Quantum Bayesian approach to circuit QED measurement with moderate bandwidth

Abstract

We consider continuous quantum measurement of a superconducting qubit in the circuit QED setup with a moderate bandwidth of the measurement resonator, i.e., when the "bad cavity" limit is not applicable. The goal is a simple description of the quantum evolution due to measurement, i.e., the measurement back-action. Extending the quantum Bayesian approach previously developed for the "bad cavity" regime, we show that the evolution equations remain the same, but now they should be applied to the entangled qubit-resonator state, instead of the qubit state alone. The derivation uses only elementary quantum mechanics and basic properties of coherent states, thus being accessible to non-experts.

arXiv comment26 pages

References in corpus (47)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Charge insensitive qubit design derived from the Cooper pair box
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• Introduction to Quantum Noise, Measurement and Amplification
• The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
• Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
• Feedback-control of quantum systems using continuous state-estimation
• Controlling the spontaneous emission of a superconducting transmon qubit
• Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
• Phase preserving amplification near the quantum limit with a Josephson Ring Modulator
• Fast Scalable State Measurement with Superconducting Qubits
• Qubit-photon interactions in a cavity: Measurement induced dephasing and number splitting
• Observing single quantum trajectories of a superconducting qubit
• Continuous quantum measurement and Itô formalism
• Observation of quantum jumps in a superconducting artificial atom
• Experimental violation of a Bell's inequality in time with weak measurement
• Deterministic entanglement of superconducting qubits by parity measurement and feedback
• Continuous quantum measurement of a double dot
• Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
• Observation of measurement-induced entanglement and quantum trajectories of remote superconducting qubits
• Quantum back-action of variable-strength measurement
• Fast Reset and Suppressing Spontaneous Emission of a Superconducting Qubit
• Undoing a weak quantum measurement of a solid-state qubit
• Uncollapsing of a quantum state in a superconducting phase qubit
• Selective quantum evolution of a qubit state due to continuous measurement
• Mapping the optimal route between two quantum states
• Continuous weak measurement of quantum coherent oscillations
• Continuous quantum measurement of two coupled quantum dots using a point contact: A quantum trajectory approach
• Dynamics of a mesoscopic qubit under continuous quantum measurement
• Quantum theory of a bandpass Purcell filter for qubit readout
• Rapid Driven Reset of a Qubit Readout Resonator
• Quantum feedback control of a solid-state qubit
• Design and characterization of a lumped element single-ended superconducting microwave parametric amplifier with on-chip flux bias line
• Observing interferences between past and future quantum states in resonance fluorescence
• Entanglement of solid-state qubits by measurement
• Reversing quantum trajectories with analog feedback
• Continuous quantum measurement with independent detector cross-correlations
• Measuring a transmon qubit in circuit QED: dressed squeezed states
• Continuous joint measurement and entanglement of qubits in remote cavities
• Robust quantum state transfer using tunable couplers
• Nonideal quantum detectors in Bayesian formalism
• Reducing intrinsic decoherence in a superconducting circuit by quantum error detection
• Quantum trajectories for the realistic measurement of a solid-state charge qubit
• Crossover of phase qubit dynamics in presence of negative-result weak measurement
• Coherence of a Josephson phase qubit under partial-collapse measurement
• Exact quantum Bayesian rule for qubit measurements in circuit QED
• Quantum Bayesian rule for weak measurements of qubits in superconducting circuit QED

Cited by in corpus (33)

• Incoherent qubit control using the quantum Zeno effect
• Quantum trajectories for propagating Fock states
• Strengthening weak measurements of qubit out-of-time-order correlators
• Efficient and Low-Backaction Quantum Measurement Using a Chip-Scale Detector
• Quantum-limited measurement of spin qubits via curvature coupling to a cavity
• Prediction and Characterization of Multiple Extremal Paths in Continuously Monitored Qubits
• Machine Learning for Continuous Quantum Error Correction on Superconducting Qubits
• Measuring Fluorescence to Track a Quantum Emitter's State: A Theory Review
• A Practical Introduction to Benchmarking and Characterization of Quantum Computers
• Microwave measurement beyond the quantum limit with a nonreciprocal amplifier
• Probing quantumness with joint continuous measurements of non-commuting qubit observables
• Continuous quantum error correction for evolution under time-dependent Hamiltonians
• Chaos in Continuously Monitored Quantum Systems: An Optimal Path Approach
• Linear feedback stabilization of a dispersively monitored qubit
• Error correcting Bacon-Shor code with continuous measurement of noncommuting operators
• Multi-time correlators in continuous measurement of qubit observables
• Thermodynamics of Quantum Measurement and the Demon's Arrow of Time
• Continuous measurements for control of superconducting quantum circuits
• Real-time quantum state estimation in circuit QED via Bayesian approach
• Past observable dynamics of a continuously monitored qubit
• Non-Markovian transient spectroscopy in cavity QED
• A Multi-Qubit Quantum Gate Using the Zeno Effect
• Optimal Zeno Dragging for Quantum Control: A Shortcut to Zeno with Action-based Scheduling Optimization
• Minimizing the discrimination time for quantum states of an artificial atom
• Noise reduction in qubit readout with a two-mode squeezed interferometer
• Entanglement of a pair of quantum emitters via continuous fluorescence measurements: a tutorial
• A Logarithmic Bayesian Approach to Quantum Error Detection
• Correlators exceeding one in continuous measurements of superconducting qubits
• Estimation of parameters in circuit QED by continuous quantum measurement
• Hybrid phase-space--Fock-space approach to evolution of a driven nonlinear resonator
• Gradual partial-collapse theory for ideal nondemolition measurements of qubits in circuit QED
• Homodyne Measurement of a Non-Hermitian Qubit Undergoing Fluorescence
• Boosting Work Extraction in Quantum Batteries via Continuous Environment Monitoring