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Quantum stochastic calculus

https://doi.org/10.1007/bf01095973
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What this work says

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

inferredcites →https://doi.org/10.1002/cpa.3160140303openalex-snapshot
On a Hilbert space of analytic functions and an associated integral transform part I
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Structure des cocycles markoviens sur l'espace de Fock
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On dilating quantum dynamical semigroups with classical brownian motion
inferredcites →https://doi.org/10.1007/bf00534595openalex-snapshot
Quelques applications de la formule de changement de variables pour les semimartingales
inferredcites →https://doi.org/10.1007/bf01205670openalex-snapshot
The essentially commutative dilations of dynamical semigroups onM n
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/bfb0070306openalex-snapshot
Symmetric Hilbert Spaces and Related Topics
inferredcites →https://doi.org/10.1007/bfb0071705openalex-snapshot
Quantum Probability and Applications to the Quantum Theory of Irreversible Processes
inferredcites →https://doi.org/10.1007/bfb0077627openalex-snapshot
Elements de probabilites quantiques
inferredcites →https://doi.org/10.1016/0022-1236(71)90017-6openalex-snapshot
Decomposable processes and continuous products of probability spaces
inferredcites →https://doi.org/10.1016/0022-1236(82)90066-0openalex-snapshot
The Itô-Clifford integral
inferredcites →https://doi.org/10.1016/0022-1236(86)90047-9openalex-snapshot
Stochastic integral representation of bounded quantum martingales in Fock space
inferredcites →https://doi.org/10.1016/0047-259x(77)90035-5openalex-snapshot
Quantum mechanical Wiener processes
inferredcites →https://doi.org/10.1016/b978-0-12-585001-8.x5001-6openalex-snapshot
Methods of Modern Mathematical Physics
inferredcites →https://doi.org/10.1063/1.522979openalex-snapshot
Completely positive dynamical semigroups of N -level systems
inferredcites →https://doi.org/10.1070/rm1982v037n06abeh004021openalex-snapshot
Operator stochastic differential equations and stochastic semigroups
inferredcites →https://doi.org/10.1090/s0002-9947-1956-0077017-0openalex-snapshot
Spectral type of the shift transformation of differential processes with stationary increments
inferredcites →https://doi.org/10.1103/physreva.31.3761openalex-snapshot
Input and output in damped quantum systems: Quantum stochastic differential equations and the master equation
inferredcites →https://doi.org/10.2969/jmsj/00310157openalex-snapshot
Multiple Wiener Integral

What points at this work

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

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Entropy and Information Gain in Quantum Continual Measurements
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Applications of Quantum Stochastic Processes in Quantum Optics
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On a class of operators of the second quantization
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Quantum stochastic calculus and a boson Levy theorem
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Indirect Measurements of a Harmonic Oscillator
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Multi-point Gaussian States, Quadratic–Exponential Cost Functionals, and Large Deviations Estimates for Linear Quantum Stochastic Systems
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Direct coupling coherent quantum observers with discounted mean square performance criteria and penalized back-action
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Quantum Filtering for Squeezed Noise Inputs
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Quantum filtering for systems driven by fields in single photon states and superposition of coherent states using non-Markovian embeddings
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A representation free quantum stochastic calculus
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Fault tolerant quantum filtering and fault detection for quantum systems
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Quantum linear coherent controller synthesis: A linear fractional representation approach
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Fault tolerant filtering and fault detection for quantum systems driven by fields in single photon states
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The SLH framework for modeling quantum input-output networks
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Scattering of polarized laser light by an atomic gas in free space: A quantum stochastic differential equation approach
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A transverse hamiltonian variational technique for open quantum stochastic systems and its application to coherent quantum control
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Quantum Risk-Sensitive Control
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A unified framework for fault tolerant quantum filtering and fault detection
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Directly coupled observers for quantum harmonic oscillators with discounted mean square cost functionals and penalized back-action
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A phase-space formulation of the Belavkin-Kushner-Stratonovich filtering equation for nonlinear quantum stochastic systems
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A Modified Frequency Domain Condition for the Physical Realizability of Linear Quantum Stochastic Systems
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Kinetic State and Emergence of Markovian Dynamics in Exactly Solvable Models of Open Quantum Systems
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An Introduction to Quantum Filtering
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ON THE SEPARATION PRINCIPLE IN QUANTUM CONTROL
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CONSTRUCTIVE UNIVERSAL CENTRAL LIMIT THEOREMS BASED ON INTERACTING FOCK SPACES
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Parametric randomization, complex symplectic factorizations, and quadratic-exponential functionals for Gaussian quantum states
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Open Systems Dynamics for Propagating Quantum Fields
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Chaotic Kabanov Formula for the Azéma Martingales
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Quantum filtering in coherent states
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A Transverse Hamiltonian Approach to Infinitesimal Perturbation Analysis of Quantum Stochastic Systems
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Photoemissive sources and quantum stochastic calculus
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Quantum continual measurements: the spectrum of the output
inferred← citeshttps://doi.org/10.48550/arxiv.1205.3566openalex-snapshot
Risk-sensitive Dissipativity of Linear Quantum Stochastic Systems under Lur'e Type Perturbations of Hamiltonians
inferred← citeshttps://doi.org/10.48550/arxiv.1506.07653openalex-snapshot
Weyl variations and local sufficiency of linear observers in the mean square optimal coherent quantum filtering problem
inferred← citeshttps://doi.org/10.48550/arxiv.1512.08751openalex-snapshot
Evolution of quasi-characteristic functions in quantum stochastic systems with Weyl quantization of energy operators
inferred← citeshttps://doi.org/10.48550/arxiv.1711.03503openalex-snapshot
Invariant states of linear quantum stochastic systems under Weyl perturbations of the Hamiltonian and coupling operators
inferred← citeshttps://doi.org/10.48550/arxiv.cond-mat/0102171openalex-snapshot
Exact Langevin equation for electrons in thermostat, Fokker-Planck kinetics and flicker noise
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Quantum filtering: a reference probability approach
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On the separation principle of quantum control
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Filtering, Stability, and Robustness
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