Superconducting circuit protected by two-Cooper-pair tunneling

  1. W. C. Smith,
  2. A. Kou,
  3. X. Xiao,
  4. U. Vool,
  5. and M. H. Devoret
We present a protected superconducting qubit based on an effective circuit element that only allows pairs of Cooper pairs to tunnel. These dynamics give rise to a nearly degenerate
ground state manifold indexed by the parity of tunneled Cooper pairs. We show that, when the circuit element is shunted by a large capacitance, this manifold can be used as a logical qubit that we expect to be insensitive to multiple relaxation and dephasing mechanisms.

Gated conditional displacement readout of superconducting qubits

  1. S. Touzard,
  2. A. Kou,
  3. N. E. Frattini,
  4. V. V. Sivak,
  5. S. Puri,
  6. A. Grimm,
  7. L. Frunzio,
  8. S. Shankar,
  9. and M.H. Devoret
We have realized a new interaction between superconducting qubits and a readout cavity that results in the displacement of a coherent state in the cavity, conditioned on the state of
the qubit. This conditional state, when it reaches the cavity-following, phase-sensitive amplifier, matches its measured observable, namely the in-phase quadrature. In a setup where several qubits are coupled to the same readout resonator, we show it is possible to measure the state of a target qubit with minimal dephasing of the other qubits. Our results suggest novel directions for faster readout of superconducting qubits and implementations of bosonic quantum error-correcting codes.

Driving forbidden transitions in the fluxonium artificial atom

  1. U. Vool,
  2. A. Kou,
  3. W. C. Smith,
  4. N. E. Frattini,
  5. K. Serniak,
  6. P. Reinhold,
  7. I. M. Pop,
  8. S. Shankar,
  9. L. Frunzio,
  10. S. M. Girvin,
  11. and M. H. Devoret
Atomic systems display a rich variety of quantum dynamics due to the different possible symmetries obeyed by the atoms. These symmetries result in selection rules that have been essential
for the quantum control of atomic systems. Superconducting artificial atoms are mainly governed by parity symmetry. Its corresponding selection rule limits the types of quantum systems that can be built using electromagnetic circuits at their optimal coherence operation points („sweet spots“). Here, we use third-order nonlinear coupling between the artificial atom and its readout resonator to drive transitions forbidden by the parity selection rule for linear coupling to microwave radiation. A Lambda-type system emerges from these newly accessible transitions, implemented here in the fluxonium artificial atom coupled to its „antenna“ resonator. We demonstrate coherent manipulation of the fluxonium artificial atom at its sweet spot by stimulated Raman transitions. This type of transition enables the creation of new quantum operations, such as the control and readout of physically protected artificial atoms.

Simultaneous monitoring of fluxonium qubits in a waveguide

  1. A. Kou,
  2. W. C. Smith,
  3. U. Vool,
  4. I. M. Pop,
  5. K. M. Sliwa,
  6. M. H. Hatridge,
  7. L. Frunzio,
  8. and M. H. Devoret
Most quantum-error correcting codes assume that the decoherence of each physical qubit is independent of the decoherence of any other physical qubit. We can test the validity of this
assumption in an experimental setup where a microwave feedline couples to multiple qubits by examining correlations between the qubits. Here, we investigate the correlations between fluxonium qubits located in a single waveguide. Despite being in a wide-bandwidth electromagnetic environment, the qubits have measured relaxation times in excess of 100 us. We use cascaded Josephson parametric amplifiers to measure the quantum jumps of two fluxonium qubits simultaneously. No correlations are observed between the relaxation times of the two fluxonium qubits, which indicates that the sources of relaxation are local to each qubit. Our architecture can easily be scaled to monitor larger numbers of qubits.

A fluxonium-based artificial molecule with a tunable magnetic moment

  1. A. Kou,
  2. W. C. Smith,
  3. U. Vool,
  4. R. T. Brierley,
  5. H. Meier,
  6. L. Frunzio,
  7. S. M. Girvin,
  8. L. I. Glazman,
  9. and M. H. Devoret
Engineered quantum systems allow us to observe phenomena that are not easily accessible naturally. The LEGO-like nature of superconducting circuits makes them particularly suited for
building and coupling artificial atoms. Here, we introduce an artificial molecule, composed of two strongly coupled fluxonium atoms, which possesses a tunable magnetic moment. Using an applied external flux, one can tune the molecule between two regimes: one in which the ground-excited state manifold has a magnetic dipole moment and one in which the ground-excited state manifold has only a magnetic quadrupole moment. By varying the applied external flux, we find the coherence of the molecule to be limited by local flux noise. The ability to engineer and control artificial molecules paves the way for building more complex circuits for protected qubits and quantum simulation.

Fluxonium-resonator system in the nonperturbative regime

  1. W. C. Smith,
  2. A. Kou,
  3. U. Vool,
  4. I. M. Pop,
  5. L. Frunzio,
  6. R. J. Schoelkopf,
  7. and M. H. Devoret
We present a method for calculating the low-energy spectra of superconducting circuits with arbitrarily strong anharmonicity and coupling. As an example, we numerically diagonalize
the Hamiltonian of a fluxonium qubit inductively coupled to a readout resonator. Our method treats both the anharmonicity of the Hamiltonian and the coupling between qubit and readout modes exactly. Calculated spectra are compared to measured spectroscopy data for this fluxonium-resonator system. We observe excellent quantitative agreement between theory and experiment that is not possible with a purely perturbative approach.