Selective quantum evolution of a qubit state due to continuous measurement

Abstract

We consider a two-level quantum system (qubit) which is continuously measured by a detector. The information provided by the detector is taken into account to describe the evolution during a particular realization of measurement process. We discuss the Bayesian formalism for such ``selective'' evolution of an individual qubit and apply it to several solid-state setups. In particular, we show how to suppress the qubit decoherence using continuous measurement and the feedback loop.

15 pages (including 9 figures)

References in corpus (3)

• Quantum feedback control and classical control theory
• Continuous quantum measurement of a double dot
• Statistics and noise in a quantum measurement process

Cited by in corpus (167)

• Quantum state engineering with Josephson-junction devices
• Circuit Quantum Electrodynamics
• Introduction to Quantum Noise, Measurement and Amplification
• Quantum control theory and applications: A survey
• A Straightforward Introduction to Continuous Quantum Measurement
• Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
• Leggett-Garg Inequalities
• Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
• Quantum feedback: theory, experiments, and applications
• Weak values and the Leggett-Garg inequality in solid-state qubits
• Continuous quantum error correction via quantum feedback control
• Undoing a weak quantum measurement of a solid-state qubit
• Cavity-assisted quantum bath engineering
• Feedback cooling of a nanomechanical resonator
• High-Resolution Correlation Spectroscopy of 13C Spins Near a Nitrogen-Vacancy Center in Diamond
• Protocols for optimal readout of qubits using a continuous quantum nondemolition measurement
• Single-molecule Scale Magnetic Resonance Spectroscopy using Nitrogen-Vacancy Centers in Diamond
• Efficiency of Mesoscopic Detectors
• Dynamics of a mesoscopic qubit under continuous quantum measurement
• Quantum-Limited Position Detection and Amplification: A Linear Response Perspective
• Squeezing of a nanomechanical resonator by quantum nondemolition measurement and feedback
• How to project qubits faster using quantum feedback
• Relaxation and Zeno effect in qubit measurements
• Qubit models of weak continuous measurements
• Leggett-Garg inequality with a kicked quantum pump
• Quantum feedback control of a solid-state qubit
• High-resolution spectroscopy of single nuclear spins via sequential weak measurements
• Action principle for continuous quantum measurement
• Entanglement of solid-state qubits by measurement
• Rapid State-Reduction of Quantum Systems Using Feedback Control
• Signatures of quantum behavior in single-qubit weak measurements
• Frequency-dependent counting statistics in interacting nanoscale conductors
• Qubit feedback and control with kicked quantum nondemolition measurements: A quantum Bayesian analysis
• Experimental motivation and empirical consistency in minimal no-collapse quantum mechanics
• Thermodynamics of weakly measured quantum systems
• Quantum State Smoothing
• Measurement efficiency and n-shot read out of spin qubits
• Stochastic path integral formalism for continuous quantum measurement
• Finite-frequency counting statistics of electron transport: Markovian Theory
• Storage Qubits and Their Potential Implementation Through a Semiconductor Double Quantum Dot
• Reconsidering Rapid Qubit Purification by Feedback
• Quantum rate equations for electron transport through an interacting system in the sequential tunneling regime
• Incoherent qubit control using the quantum Zeno effect
• From time-reversal symmetry to quantum Bayes' rules
• Quantum Nondemolition Measurement of a Kicked Qubit
• Quantum Bayesian approach to circuit QED measurement with moderate bandwidth
• Thermal transistor and thermometer based on Coulomb-coupled conductors
• Single qubit measurements with an asymmetric single-electron transistor
• Quantum Speed Limits under Continuous Quantum Measurements
• Arrow of Time for Continuous Quantum Measurement
• Qubit state monitoring by measurement of three complementary observables
• Entanglement genesis under continuous parity measurement
• Characterization of arbitrary-order correlations in quantum baths by weak measurement
• Anatomy of Fluorescence: Quantum trajectory statistics from continuously measuring spontaneous emission
• Quantum mechanical approach to decoherence and relaxation generated by fluctuating environment
• Low frequency Rabi spectroscopy of dissipative two level systems. The dressed state approach
• Parity detection and entanglement with a Mach-Zehnder interferometer
• Spectrum of qubit oscillations from Bloch equations
• Time Scales of Phonon Induced Decoherence of Semiconductor Spin Qubits
• The information about the state of a qubit gained by a weakly coupled detector
• Sensitivity and back-action in charge qubit measurements by a strongly coupled single-electron transistor
• Quantum Fokker-Planck Master Equation for Continuous Feedback Control
• Simple quantum feedback of a solid-state qubit
• Quantum evolution in the stroboscopic limit of repeated measurements
• Quantum computing with spin qubits in semiconductor structures
• Avoiding Loopholes with Hybrid Bell-Leggett-Garg Inequalities
• Nonideal quantum detectors in Bayesian formalism
• Quantum-limited measurement of spin qubits via curvature coupling to a cavity
• Simultaneous continuous measurement of non-commuting observables: quantum state correlations
• Quantum measurement in the charge representation
• Fano-Kondo effect through two-level system based on quantum dots
• Evolution of a qubit under the influence of a succession of unsharp measurements
• Stochastic Bloch-Redfield theory: quantum jumps in a solid-state environment
• Method for direct observation of coherent quantum oscillations in a superconducting phase qubit
• Quantum trajectories for the realistic measurement of a solid-state charge qubit
• Spin-detection in a quantum electromechanical shuttle system
• Prediction and Characterization of Multiple Extremal Paths in Continuously Monitored Qubits
• Evolution of many-body systems under ancilla quantum measurements
• Phase transitions in sequential weak measurements
• Continuous quantum feedback of coherent oscillations in a solid-state qubit
• Low frequency Rabi spectroscopy for a dissipative two-level system
• Measuring cotunneling in its wake
• Continuous measurement of entangled qubits
• Non-Markovian dynamics of a nanomechanical resonator measured by a quantum point contact
• The influence of charge detection on counting statistics
• Charge Qubit Purification by an Electronic Feedback Loop
• Qubit measurement error from coupling with a detuned neighbor in circuit QED
• Model for monitoring of a charge qubit using a radio-frequency quantum point contact including experimental imperfections
• Crossover of phase qubit dynamics in presence of negative-result weak measurement
• Entropic Updating of Probability and Density Matrices
• Modulated longitudinal gates on encoded spin-qubits via curvature couplings to a superconducting cavity
• Chaos in Continuously Monitored Quantum Systems: An Optimal Path Approach
• Continuous quantum error correction for evolution under time-dependent Hamiltonians
• Simultaneous weak measurement of non-commuting observables
• Quantum Control through a Self-Fulfilling Prophecy
• Weak measurement and rapid state reduction in bipartite quantum systems
• Continuous weak measurement and feedback control of a solid-state charge qubit: physical unravelling of non-Lindblad master equation
• Quantum-efficient charge detection using a single-electron transistor
• Qubit purification speed-up for three complementary continuous measurements
• Monte Carlo Method for a Quantum Measurement Process by a Single-Electron Transistor
• Measurement-based direct quantum feedback control in an open quantum system
• Detector-induced backaction on the counting statistics of a double quantum dot
• Error correcting Bacon-Shor code with continuous measurement of noncommuting operators
• Unusual decoherence in qubit measurements with a Bose-Einstein condensate
• Quantum Zeno stabilization in weak continuous measurement of two qubits
• Electroluminescence and multi-photon effects in a resonator driven by a tunnel junction
• Continuous Quantum Error Correction Through Local Operations
• Multi-time correlators in continuous measurement of qubit observables
• Engineering two-qubit mixed states with weak measurements
• Measurement-induced phase transitions in monitored infinite-range interacting systems
• A model of deterministic detector with dynamical decoherence
• Implementing generalized measurements with superconducting qubits
• Measurement back-action on adiabatic coherent electron transport
• Localization, fractality, and ergodicity in a monitored qubit
• On-demand maximally entangled states with a parity meter and continuous feedback
• Weak measurement of quantum dot spin qubits
• Coherence of a Josephson phase qubit under partial-collapse measurement
• Process tomography via sequential measurements on a single quantum system
• Feedback-stabilized dynamical steady states in the Bose-Hubbard model
• Maximum information gain in weak or continuous measurements of qudits: complementarity is not enough
• Generalized figure of merit for qubit readout
• Bacon-Shor code with continuous measurement of non-commuting operators
• Feedback Control of Waiting Times
• Correcting low-frequency noise with continuous measurement
• Correlated quantum measurement of a solid-state qubit
• Quantum efficiency of binary-outcome detectors of solid-state qubits
• Past observable dynamics of a continuously monitored qubit
• Continuous quantum error detection and suppression with pairwise local interactions
• Theory of a double-dot charge detector
• Quantum coherence control of solid-state charge qubit by means of a suboptimal feedback algorithm
• Sequential generalized measurements: Asymptotics, typicality and emergent projective measurements
• Quantum state tomography with time-continuous measurements: reconstruction with resource limitations
• Does the measurement take place when nobody observes it?
• Non-Markovian dynamics and noise characteristics in continuous measurement of a solid-state charge qubit
• Weak Measurement of Qubit Oscillations with Strong Response Detectors: Violation of the Fundamental Bound Imposed on Linear Detectors
• Quantum Bayes' rule and Petz transpose map from the minimum change principle
• Titanium single electron transistor fabricated by electron-beam lithography
• Projective versus weak measurement of charge in a mesoscopic conductor
• Decoherence and Dephasing in Kondo Tunneling through Double Quantum Dots
• Decoherence effects on weak value measurements in double quantum dots
• Method for direct observation of coherent quantum oscillations in a superconducting phase qubit. Computer simulations
• Correlators exceeding one in continuous measurements of superconducting qubits
• Scattering Theory of Mesoscopic Detectors
• Quantum filtering one bit at a time
• Robust control of quantum systems by quantum systems
• Wave Function Collapse in a Mesoscopic Device
• Readout of solid-state charge qubits using a single-electron pump
• Quantum error correction using weak measurements
• Surpassing spectator qubits with photonic modes and continuous measurement for Heisenberg-limited noise mitigation
• Renormalized dynamics in charge qubit measurements by a single electron transistor
• Simple theory of the measured current through quantum dots
• The Inferential Design of Entropy and its Application to Quantum Measurements
• Sensing electrons during an adiabatic coherent transport passage
• Quantum measurement induces a many-body transition
• Effect of interactions on quantum-limited detectors
• Scalable quantum computation architecture using always-on Ising interactions via quantum feedforward
• Equation of Motion for Estimation Fidelity of Monitored Oscillating Qubits
• Theory of interaction-dependent instability in quantum detection by means of Luttinger liquid tunnel junction: a rigorous theorem
• Phase Diagram of the Dynamics of a Precessing Qubit under Quantum Measurement
• Completely positive trace-preserving maps for higher-order unraveling of Lindblad master equations
• Perturbative approach to the capacitive interaction between a sensor quantum dot and a charge qubit
• Double detected spin-dependent quantum dot
• Feedback-charging a metallic island
• Weak-valued correlation functions: Insights and precise readout strategies
• Emergent Quantum Jumps in a Nano-Electro-Mechanical System
• Quantum Efficiency of Charge Qubit Measurements Using a Single Electron Transistor
• Quantum filtering for systems driven by fermion fields