Single electron-spin-resonance detection by microwave photon counting

  1. Zhiren Wang,
  2. Léo Balembois,
  3. Milos Rančić,
  4. Eric Billaud,
  5. Marianne Le Dantec,
  6. Alban Ferrier,
  7. Philippe Goldner,
  8. Sylvain Bertaina,
  9. Thierry Chanelière,
  10. Daniel Estève,
  11. Denis Vion,
  12. Patrice Bertet,
  13. and Emmanuel Flurin
Electron spin resonance (ESR) spectroscopy is the method of choice for characterizing paramagnetic impurities, with applications ranging from chemistry to quantum computing, but it
gives access only to ensemble-averaged quantities due to its limited signal-to-noise ratio. Single-electron-spin sensitivity has however been reached using spin-dependent photoluminescence, transport measurements, and scanning-probe techniques. These methods are system-specific or sensitive only in a small detection volume, so that practical single spin detection remains an open challenge. Here, we demonstrate single electron magnetic resonance by spin fluorescence detection, using a microwave photon counter at cryogenic temperatures. We detect individual paramagnetic erbium ions in a scheelite crystal coupled to a high-quality factor planar superconducting resonator to enhance their radiative decay rate, with a signal-to-noise ratio of 1.9 in one second integration time. The fluorescence signal shows anti-bunching, proving that it comes from individual emitters. Coherence times up to 3 ms are measured, limited by the spin radiative lifetime. The method has the potential to apply to arbitrary paramagnetic species with long enough non-radiative relaxation time, and allows single-spin detection in a volume as large as the resonator magnetic mode volume ( 10 um^3 in the present experiment), orders of magnitude larger than other single-spin detection techniques. As such, it may find applications in magnetic resonance and quantum computing.

Manipulating Fock states of a harmonic oscillator while preserving its linearity

  1. Kristinn Juliusson,
  2. Simon Bernon,
  3. Xin Zhou,
  4. Vivien Schmitt,
  5. Hélène le Sueur,
  6. Patrice Bertet,
  7. Denis Vion,
  8. Mazyar Mirahimi,
  9. Pierre Rouchon,
  10. and Daniel Esteve
We present a new scheme for controlling the quantum state of a harmonic oscillator by coupling it to an anharmonic multilevel system (MLS) with first to second excited state transition
frequency on-resonance with the oscillator. In this scheme that we call „ef-resonant“, the spurious oscillator Kerr non-linearity inherited from the MLS is very small, while its Fock states can still be selectively addressed via an MLS transition at a frequency that depends on the number of photons. We implement this concept in a circuit-QED setup with a microwave 3D cavity (the oscillator, with frequency 6.4 GHz and quality factor QO=2E-6) embedding a frequency tunable transmon qubit (the MLS). We characterize the system spectroscopically and demonstrate selective addressing of Fock states and a Kerr non-linearity below 350 Hz. At times much longer than the transmon coherence times, a non-linear cavity response with driving power is also observed and explained.

Coupling a single Nitrogen-Vacancy center to a superconducting flux qubit in the far off resonance regime

  1. Tom Douce,
  2. Michael Stern,
  3. Nicim Zagury,
  4. Patrice Bertet,
  5. and Pérola Milman
We present a theoretical proposal to couple a single Nitrogen-Vacancy (NV) center to a superconducting flux qubit (FQ) in the regime where both systems are off resonance. The coupling
between both quantum devices is achieved through the strong driving of the flux qubit by a classical microwave field that creates dressed states with an experimentally controlled characteristic frequency. We discuss several applications such as controlling the NV center’s state by manipulation of the flux qubit, performing the NV center full tomography and using the NV center as a quantum memory. The effect of decoherence and its consequences to the proposed applications are also analyzed. Our results provide a theoretical framework describing a promising hybrid system for quantum information processing, which combines the advantages of fast manipulation and long coherence times.

Flux Qubits in Three-Dimensional Circuit-QED Architecture

  1. Michael Stern,
  2. Yuimaru Kubo,
  3. Cecile Grezes,
  4. Audrey Bienfait,
  5. Denis Vion,
  6. Daniel Esteve,
  7. and Patrice Bertet
In this work, we present measurements of superconducting flux qubits embedded in a three dimensional copper cavity. The qubits were fabricated on a sapphire substrate and were measured
by coupling them inductively to an on-chip superconducting resonator located in the middle of the cavity. At their flux-insensitive point, all measured qubits reach an intrisic energy relaxation time comprised between 6 and 20 {\mu}s and a Ramsey dephasing time between 2 and 10 {\mu}s, a significant improvement over previous work.

Quantum memory for microwave photons in an inhomogeneously broadened spin ensemble

  1. Brian Julsgaard,
  2. Cécile Grezes,
  3. Patrice Bertet,
  4. and Klaus Mølmer
We propose a multi-mode quantum memory protocol able to store the quantum state of the field in a microwave resonator into an ensemble of electronic spins. The stored information is
protected against inhomogeneous broadening of the spin ensemble by spin-echo techniques resulting in memory times orders of magnitude longer than previously achieved. By calculating the evolution of the first and second moments of the spin-cavity system variables for realistic experimental parameters, we show that a memory based on NV center spins in diamond can store a qubit encoded on the |0> and |1> Fock states of the field with 80% fidelity.