Quantum Zeno effect in the strong measurement regime of circuit quantum electrodynamics

  1. D. H. Slichter,
  2. C. Müller,
  3. R. Vijay,
  4. S. J. Weber,
  5. A. Blais,
  6. and I. Siddiqi
We observe the quantum Zeno effect — where the act of measurement slows the rate of quantum state transitions — in a superconducting qubit using linear circuit quantum electrodynamics
readout and a near-quantum-limited following amplifier. Under simultaneous strong measurement and qubit drive, the qubit undergoes a series of quantum jumps between states. These jumps are visible in the experimental measurement record and are analyzed using maximum likelihood estimation to determine qubit transition rates. The observed rates agree with both analytical predictions and numerical simulations. The analysis methods are suitable for processing general noisy random telegraph signals

Measurement-induced qubit state mixing in circuit QED from up-converted dephasing noise

  1. D. H. Slichter,
  2. R. Vijay,
  3. S. J. Weber,
  4. S. Boutin,
  5. M. Boissonneault,
  6. J. M. Gambetta,
  7. A. Blais,
  8. and I. Siddiqi
We observe measurement-induced qubit state mixing in a transmon qubit dispersively coupled to a planar readout cavity. Our results indicate that dephasing noise at the qubit-readout
detuning frequency is up-converted by readout photons to cause spurious qubit state transitions, thus limiting the nondemolition character of the readout. Furthermore, we use the qubit transition rate as a tool to extract an equivalent flux noise spectral density at f ~ 1 GHz and find agreement with values extrapolated from a $1/f^alpha$ fit to the measured flux noise spectral density below 1 Hz.

Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations

  1. R. Vijay,
  2. C. Macklin,
  3. D. H. Slichter,
  4. S. J. Weber,
  5. K. W. Murch,
  6. R. Naik,
  7. A. N. Korotkov,
  8. and I. Siddiqi
The act of measurement bridges the quantum and classical worlds by projecting a superposition of possible states into a single, albeit probabilistic, outcome. The time-scale of this
„instantaneous“ process can be stretched using weak measurements so that it takes the form of a gradual random walk towards a final state. Remarkably, the interim measurement record is sufficient to continuously track and steer the quantum state using feedback. We monitor the dynamics of a resonantly driven quantum two-level system — a superconducting quantum bit –using a near-noiseless parametric amplifier. The high-fidelity measurement output is used to actively stabilize the phase of Rabi oscillations, enabling them to persist indefinitely. This new functionality shows promise for fighting decoherence and defines a path for continuous quantum error correction.

Heralded state preparation in a superconducting qubit

  1. J. E. Johnson,
  2. C. Macklin,
  3. D. H. Slichter,
  4. R. Vijay,
  5. E. B. Weingarten,
  6. John Clarke,
  7. and I. Siddiqi
We demonstrate high-fidelity, quantum nondemolition, single-shot readout of a superconducting flux qubit in which the pointer state distributions can be resolved to below one part in
1000. In the weak excitation regime, continuous measurement permits the use of heralding to ensure initialization to a fiducial state, such as the ground state. This procedure boosts readout fidelity to 93.9% by suppressing errors due to spurious thermal population. Furthermore, heralding potentially enables a simple, fast qubit reset protocol without changing the system parameters to induce Purcell relaxation.