Quantum quasi-Markov processes in eventum mechanics dynamics, observation, filtering and control

DOI10.1007/s11128-012-0462-zzbMath1308.81124OpenAlexW2023403534MaRDI QIDQ352693

Vyacheslav P. Belavkin

Publication date: 5 July 2013

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11128-012-0462-z

zbMATH Keywords

quantum stochasticsquantum probabilityquantum trajectoriesquantum filteringconditionally Markov dynamicsquantum feedback control

Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20) Filtering in stochastic control theory (93E11) Signal detection and filtering (aspects of stochastic processes) (60G35) Optimal stochastic control (93E20) Quantum stochastic calculus (81S25) Quantum measurement theory, state operations, state preparations (81P15) Quantum control (81Q93)

Related Items (3)

Real-time simulation of H-P noisy Schrödinger equation and Belavkin filter ⋮ Belavkin filter for mixture of quadrature and photon counting process with some control techniques ⋮ Quantum filtering for a two-level atom driven by two counter-propagating photons

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Theory of the control of observable quantum systems
• A stochastic posterior Schrödinger equation for counting nondemolition measurement
• Quantum Ito's formula and stochastic evolutions
• A continuous observation of photon emission
• Quantum continual measurements and a posteriori collapse on CCR
• Quantum stochastic calculus and quantum nonlinear filtering
• On the generators of quantum dynamical semigroups
• On stochastic generators of completely positive cocycles
• A dynamical theory of quantum measurement and spontaneous localization
• Quantum stochastic positive evolutions: Characterization, construction, dilation
• Measurement, filtering and control in quantum open dynamical systems.
• A new form and a ⋆-algebraic structure of quantum stochastic integrals in Fock space
• An Introduction to Quantum Filtering
• The unified Ito formula has the pseudo-Poisson structure df(x)=[f(x+b)−f(x)μνdaνμ]
• The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups
• Stochastic Schrödinger equations
• On quantum error-correction by classical feedback in discrete time
• Feedback control of quantum state reduction
• Stochastic Optimal Control with Noisy Observations †
• A posterior Schrödinger equation for continuous nondemolition measurement
• A quantum nonadapted Ito formula and stochastic analysis in Fock scale

This page was built for publication: Quantum quasi-Markov processes in eventum mechanics dynamics, observation, filtering and control