Continuous measurements for control of superconducting quantum circuits

Abstract

Developments over the last two decades have opened the path towards quantum technologies in many quantum systems, such as cold atoms, trapped ions, cavity-quantum electrodynamics (QED), and circuit-QED. However the fragility of quantum states to the effects of measurement and decoherence still poses one of the greatest challenges in quantum technology. An imperative capability in this path is quantum feedback, as it enhances the control possibilities and allows for prolonging coherence times through quantum error correction. While changing parameters from shot to shot of an experiment or procedure can be considered feedback, quantum mechanics also allows for the intriguing possibility of performing feedback operations during the measurement process itself. This broader approach to measurements leads to the concepts of weak measurement, quantum trajectories and numerous types of feedback with no classical analogues. These types of processes are the primary focus of this review. We introduce the concept of quantum feedback in the context of circuit QED, an experimental platform with significant potential in quantum feedback and technology. We then discuss several experiments and see how they elucidate the concepts of continuous measurements and feedback. We conclude with an overview of coherent feedback, with application to fault-tolerant error correction.

References in corpus (53)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Charge insensitive qubit design derived from the Cooper pair box
• Introduction to Quantum Noise, Measurement and Amplification
• Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture
• Resolving photon number states in a superconducting circuit
• Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
• Dynamically protected cat-qubits: a new paradigm for universal quantum computation
• Quantum control theory and applications: A survey
• A Straightforward Introduction to Continuous Quantum Measurement
• Confining the state of light to a quantum manifold by engineered two-photon loss
• Feedback-control of quantum systems using continuous state-estimation
• Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
• Phase preserving amplification near the quantum limit with a Josephson Ring Modulator
• Observing single quantum trajectories of a superconducting qubit
• Quantum Zeno dynamics: mathematical and physical aspects
• Stabilizing entanglement autonomously between two superconducting qubits
• To catch and reverse a quantum jump mid-flight
• Introduction to Quantum Electromagnetic Circuits
• Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving
• Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
• Hardware-efficient autonomous quantum error correction
• Observation of measurement-induced entanglement and quantum trajectories of remote superconducting qubits
• Dispersive magnetometry with a quantum limited SQUID parametric amplifier
• Continuous quantum error correction via quantum feedback control
• Cavity-assisted quantum bath engineering
• Mapping the optimal route between two quantum states
• Resonantly phase-matched Josephson junction traveling wave parametric amplifier
• Experimental realization of quantum zeno dynamics
• Optimizing the nonlinearity and dissipation of a SNAIL Parametric Amplifier for dynamic range
• Dynamics of simultaneously measured non-commuting observables
• The quasiprobability behind the out-of-time-ordered correlator
• Stabilizing entanglement via symmetry-selective bath engineering in superconducting qubits
• A photonic crystal Josephson traveling wave parametric amplifier
• Quantum Zeno dynamics of a field in a cavity
• Deterministic protocol for mapping a qubit to coherent state superpositions in a cavity
• Quantum dynamics of an electromagnetic mode that cannot contain N photons
• Cooling and Autonomous Feedback in a Bose-Hubbard chain with Attractive Interactions
• Efficient Quantum Filtering for Quantum Feedback Control
• Feedback-Induced Quantum Phase Transitions Using Weak Measurements
• Quantum Computing in Plato's Cave
• Incoherent qubit control using the quantum Zeno effect
• Quantum Bayesian approach to circuit QED measurement with moderate bandwidth
• The Kalman Decomposition for Linear Quantum Systems
• Simulating nonlinear dynamics of collective spins via quantum measurement and feedback
• Are Number and Phase Complementary Observables?
• Deterministic generation of remote entanglement with active quantum feedback
• Continuous joint measurement and entanglement of qubits in remote cavities
• Error correcting Bacon-Shor code with continuous measurement of noncommuting operators
• Coherent vs. measurement-based feedback for controlling a single qubit
• Robust Adaptive measurement for qubit state preparation
• General criteria for quantum state smoothing with necessary and sufficient criteria for linear Gaussian quantum systems
• Persistent Rabi oscillations probed via low-frequency noise correlation
• The role of quantum measurements in physical processes and protocols

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• Quantum retrodiction in Gaussian systems and applications in optomechanics
• Noise-assisted and monitoring-enhanced quantum bath tagging
• Generating Symmetry-Protected Long-Range Entanglement in Many-Body Systems
• No-Collapse Accurate Quantum Feedback Control via Conditional State Tomography
• Noise-Canceling Quantum Feedback: non-Hermitian Dynamics with Applications to State Preparation and Magic State Distillation
• Semidefinite programming for understanding the limitations of Lindblad equations
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