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Stochastic differential equations anda posteriori states in quantum mechanics

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-53862-3openalex-snapshot
Quantum Aspects of Optical Communications
inferredcites →https://doi.org/10.1007/3-540-53862-3_178openalex-snapshot
Detection theory in quantum optics and quantum stochastic calculus
inferredcites →https://doi.org/10.1007/978-1-4613-2443-0_22openalex-snapshot
Continual Observations in Quantum Mechanics
inferredcites →https://doi.org/10.1007/978-1-4684-5221-1openalex-snapshot
Fundamental Aspects of Quantum Theory
inferredcites →https://doi.org/10.1007/978-1-4684-5221-1_7openalex-snapshot
On the Quantum Theory of Continuous Measurements
inferredcites →https://doi.org/10.1007/978-1-4684-8771-8_11openalex-snapshot
Old and New Ideas in the Theory of Quantum Measurement
inferredcites →https://doi.org/10.1007/978-3-540-47620-7openalex-snapshot
An Open Systems Approach to Quantum Optics
inferredcites →https://doi.org/10.1007/978-3-662-26384-6openalex-snapshot
Deutung des Begriffs ”physikalische Theorie” und axiomatische Grundlegung der Hilbertraumstruktur der Quantenmechanik durch Hauptsätze des Messens
inferredcites →https://doi.org/10.1007/bf00398273openalex-snapshot
A stochastic posterior Schr�dinger equation for counting nondemolition measurement
inferredcites →https://doi.org/10.1007/bf01258530openalex-snapshot
Quantum Ito's formula and stochastic evolutions
inferredcites →https://doi.org/10.1007/bf01608499openalex-snapshot
On the generators of quantum dynamical semigroups
inferredcites →https://doi.org/10.1007/bf01645529openalex-snapshot
Quantum stochastic processes
inferredcites →https://doi.org/10.1007/bf01646628openalex-snapshot
Quantum stochastic processes II
inferredcites →https://doi.org/10.1007/bf01647093openalex-snapshot
An operational approach to quantum probability
inferredcites →https://doi.org/10.1007/bf01651584openalex-snapshot
Quantum stochastic processes III
inferredcites →https://doi.org/10.1007/bf01653647openalex-snapshot
Attempt of an axiomatic foundation of quantum mechanics and more general theories, II
inferredcites →https://doi.org/10.1007/bf01654027openalex-snapshot
Attempt of an axiomatic foundation of quantum mechanics and more general theories. III
inferredcites →https://doi.org/10.1007/bf01883488openalex-snapshot
On the relationship between continuous and discontinuous stochastic processes in Hilbert space
inferredcites →https://doi.org/10.1007/bf01906270openalex-snapshot
Statistics of continuous trajectories in quantum mechanics: Operation-valued stochastic processes
inferredcites →https://doi.org/10.1007/bf02097018openalex-snapshot
Quantum continual measurements and a posteriori collapse on CCR
inferredcites →https://doi.org/10.1007/bf02228938openalex-snapshot
Atom relaxing under a counting observation
inferredcites →https://doi.org/10.1007/bf02721671openalex-snapshot
Continual measurements for quantum open systems
inferredcites →https://doi.org/10.1007/bf02894935openalex-snapshot
A model for the macroscopic description and continual observations in quantum mechanics
inferredcites →https://doi.org/10.1007/bfb0074453openalex-snapshot
Quantum Probability and Applications II
inferredcites →https://doi.org/10.1007/bfb0074459openalex-snapshot
Dilations of operation valued stochastic processes
inferredcites →https://doi.org/10.1007/bfb0078053openalex-snapshot
Input and output channels in quantum systems and quantum stochastic differential equations
inferredcites →https://doi.org/10.1007/bfb0078059openalex-snapshot
A noncommutative generalization of conditionally positive definite functions
inferredcites →https://doi.org/10.1007/bfb0083555openalex-snapshot
Limit theorems for repeated measurements and continuous measurement processes
inferredcites →https://doi.org/10.1016/0034-4877(91)90005-8openalex-snapshot
A continuous observation of photon emission
inferredcites →https://doi.org/10.1016/0375-9601(88)90309-xopenalex-snapshot
Continuous quantum measurement and itô formalism
inferredcites →https://doi.org/10.1016/0375-9601(88)90555-5openalex-snapshot
Localized solution of a simple nonlinear quantum Langevin equation
inferredcites →https://doi.org/10.1016/0375-9601(89)90066-2openalex-snapshot
A new wave equation for a continuous nondemolition measurement
inferredcites →https://doi.org/10.1016/0375-9601(89)90067-4openalex-snapshot
A quantum particle undergoing continuous observation
inferredcites →https://doi.org/10.1016/0375-9601(92)90264-mopenalex-snapshot
Wave-function approach to dissipative processes: are there quantum jumps?
inferredcites →https://doi.org/10.1016/0378-4371(75)90075-8openalex-snapshot
Theory of open systems I
inferredcites →https://doi.org/10.1063/1.525981openalex-snapshot
Generalized stochastic processes and continual observations in quantum mechanics
inferredcites →https://doi.org/10.1063/1.526000openalex-snapshot
Quantum measuring processes of continuous observables
inferredcites →https://doi.org/10.1063/1.526851openalex-snapshot
Quantum stochastic calculus, operation valued stochastic processes, and continual measurements in quantum mechanics
inferredcites →https://doi.org/10.1063/1.528946openalex-snapshot
A posterior Schrödinger equation for continuous nondemolition measurement
inferredcites →https://doi.org/10.1063/1.529188openalex-snapshot
Continuous quantum jumps and infinite-dimensional stochastic equations
inferredcites →https://doi.org/10.1080/713820643openalex-snapshot
Photon Counting Probabilities in Quantum Optics
inferredcites →https://doi.org/10.1080/713820838openalex-snapshot
What Are the Photon Counting Probabilities for Open Systems-A Reply to Mandel's Comments
inferredcites →https://doi.org/10.1088/0031-8949/45/3/001openalex-snapshot
On the asymptotic solutions of Belavkin's stochastic wave equation
inferredcites →https://doi.org/10.1088/0305-4470/19/2/016openalex-snapshot
Generalisation of Wigner's theorem for dissipative quantum systems
inferredcites →https://doi.org/10.1088/0305-4470/20/18/034openalex-snapshot
Quantum stochastic differential equations: an application to the electron shelving effect
inferredcites →https://doi.org/10.1088/0305-4470/22/23/006openalex-snapshot
A continuous counting observation and posterior quantum dynamics
inferredcites →https://doi.org/10.1088/0305-4470/24/7/022openalex-snapshot
Measurements continuous in time and a posteriori states in quantum mechanics
inferredcites →https://doi.org/10.1088/0305-4470/25/21/023openalex-snapshot
The quantum-state diffusion model applied to open systems
inferredcites →https://doi.org/10.1088/0954-8998/2/6/002openalex-snapshot
Direct and heterodyne detection and other applications of quantum stochastic calculus to quantum optics
inferredcites →https://doi.org/10.1103/physreva.34.1642openalex-snapshot
Measurement theory and stochastic differential equations in quantum mechanics
inferredcites →https://doi.org/10.1103/physreva.40.1165openalex-snapshot
Models for universal reduction of macroscopic quantum fluctuations
inferredcites →https://doi.org/10.1103/physreva.42.78openalex-snapshot
Markov processes in Hilbert space and continuous spontaneous localization of systems of identical particles
inferredcites →https://doi.org/10.1103/physreva.45.4879openalex-snapshot
Monte Carlo simulation of the atomic master equation for spontaneous emission
inferredcites →https://doi.org/10.1103/physreva.46.4363openalex-snapshot
Wave-function quantum stochastic differential equations and quantum-jump simulation methods
inferredcites →https://doi.org/10.1103/physreva.46.4382openalex-snapshot
Monte Carlo simulation of master equations in quantum optics for vacuum, thermal, and squeezed reservoirs
inferredcites →https://doi.org/10.1103/physrevd.32.347openalex-snapshot
Continuous observations in quantum mechanics: An application to gravitational-wave detectors
inferredcites →https://doi.org/10.1103/physrevd.33.2240openalex-snapshot
Stochastic dynamical reduction theories and superluminal communication
inferredcites →https://doi.org/10.1103/physrevlett.52.1657openalex-snapshot
Quantum Measurements and Stochastic Processes
inferredcites →https://doi.org/10.1142/1768openalex-snapshot
Classical and Quantum Systems – Foundations and Symmetries
inferredcites →https://doi.org/10.1364/josab.10.000524openalex-snapshot
Monte Carlo wave-function method in quantum optics
inferredcites →https://doi.org/10.2307/2283123openalex-snapshot
Probability Theory and Mathematical Statistics.
inferredcites →https://doi.org/10.2977/prims/1195179625openalex-snapshot
Conditional Probability and A Posteriori States in Quantum Mechanics
inferredcites →https://doi.org/10.5169/seals-116034openalex-snapshot
Stochastic quantum dynamics and relativity
inferredcites →https://doi.org/10.5169/seals-116244openalex-snapshot
Pure state quantum stochastic differential equations in C^2

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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The Stochastic Master Equation: Part I
inferred← citeshttps://doi.org/10.1007/978-3-642-01298-3_5openalex-snapshot
The Stochastic Master Equation: Part II
inferred← citeshttps://doi.org/10.1007/978-3-642-25640-0_11openalex-snapshot
Probing Macroscopic Quantum States
inferred← citeshttps://doi.org/10.1016/j.physrep.2012.07.001openalex-snapshot
Nonperturbative theory of weak pre- and post-selected measurements
inferred← citeshttps://doi.org/10.1016/j.physrep.2018.07.001openalex-snapshot
Concepts of quantum non-Markovianity: A hierarchy
inferred← citeshttps://doi.org/10.1017/s0027763000005511openalex-snapshot
A note on a formula of the Lévy-Khinchin type in quantum probability
inferred← citeshttps://doi.org/10.1080/00107510601101934openalex-snapshot
A straightforward introduction to continuous quantum measurement
inferred← citeshttps://doi.org/10.1088/1355-5111/8/1/011openalex-snapshot
Detection theory in quantum optics: stochastic representation
inferred← citeshttps://doi.org/10.1088/1355-5111/8/1/012openalex-snapshot
Microscopic foundation of a finite-temperature stochastic Schrödinger equation
inferred← citeshttps://doi.org/10.1088/1367-2630/16/6/063028openalex-snapshot
Quantum jumps are more quantum than quantum diffusion
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Quantum trajectories for realistic photodetection: I. General formalism
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Completely positive quantum trajectories with applications to quantum state smoothing
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Collisional-model quantum trajectories for entangled-qubit environments
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Completely positive trace-preserving maps for higher-order unraveling of Lindblad master equations
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Linear stochastic wave equations for continuously measured quantum systems
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Schrödinger cat states and single runs for the damped harmonic oscillator
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Feedback control of quantum systems using continuous state estimation
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Information, disturbance, and Hamiltonian quantum feedback control
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Weak values, quantum trajectories, and the cavity-QED experiment on wave-particle correlation
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Atom lasers, coherent states, and coherence. I. Physically realizable ensembles of pure states
inferred← citeshttps://doi.org/10.1103/physreva.66.012108openalex-snapshot
Non-Markovian stochastic Schrödinger equations: Generalization to real-valued noise using quantum-measurement theory
inferred← citeshttps://doi.org/10.1103/physreva.66.013807openalex-snapshot
Bayesian feedback versus Markovian feedback in a two-level atom
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Continuous quantum measurement and the quantum to classical transition
inferred← citeshttps://doi.org/10.1103/physreva.67.062101openalex-snapshot
Stochastic Schrödinger equations with general complex Gaussian noises
inferred← citeshttps://doi.org/10.1103/physreva.69.012105openalex-snapshot
Numerical analysis of a spontaneous collapse model for a two-level system
inferred← citeshttps://doi.org/10.1103/physreva.69.022109openalex-snapshot
Conditional quantum dynamics with several observers
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Dynamical parameter estimation using realistic photodetection
inferred← citeshttps://doi.org/10.1103/physreva.74.012322openalex-snapshot
Feedback cooling of atomic motion in cavity QED
inferred← citeshttps://doi.org/10.1103/physreva.80.043802openalex-snapshot
Quantum-state preparation and macroscopic entanglement in gravitational-wave detectors
inferred← citeshttps://doi.org/10.1103/physreva.81.012114openalex-snapshot
Probing macroscopic quantum states with a sub-Heisenberg accuracy
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Detector dependency of diffusive quantum monitorings
inferred← citeshttps://doi.org/10.1103/physreva.97.033822openalex-snapshot
Real-time Kalman filter: Cooling of an optically levitated nanoparticle
inferred← citeshttps://doi.org/10.1103/physreva.97.052317openalex-snapshot
Resource theory of non-Gaussian operations
inferred← citeshttps://doi.org/10.1103/physrevb.104.184422openalex-snapshot
Engineered dissipation induced entanglement transition in quantum spin chains: From logarithmic growth to area law
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Stochastic feedback control of quantum transport to realize a dynamical ensemble of two nonorthogonal pure states
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Entanglement of Macroscopic Test Masses and the Standard Quantum Limit in Laser Interferometry
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Are Dynamical Quantum Jumps Detector Dependent?
inferred← citeshttps://doi.org/10.1103/physrevlett.115.180407openalex-snapshot
Quantum State Smoothing
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Continuous Quantum Measurement and the Emergence of Classical Chaos
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Quantum mechanics, control theory and quantum control
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Stochastic Differential Equations for Trace-Class Operators and Quantum Continual Measurements
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Classical robustness of quantum unravellings
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Open quantum systems are harder to track than open classical systems
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Return to equilibrium for some quantum trajectories
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Open quantum systems and quantum stochastic processes
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