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Non-perturbative gadget for topological order

zqyin 添加于 2011-7-15 09:31 | 1733 次阅读 | 0 个评论

作者
Ocko SA, Yoshida B
摘要
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.
详细资料
- 文献种类:期刊
- 备注:arXiv:1107.2697v1; 8 pages, 6 figure
标签

topological order quantum computation
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