Wigner measures and coherent quantum control

DOI10.1134/S0081543821020061zbMath1468.81067OpenAlexW3186024190MaRDI QIDQ2041541

Tudor S. Ratiu, O. G. Smolyanov, John E. Gough

Publication date: 23 July 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821020061

Mathematics Subject Classification ID

Feedback control (93B52) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum control (81Q93)

Cites Work

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• Hamiltonian and Feynman aspects of secondary quantization
• Feynman, Wigner, and Hamiltonian structures describing the dynamics of open quantum systems
• Wigner measures and quantum control
• Wigner measures on infinite-dimensional spaces and the Bogolyubov equations for quantum systems
• Transformations of measures via their generalized densities
• Wigner Function and Diffusion in a Collision‐Free Medium of Quantum Particles
• Hamiltonian Feynman path integrals via the Chernoff formula
• Quantum feedback networks: Hamiltonian formulation

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