Algebraic method in the analysis of decoherence-free subspaces in open quantum systems

DOI10.1007/s10773-017-3657-3zbMath1391.81104OpenAlexW2782250725MaRDI QIDQ1640091

Takeo Kamizawa

Publication date: 13 June 2018

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-017-3657-3

zbMATH Keywords

open quantum systemsdecoherence-free subspacecommon reducing subspacegeneralised shemesh criterion

Mathematics Subject Classification ID

Operator algebra methods applied to problems in quantum theory (81R15) Open systems, reduced dynamics, master equations, decoherence (81S22)

Cites Work

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• Completely positive linear maps on complex matrices
• Generalized Shemesh criterion, common invariant subspaces and irreducible completely positive superoperators
• Time-dependent decoherence-free subspace
• Common reducing unitary subspaces and decoherence in quantum systems
• On Functionally Commutative Quantum Systems
• Control of quantum states in decoherence-free subspaces
• Decompositions of Hilbert spaces, stability analysis and convergence probabilities for discrete-time quantum dynamical semigroups

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