Physical Realizability and Preservation of Commutation and Anticommutation Relations for $n$-Level Quantum Systems

DOI10.1137/130931606zbMath1336.81044OpenAlexW2302181387MaRDI QIDQ2796748

Ian R. Petersen, Zibo Miao, Luis A. Duffaut Espinosa, Valery A. Ugrinovskii, Matthew R. James

Publication date: 29 March 2016

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130931606

zbMATH Keywords

open quantum systemsquantum stochastic differential equationsphysical realizability\(\mathrm{su}(n)\)finite level quantum systems

Mathematics Subject Classification ID

Stochastic systems and control (93E99) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Stochastic systems in control theory (general) (93E03) Spinor and twistor methods applied to problems in quantum theory (81R25) Quantum stochastic calculus (81S25) Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum control (81Q93)

Related Items (5)

On physical realizability of nonlinear quantum stochastic differential equations ⋮ Moment Dynamics and Observer Design for a Class of Quasilinear Quantum Stochastic Systems ⋮ Structural decomposition for quantum two-level systems ⋮ Observer-based feedback control of two-level open stochastic quantum system ⋮ Coherent strong observers for a class of linear quantum stochastic systems with unknown inputs

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