One hundred second bit-flip time in a two-photon dissipative oscillator

  1. C. Berdou,
  2. A. Murani,
  3. U. Reglade,
  4. W. C. Smith,
  5. M. Villiers,
  6. J. Palomo,
  7. M. Rosticher,
  8. A. Denis,
  9. P. Morfin,
  10. M. Delbecq,
  11. T. Kontos,
  12. N. Pankratova,
  13. F. Rautschke,
  14. T. Peronnin,
  15. L.-A. Sellem,
  16. P. Rouchon,
  17. A. Sarlette,
  18. M. Mirrahimi,
  19. P. Campagne-Ibarcq,
  20. S. Jezouin,
  21. R. Lescanne,
  22. and Z. Leghtas
Current implementations of quantum bits (qubits) continue to undergo too many errors to be scaled into useful quantum machines. An emerging strategy is to encode quantum information
in the two meta-stable pointer states of an oscillator exchanging pairs of photons with its environment, a mechanism shown to provide stability without inducing decoherence. Adding photons in these states increases their separation, and macroscopic bit-flip times are expected even for a handful of photons, a range suitable to implement a qubit. However, previous experimental realizations have saturated in the millisecond range. In this work, we aim for the maximum bit-flip time we could achieve in a two-photon dissipative oscillator. To this end, we design a Josephson circuit in a regime that circumvents all suspected dynamical instabilities, and employ a minimally invasive fluorescence detection tool, at the cost of a two-photon exchange rate dominated by single-photon loss. We attain bit-flip times of the order of 100 seconds for states pinned by two-photon dissipation and containing about 40 photons. This experiment lays a solid foundation from which the two-photon exchange rate can be gradually increased, thus gaining access to the preparation and measurement of quantum superposition states, and pursuing the route towards a logical qubit with built-in bit-flip protection.

Dynamics of a qubit while simultaneously monitoring its relaxation and dephasing

  1. Q. Ficheux,
  2. S. Jezouin,
  3. Z. Leghtas,
  4. and B. Huard
Decoherence originates from the leakage of quantum information into unmonitored degrees of freedom. For a qubit the two main decoherence channels are relaxation and dephasing. Here,
we report an experiment on a superconducting qubit where we retrieve a significant part of the lost information in both of these channels. We demonstrate that raw averaging the corresponding measurement records provides a full quantum tomography of the qubit state where all three components of the effective spin-1/2 are simultaneously measured. From single realizations of the experiment, it is possible to infer the quantum trajectories followed by the qubit state conditioned on relaxation and/or dephasing channels. The incompatibility between these quantum measurements of the qubit leads to observable consequences in the statistics of quantum states. The high level of controllability of superconducting circuits enables us to explore many regimes from Zeno effect to underdamped Rabi oscillations depending on the relative strengths of driving, dephasing and relaxation.

Observing a quantum Maxwell demon at work

  1. N. Cottet,
  2. S. Jezouin,
  3. L. Bretheau,
  4. P. Campagne-Ibarcq,
  5. Q. Ficheux,
  6. J. Anders,
  7. A. Auffèves,
  8. R. Azouit,
  9. P. Rouchon,
  10. and B. Huard
In apparent contradiction to the laws of thermodynamics, Maxwell’s demon is able to cyclically extract work from a system in contact with a thermal bath exploiting the information
about its microstate. The resolution of this paradox required the insight that an intimate relationship exists between information and thermodynamics. Here, we realize a Maxwell demon experiment that tracks the state of each constituent both in the classical and quantum regimes. The demon is a microwave cavity that encodes quantum information about a superconducting qubit and converts information into work by powering up a propagating microwave pulse by stimulated emission. Thanks to the high level of control of superconducting circuits, we directly measure the extracted work and quantify the entropy remaining in the demon’s memory. This experiment provides an enlightening illustration of the interplay of thermodynamics with quantum information.

Quantum simulation of ultrastrongly coupled bosonic modes using superconducting circuits

  1. S. Fedortchenko,
  2. S. Felicetti,
  3. D. Marković,
  4. S. Jezouin,
  5. A. Keller,
  6. T. Coudreau,
  7. B. Huard,
  8. and P. Milman
The ground state of a pair of ultrastrongly coupled bosonic modes is predicted to be a two-mode squeezed vacuum. However, the corresponding quantum correlations are currently unobservable
in condensed matter where such a coupling can be reached, since it cannot be extracted from these systems. Here, we show that superconducting circuits can be used to perform an analog simulation of a system of two bosonic modes in regimes ranging from strong to ultrastrong coupling. More importantly, our quantum simulation set-up enables to detect output excitations that are related to the ground state properties of the bosonic modes. We compute the emission spectra of this physical system and show that the produced state presents single and two-mode squeezing simultaneously.

Using Spontaneous Emission of a Qubit as a Resource for Feedback Control

  1. P. Campagne-Ibarcq,
  2. S. Jezouin,
  3. N. Cottet,
  4. P. Six,
  5. L. Bretheau,
  6. F. Mallet,
  7. A. Sarlette,
  8. P. Rouchon,
  9. and B. Huard
Persistent control of a transmon qubit is performed by a feedback protocol based on continuous weak measurement of its fluorescence. By driving the qubit and cavity with microwave signals
whose amplitudes depend linearly on the instantaneous values of the quadratures of the measured fluorescence field, we demonstrate the permanent stabilization of the qubit in any direction of the Bloch sphere. Using a Josephson mixer as a phase-preserving amplifier, it was possible to reach a total measurement efficiency η=35%, leading to a maximum of 59% of excitation and 44% of coherence for the stabilized states. The experiment demonstrates multiple-input multiple-output (MIMO) analog markovian feedback in the quantum regime.