Qubit models of weak continuous measurements
arXiv:1710.09523 · doi:10.1088/2058-9565/aaa39f
Abstract
In this paper we approach the theory of continuous measurements and the associated unconditional and conditional (stochastic) master equations from the perspective of quantum information and quantum computing. We do so by showing how the continuous-time evolution of these master equations arises from discretizing in time the interaction between a system and a probe field and by formulating quantum-circuit diagrams for the discretized evolution. We then reformulate this interaction by replacing the probe field with a bath of qubits, one for each discretized time segment, reproducing all of the standard quantum-optical master equations. This provides an economical formulation of the theory, highlighting its fundamental underlying assumptions.
50 pages, 18 figures. Version 2 includes minor bibliographic modifications. The final version is the published version, available at the provided DOI, and includes a few small additional changes, including full context for these bibliographic modifications. Version 3 incorporates the changes from the Corrigendum https://doi.org/10.1088/2058-9565/ac54eb
References in corpus (17)
- A Straightforward Introduction to Continuous Quantum Measurement
- Continuous quantum measurement and Itô formalism
- Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
- Squeezing of a nanomechanical resonator by quantum nondemolition measurement and feedback
- Bayesian parameter inference from continuously monitored quantum systems
- Simulation of indivisible qubit channels in collision models
- Collision models in quantum optics
- A discrete invitation to quantum filtering and feedback control
- Non-linear dispersive regime of cavity QED: The dressed dephasing model
- Stochastic pure state representation for open quantum systems
- Single shot parameter estimation via continuous quantum measurement
- Efficient feedback controllers for continuous-time quantum error correction
- Quantum trajectories for the realistic measurement of a solid-state charge qubit
- Model for monitoring of a charge qubit using a radio-frequency quantum point contact including experimental imperfections
- Single Shot Quantum State Estimation via a Continuous Measurement in the Strong Backaction Regime
- Decomposing generalized measurements into continuous stochastic processes
- Continuous decomposition of quantum measurements via qubit probe feedback
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- Quantum frequency estimation with conditional states of continuously monitored independent dephasing channels
- Optical measurement of electron spins in quantum dots: Quantum Zeno effects
- Optimal Zeno Dragging for Quantum Control: A Shortcut to Zeno with Action-based Scheduling Optimization
- Implementing quantum stochastic differential equations on a quantum computer
- Quantum non-Markovian collision models from colored-noise baths
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- Quantum polyspectra for modeling and evaluating quantum transport measurements: A unifying approach to the strong and weak measurement regime
- A tensor network approach to sensing quantum light-matter interactions
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- Emergence of Constructor-based Irreversibility in Quantum Systems: Theory and Experiment
- Entanglement of a pair of quantum emitters via continuous fluorescence measurements: a tutorial
- Derivation of the quantum-optical master equation based on coarse-graining of time
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- Collisional open quantum dynamics with a generally correlated environment: Exact solvability in tensor networks
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- Simultaneous Measurements of Noncommuting Observables. Positive Transformations and Instrumental Lie Groups
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- Queued quantum collision models
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- Making Every Photon Count: A Quantum Polyspectra Approach to the Dynamics of Blinking Quantum Emitters at Low Photon Rates Without Binning
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- Photon counting probabilities of the output field for a single-photon input
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- Stochastic approach to evolution of a quantum system interacting with a wave packet in squeezed number state
- Lyapunov-Based Stabilization and Control of the Stochastic Schrodinger Equation
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