Local controllability of quantum networks

Daniel Klaus Burgarth, Sougato Bose, Christoph Bruder, Vittorio Giovannetti

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Abstract

We give a sufficient criterion that guarantees that a many-body quantum system can be controlled by properly manipulating the (local) Hamiltonian of one of its subsystems. The method can be applied to a wide range of systems: it does not depend on the details of the couplings but only on their associated topology. As a special case, we prove that Heisenberg and Affleck-Kennedy-Lieb-Tasaki chains can be controlled by operating on one of the spins at their ends. In principle, arbitrary quantum algorithms can be performed on such chains by acting on a single qubit.
Original languageEnglish
Article number060305(R)
Number of pages4
JournalPhysical Review A
Volume79
Issue number6
DOIs
Publication statusPublished - 2009

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