Quantum trajectories of superconducting qubits
arXiv:1506.08165 · doi:10.1016/j.crhy.2016.07.007
Abstract
In this review, we discuss recent experiments that investigate how the quantum sate of a superconducting qubit evolves during measurement. We provide a pedagogical overview of the measurement process, when the qubit is dispersively coupled to a microwave frequency cavity, and the qubit state is encoded in the phase of a microwave tone that probes the cavity. A continuous measurement record is used to reconstruct the individual quantum trajectories of the qubit state, and quantum state tomography is performed to verify that the state has been tracked accurately. Furthermore, we discuss ensembles of trajectories, time-symmetric evolution, two-qubit trajectories, and potential applications in measurement-based quantum error correction.
References in corpus (18)
- Charge insensitive qubit design derived from the Cooper pair box
- Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
- State preservation by repetitive error detection in a superconducting quantum circuit
- A Straightforward Introduction to Continuous Quantum Measurement
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- Progressive field-state collapse and quantum non-demolition photon counting
- Observation of quantum jumps in a superconducting artificial atom
- Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
- Quantum back-action of variable-strength measurement
- Mapping the optimal route between two quantum states
- Feedback control of a solid-state qubit using high-fidelity projective measurement
- Time-Symmetric Quantum Theory of Smoothing
- Conditional statistics of electron transport in interacting nanoscale conductors
- Prediction and retrodiction for a continuously monitored superconducting qubit
- Quantum state tomography by continuous measurement and compressed sensing
- Entanglement genesis under continuous parity measurement
- Past quantum state analysis of the photon number evolution in a cavity
- Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing
Cited by in corpus (20)
- Observing quantum state diffusion by heterodyne detection of fluorescence
- Time Series Quantum Reservoir Computing with Weak and Projective Measurements
- Dynamics of a qubit while simultaneously monitoring its relaxation and dephasing
- Interference of Quantum Trajectories
- Quantum reservoir computing in finite dimensions
- Quantum Interference and Complex Photon Statistics in Waveguide QED
- Sequential dispersive measurement of a superconducting qubit
- Quantum interface between a transmon qubit and spins of nitrogen-vacancy centers
- Unravelling Metastable Markovian Open Quantum Systems
- Quantum state tomography with time-continuous measurements: reconstruction with resource limitations
- Minimizing the discrimination time for quantum states of an artificial atom
- Maxwell's demon in superconducting circuits
- Quantum retrodiction in Gaussian systems and applications in optomechanics
- Unraveling-paired dynamical maps can recover the input of quantum channels
- On the unraveling of open quantum dynamics
- Correlation functions for realistic continuous quantum measurement
- Unravelling quantum chaos using persistent homology
- Full counting statistics and first-passage times in quantum Markovian processes: Ensemble relations, metastability, and fluctuation theorems
- Gauge freedoms in unravelled quantum dynamics: When do different continuous measurements yield identical quantum trajectories?
- Mitigating state transition errors during readout with a synchronized flux pulse