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.

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.

A Semiconductor Nanowire-Based Superconducting Qubit

  1. T. W. Larsen,
  2. K. D. Petersson,
  3. F. Kuemmeth,
  4. T. S. Jespersen,
  5. P. Krogstrup,
  6. J. Nygard,
  7. and C. M. Marcus
We introduce a hybrid qubit based on a semiconductor nanowire with an epitaxially grown superconductor layer. Josephson energy of the transmon-like device („gatemon“) is
controlled by an electrostatic gate that depletes carriers in a semiconducting weak link region. Strong coupling to an on-chip microwave cavity and coherent qubit control via gate voltage pulses is demonstrated, yielding reasonably long relaxation times (0.8 {\mu}s) and dephasing times (1 {\mu}s), exceeding gate operation times by two orders of magnitude, in these first-generation devices. Because qubit control relies on voltages rather than fluxes, dissipation in resistive control lines is reduced, screening reduces crosstalk, and the absence of flux control allows operation in a magnetic field, relevant for topological quantum information.