Non-perturbative gadget for topological quantum codes

Details Non-perturbative gadget for topological quantum codes Non-perturbative gadget for topological quantum codes

2011-07-13

arxiv.org/abs/1107.2697v3

Phys. Rev. Lett. 107, 250502 (2011)

Physics

Quantum Physics

13 pages, 8 figures, PRL Accepted

Scientific paper

10.1103/PhysRevLett.107.250502

Many-body entangled systems, in particular topologically ordered spin systems proposed as resources for quantum information processing tasks, often involve highly non-local interaction terms. While one may approximate such systems through two-body interactions perturbatively, these approaches have a number of drawbacks in practice. Here, we propose a scheme to simulate many-body spin Hamiltonians with two-body Hamiltonians non-perturbatively. Unlike previous approaches, our Hamiltonians are not only exactly solvable with exact ground state degeneracy, but also support completely localized quasi-particle excitations, which are ideal for quantum information processing tasks. Our construction is limited to simulating the toric code and quantum double models, but generalizations to other non-local spin Hamiltonians may be possible.

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