Coherent manipulation of an Andreev spin qubit

  1. M. Hays,
  2. V. Fatemi,
  3. D. Bouman,
  4. J. Cerrillo,
  5. S. Diamond,
  6. K. Serniak,
  7. T. Connolly,
  8. P. Krogstrup,
  9. J. Nygård,
  10. A. Levy Yeyati,
  11. A. Geresdi,
  12. and M. H. Devoret
Two promising architectures for solid-state quantum information processing are electron spins in semiconductor quantum dots and the collective electromagnetic modes of superconducting
circuits. In some aspects, these two platforms are dual to one another: superconducting qubits are more easily coupled but are relatively large among quantum devices (∼mm), while electrostatically-confined electron spins are spatially compact (∼μm) but more complex to link. Here we combine beneficial aspects of both platforms in the Andreev spin qubit: the spin degree of freedom of an electronic quasiparticle trapped in the supercurrent-carrying Andreev levels of a Josephson semiconductor nanowire. We demonstrate coherent spin manipulation by combining single-shot circuit-QED readout and spin-flipping Raman transitions, finding a spin-flip time TS=17 μs and a spin coherence time T2E=52 ns. These results herald a new spin qubit with supercurrent-based circuit-QED integration and further our understanding and control of Andreev levels — the parent states of Majorana zero modes — in semiconductor-superconductor heterostructures.

Magnetic-Field-Compatible Superconducting Transmon Qubit

  1. A. Kringhøj,
  2. T. W. Larsen,
  3. O. Erlandsson,
  4. W. Uilhoorn,
  5. J. G. Kroll,
  6. M. Hesselberg,
  7. R. P. G. McNeil,
  8. P. Krogstrup,
  9. L. Casparis,
  10. C. M. Marcus,
  11. and K. D. Petersson
We present a hybrid semiconductor-based superconducting qubit device which remains coherent at magnetic fields up to 1 T. The qubit transition frequency exhibits periodic oscillations
with magnetic field, consistent with interference effects due to the magnetic flux threading the cross section of the proximitized semiconductor nanowire junction. As induced superconductivity revives, additional coherent modes emerge at high magnetic fields, which we attribute to the interaction of the qubit and low-energy Andreev states.

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.

A Parity-Protected Superconductor-Semiconductor Qubit

  1. T. W. Larsen,
  2. M.E. Gershenson,
  3. L. Casparis,
  4. A. Kringhøj,
  5. N. J. Pearson,
  6. R. P. G. McNeil,
  7. F. Kuemmeth,
  8. P. Krogstrup,
  9. K. D. Petersson,
  10. and C. M. Marcus
Coherence of superconducting qubits can be improved by implementing designs that protect the parity of Cooper pairs on superconducting islands. Here, we introduce a parity-protected
qubit based on voltage-controlled semiconductor nanowire Josephson junctions, taking advantage of the higher harmonic content in the energy-phase relation of few-channel junctions. A symmetric interferometer formed by two such junctions, gate-tuned into balance and frustrated by a half-quantum of applied flux, yields a cos(2{\phi}) Josephson element, reflecting coherent transport of pairs of Cooper pairs. We demonstrate that relaxation of the qubit can be suppressed ten-fold by tuning into the protected regime.

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.

Continuous monitoring of a trapped, superconducting spin

  1. M. Hays,
  2. V. Fatemi,
  3. K. Serniak,
  4. D. Bouman,
  5. S. Diamond,
  6. G. de Lange,
  7. P. Krogstrup,
  8. J. Nygård,
  9. A. Geresdi,
  10. and M. H. Devoret
Readout and control of fermionic spins in solid-state systems are key primitives of quantum information processing and microscopic magnetic sensing. The highly localized nature of most
fermionic spins decouples them from parasitic degrees of freedom, but makes long-range interoperability difficult to achieve. In light of this challenge, an active effort is underway to integrate fermionic spins with circuit quantum electrodynamics (cQED), which was originally developed in the field of superconducting qubits to achieve single-shot, quantum-non-demolition (QND) measurements and long-range couplings. However, single-shot readout of an individual spin with cQED has remained elusive due to the difficulty of coupling a resonator to a particle trapped by a charge-confining potential. Here we demonstrate the first single-shot, cQED readout of a single spin. In our novel implementation, the spin is that of an individual superconducting quasiparticle trapped in the Andreev levels of a semiconductor nanowire Josephson element. Due to a spin-orbit interaction inside the nanowire, this „superconducting spin“ directly determines the flow of supercurrent through the element. We harnessed this spin-dependent supercurrent to achieve both a zero-field spin splitting as well as a long-range interaction between the quasiparticle and a superconducting microwave resonator. Owing to the strength of this interaction in our device, measuring the resultant spin-dependent resonator frequency yielded QND spin readout with 92% fidelity in 1.9 μs and allowed us to monitor the quasiparticle’s spin in real time. These results pave the way for new „fermionic cQED“ devices: superconducting spin qubits operating at zero magnetic field, devices in which the spin has enhanced governance over the circuit, and time-domain measurements of Majorana modes.

Voltage-Controlled Superconducting Quantum Bus

  1. L. Casparis,
  2. N. J. Pearson,
  3. A. Kringhøj,
  4. T. W. Larsen,
  5. F. Kuemmeth,
  6. J. Nygård,
  7. P. Krogstrup,
  8. K. D. Petersson,
  9. and C. M. Marcus
We demonstrate the ability of an epitaxial semiconductor-superconductor nanowire to serve as a field-effect switch to tune a superconducting cavity. Two superconducting gatemon qubits
are coupled to the cavity, which acts as a quantum bus. Using a gate voltage to control the superconducting switch yields up to a factor of 8 change in qubit-qubit coupling between the on and off states without detrimental effect on qubit coherence. High-bandwidth operation of the coupling switch on nanosecond timescales degrades qubit coherence.

Evolution of Nanowire Transmons and Their Quantum Coherence in Magnetic Field

  1. F. Luthi,
  2. T. Stavenga,
  3. O. W. Enzing,
  4. A. Bruno,
  5. C. Dickel,
  6. N. K. Langford,
  7. M. A. Rol,
  8. T. S. Jespersen,
  9. J. Nygard,
  10. P. Krogstrup,
  11. and L. DiCarlo
We present an experimental study of nanowire transmons at zero and applied in-plane magnetic field. With Josephson non-linearities provided by the nanowires, our qubits operate at higher
magnetic fields than standard transmons. Nanowire transmons exhibit coherence up to 70 mT, where the induced superconducting gap in the nanowire closes. We demonstrate that on-chip charge noise coupling to the Josephson energy plays a dominant role in the qubit dephasing. This takes the form of strongly-coupled two-level systems switching on 100 ms timescales and a more weakly coupled background producing 1/f noise. Several observations, including the field dependence of qubit energy relaxation and dephasing, are not fully understood, inviting further experimental investigation and theory. Using nanowires with a thinner superconducting shell will enable operation of these circuits up to 0.5 T, a regime relevant for topological quantum computation.

Anharmonicity of a Gatemon Qubit with a Few-Mode Josephson Junction

  1. A. Kringhøj,
  2. L. Casparis,
  3. M. Hell,
  4. T. W. Larsen,
  5. F. Kuemmeth,
  6. M. Leijnse,
  7. K. Flensberg,
  8. P. Krogstrup,
  9. J. Nygård,
  10. K. D. Petersson,
  11. and C. M. Marcus
Coherent operation of gate-voltage-controlled hybrid transmon qubits (gatemons) based on semiconductor nanowires was recently demonstrated. Here we experimentally investigate the anharmonicity
in epitaxial InAs-Al Josephson junctions, a key parameter for their use as a qubit. Anharmonicity is found to be reduced by roughly a factor of two compared to conventional metallic junctions, and dependent on gate voltage. Experimental results are consistent with a theoretical model, indicating that Josephson coupling is mediated by a small number of highly transmitting modes in the semiconductor junction.