Transition effect matrices and quantum Markov chains

DOI10.1007/s10701-008-9269-2zbMath1179.81019OpenAlexW2047488223MaRDI QIDQ735186

Stanley P. Gudder

Publication date: 21 October 2009

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-008-9269-2

zbMATH Keywords

equilibrium statesquantum measurementquantum Markov chainsquantum effectssequential product

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Quantum measurement theory, state operations, state preparations (81P15)

Related Items (4)

Sequential product of quantum effects: an overview ⋮ The intersection operation in light of joint observables and Bell inequalities in operational probability theory ⋮ Open quantum random walks: ergodicity, hitting times, gambler's ruin and potential theory ⋮ Hidden Quantum Processes, Quantum Ion Channels, and 1/f^θ-Type Noise

Cites Work

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• States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
• A structure for quantum measurements
• Finitely correlated states on quantum spin chains
• Nonrelativistic quantum mechanics as a noncommutative Markov process
• The moment operators of phase space observables and their number margins
• Positive operator measures determined by their moment sequences
• Sequential products on effect algebras
• The theory of symmetry actions in quantum mechanics. With an application to the Galilei group
• The uniqueness question in the multidimensional moment problem with application to phase space observables.
• Sequential products of quantum measurements
• Normal covariant quantization maps
• Quantum random walks in one dimension
• Statistical Structure of Quantum Theory
• Sequential quantum measurements
• Moment operators of the Cartesian margins of the phase space observables
• Quantum walks with history dependence
• Quantization and noiseless measurements
• Phase space quantization and the operator moment problem
• Sequential product of quantum effects
• Operator integrals and phase space observables
• Fixed points of quantum operations
• Operational Quantum Physics
• A random walk approach to quantum algorithms
• Quantum Markov chains

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