Physics – Quantum Physics
Scientific paper
2008-05-26
Phys. Rev. A 79, 060305(R) (2009)
Physics
Quantum Physics
4 pages, 3 figures
Scientific paper
10.1103/PhysRevA.79.060305
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.
Bose Sougato
Bruder Christoph
Burgarth Daniel
Giovannetti Vittorio
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