期刊
PHYSICAL REVIEW A
卷 79, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.79.060305
关键词
quantum computing; topology
资金
- QIP-IRC and Wolfson College Oxford
- EPSRC-GB
- Royal Society and the Wolfson Foundation
- EC IST-FET project
- Swiss NSF
- NCCR Nanoscience
- Quantum Information research program of Centro Ennio De Giorgi of SNS
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.
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