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Stabilizing entangled states with quasi-local quantum dynamical semigroups

Francesco Ticozzi and Lorenza Viola
Philosophical Transactions: Mathematical, Physical and Engineering Sciences
Vol. 370, No. 1979, Principles and applications of quantum control engineering (28 November 2012), pp. 5259-5269
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/41739901
Page Count: 11
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Abstract

We provide a solution to the problem of determining whether a target pure state can be asymptotically prepared using dissipative Markovian dynamics under fixed locality constraints. Besides recovering existing results for a large class of physically relevant entangled states, our approach has the advantage of providing an explicit stabilization test solely based on the input state and constraints of the problem. Connections with the formalism of frustration-free parent Hamiltonians are discussed, as well as control implementations in terms of a switching output-feedback law.

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