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Heisenberg Picture Approach to the Stability of Quantum Markov Systems

Pan, Yu; Amini, Hadis; Miao, Zibo; Gough, John; Ugrinovskii, Valery; James, Matthew R.


Quantum Markovian systems, modeled as unitary dilations in the quantum stochastic calculus of Hudson and Parthasarathy, have become standard in current quantum technological applications. This paper investigates the stability theory of such systems. Lyapunov-type conditions in the Heisenberg picture are derived in order to stabilize the evolution of system operators as well as the underlying dynamics of the quantum states. In particular, using the quantum Markov semigroup associated with...[Show more]

CollectionsANU Research Publications
Date published: 2014-06-20
Type: Journal article
Source: Journal of Mathematical Physics
DOI: 10.1063/1.4884300


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