Dissipative stabilization of squeezing beyond \SI{3}{dB} in a microwave mode

  1. R. Dassonneville,
  2. R. Assouly,
  3. T. Peronnin,
  4. A. A. Clerk,
  5. A. Bienfait,
  6. and B. Huard
While a propagating state of light can be generated with arbitrary squeezing by pumping a parametric resonator, the intra-resonator state is limited to 3 dB of squeezing. Here, we implement
a reservoir engineering method to surpass this limit using superconducting circuits. Two-tone pumping of a three-wave-mixing element implements an effective coupling to a squeezed bath which stabilizes a squeezed state inside the resonator. Using an ancillary superconducting qubit as a probe allows us to perform a direct Wigner tomography of the intra-resonator state. The raw measurement provides a lower bound on the squeezing at about 6.7±0.2 dB below the zero-point level. Further, we show how to correct for resonator evolution during the Wigner tomography and obtain a squeezing as high as 8.2±0.8 dB. Moreover, this level of squeezing is achieved with a purity of −0.4±0.4 dB.

Measurements of a quantum bulk acoustic resonator using a superconducting qubit

  1. M.-H. Chou,
  2. É. Dumur,
  3. Y. P. Zhong,
  4. G. A. Peairs,
  5. A. Bienfait,
  6. H.-S. Chang,
  7. C. R. Conner,
  8. J. Grebel,
  9. R. G. Povey,
  10. K. J. Satzinger,
  11. and A. N. Cleland
Phonon modes at microwave frequencies can be cooled to their quantum ground state using conventional cryogenic refrigeration, providing a convenient way to study and manipulate quantum
states at the single phonon level. Phonons are of particular interest because mechanical deformations can mediate interactions with a wide range of different quantum systems, including solid-state defects, superconducting qubits, as well as optical photons when using optomechanically-active constructs. Phonons thus hold promise for quantum-focused applications as diverse as sensing, information processing, and communication. Here, we describe a piezoelectric quantum bulk acoustic resonator (QBAR) with a 4.88 GHz resonant frequency that at cryogenic temperatures displays large electromechanical coupling strength combined with a high intrinsic mechanical quality factor Qi≈4.3×104. Using a recently-developed flip-chip technique, we couple this QBAR resonator to a superconducting qubit on a separate die and demonstrate quantum control of the mechanics in the coupled system. This approach promises a facile and flexible experimental approach to quantum acoustics and hybrid quantum systems.

Phonon-mediated quantum state transfer and remote qubit entanglement

  1. A. Bienfait,
  2. K. J. Satzinger,
  3. Y. P. Zhong,
  4. H.-S. Chang,
  5. M.-H. Chou,
  6. C. R. Conner,
  7. E. Dumur,
  8. J. Grebel,
  9. G. A. Peairs,
  10. R. G. Povey,
  11. and A. N. Cleland
Phonons, and in particular surface acoustic wave phonons, have been proposed as a means to coherently couple distant solid-state quantum systems. Recent experiments have shown that
superconducting qubits can control and detect individual phonons in a resonant structure, enabling the coherent generation and measurement of complex stationary phonon states. Here, we report the deterministic emission and capture of itinerant surface acoustic wave phonons, enabling the quantum entanglement of two superconducting qubits. Using a 2 mm-long acoustic quantum communication channel, equivalent to a 500 ns delay line, we demonstrate the emission and re-capture of a phonon by one qubit; quantum state transfer between two qubits with a 67\% efficiency; and, by partial transfer of a phonon between two qubits, generation of an entangled Bell pair with a fidelity of FB=84±1 %

Violating Bell’s inequality with remotely-connected superconducting qubits

  1. Y. P. Zhong,
  2. H.-S. Chang,
  3. K. J. Satzinger,
  4. M.-H. Chou,
  5. A. Bienfait,
  6. C. R. Conner,
  7. É. Dumur,
  8. J. Grebel,
  9. G. A. Peairs,
  10. R. G. Povey,
  11. D.I. Schuster,
  12. and A. N. Cleland
Quantum communication relies on the efficient generation of entanglement between remote quantum nodes, due to entanglement’s key role in achieving and verifying secure communications.
Remote entanglement has been realized using a number of different probabilistic schemes, but deterministic remote entanglement has only recently been demonstrated, using a variety of superconducting circuit approaches. However, the deterministic violation of a Bell inequality, a strong measure of quantum correlation, has not to date been demonstrated in a superconducting quantum communication architecture, in part because achieving sufficiently strong correlation requires fast and accurate control of the emission and capture of the entangling photons. Here we present a simple and scalable architecture for achieving this benchmark result in a superconducting system.

Magnetic resonance with squeezed microwaves

  1. A. Bienfait,
  2. P. Campagne-Ibarcq,
  3. A. Holm-Kiilerich,
  4. X. Zhou,
  5. S. Probst,
  6. J.J. Pla,
  7. T. Schenkel,
  8. D. Vion,
  9. D. Esteve,
  10. J.J.L. Morton,
  11. K. Moelmer,
  12. and P. Bertet
Although vacuum fluctuations appear to represent a fundamental limit to the sensitivity of electromagnetic field measurements, it is possible to overcome them by using so-called squeezed
states. In such states, the noise in one field quadrature is reduced below the vacuum level while the other quadrature becomes correspondingly more noisy, as required by Heisenberg’s uncertainty principle. Squeezed optical fields have been proposed and demonstrated to enhance the sensitivity of interferometric measurements beyond the photon shot-noise limit, with applications in gravitational wave detection. They have also been used to increase the sensitivity of atomic absorption spectroscopy, imaging, atom-based magnetometry, and particle tracking in biological systems. At microwave frequencies, cryogenic temperatures are required for the electromagnetic field to be in its vacuum state. Squeezed microwaves have been produced, used for fundamental studies of light-matter interaction and for enhanced sensing of a mechanical resonator, and proposed to enhance the sensitivity of the readout of superconducting qubits. Here we report the use of squeezed microwave fields to enhance the sensitivity of magnetic resonance spectroscopy of an ensemble of electronic spins. Our scheme consists in sending a squeezed vacuum state to the input of a cavity containing the spins while they are emitting an echo, with the phase of the squeezed quadrature aligned with the phase of the echo. We demonstrate a total noise reduction of 1.2\,dB at the spectrometer output due to the squeezing. These results provide a motivation to examine the application of the full arsenal of quantum metrology to magnetic resonance detection.

Storage and retrieval of microwave fields at the single-photon level in a spin ensemble

  1. C. Grezes,
  2. B. Julsgaard,
  3. Y. Kubo,
  4. W. L. Ma,
  5. M. Stern,
  6. A. Bienfait,
  7. K. Nakamura,
  8. J. Isoya,
  9. S. Onoda,
  10. T. Ohshima,
  11. V. Jacques,
  12. D. Vion,
  13. D. Esteve,
  14. R. B. Liu,
  15. K. Mølmer,
  16. and P. Bertet
We report the storage of microwave pulses at the single-photon level in a spin-ensemble memory consisting of 1010 NV centers in a diamond crystal coupled to a superconducting LC resonator.
The energy of the signal, retrieved 100μs later by spin-echo techniques, reaches 0.3% of the energy absorbed by the spins, and this storage efficiency is quantitatively accounted for by simulations. This figure of merit is sufficient to envision first implementations of a quantum memory for superconducting qubits.