PRACQSYS 2018: Principles and Applications of Control in Quantum Systems

Collection PRACQSYS 2018: Principles and Applications of Control in Quantum Systems

Organizer(s) Brion, Etienne ; Diamanti, Eleni ; Ourjoumtsev, Alexei ; Rouchon, Pierre

Date(s) 02/07/2018 - 06/07/2018

linked URL https://sites.google.com/view/mcqs2018/pracqsys-2018

00:00:00 / 00:00:00

28 29

On the structure of quantum Markov semigroups

By Franco Fagnola

We discuss the relationships between the decoherence-free subalgebra and the structure of the fixed point subalgebra of a quantum Markov semigroup on B(h) with a faithful normal invariant state. We show that atomicity of the decoherence-free subalgebra is equivalent to typical splittings of B(h) into the a subalgebra where maps of the semigroup acts as endomorphisms and a remainder space. More-over, we characterize the set of reversible states.

Information about the video

Date of recording 06/07/2018
Date of publication 16/07/2018
Institution IHP
Licence CC BY-NC-ND
Format MP4

Domain(s)

Computer Science

Bibliography

[1] J. Deschamps, F. Fagnola, E. Sasso and V. Umanita. Structure of Uniformly Continuous Quantum Markov Semigroups. Rev. Math. Phys. 28 (2016), 1650003-1 -- 1650003-32.
[2] F. Fagnola, E. Sasso and V. Umanita. Relationships between the decoherence-free algebra and the set of fixed points. Preprint.

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