybrid Josephson elements are promising for applications requiring microwave superconducting circuits operating in magnetic field.

Minimal circuit for a flux-controlled Majorana qubit in a quantum spin-Hall insulator

  1. B. van Heck,
  2. T. Hyart,
  3. and C. W. J. Beenakker
We construct a minimal circuit, based on the top-transmon design, to rotate a qubit formed out of four Majorana zero-modes at the edge of a two-dimensional topological insulator. Unlike
braiding operations, generic rotations have no topological protection, but they do allow for a full characterization of the coherence times of the Majorana qubit. The rotation is controlled by variation of the flux through a pair of split Josephson junctions in a Cooper pair box, without any need to adjust gate voltages. The Rabi oscillations of the Majorana qubit can be monitored via oscillations in the resonance frequency of the microwave cavity that encloses the Cooper pair box.