complete characterization of the ground-space structure of two-body frustration-free hamiltonians for qubits
文献类型：期刊论文
| 作者 | Ji Zhengfeng ; Wei Zhaohui ; Zeng Bei |
| 刊名 | PHYSICAL REVIEW A
 |
| 出版日期 | 2011 |
| 卷号 | 84期号:4页码:- |
| 关键词 | Characterization Ground state Plant extracts Polynomial approximation Trees (mathematics) |
| ISSN号 | 1050-2947 |
| 中文摘要 | The problem of finding the ground state of a frustration-free Hamiltonian carrying only two-body interactions between qubits is known to be solvable in polynomial time. It is also shown recently that, for any such Hamiltonian, there is always a ground state that is a product of single- or two-qubit states. However, it remains unclear whether the whole ground space is of any succinct structure. Here, we give a complete characterization of the ground space of any two-body frustration-free Hamiltonian of qubits. Namely, it is a span of tree tensor network states of the same tree structure. This characterization allows us to show that the problem of determining the ground-state degeneracy is as hard as, but no harder than, its classical analog. |
| 英文摘要 | The problem of finding the ground state of a frustration-free Hamiltonian carrying only two-body interactions between qubits is known to be solvable in polynomial time. It is also shown recently that, for any such Hamiltonian, there is always a ground state that is a product of single- or two-qubit states. However, it remains unclear whether the whole ground space is of any succinct structure. Here, we give a complete characterization of the ground space of any two-body frustration-free Hamiltonian of qubits. Namely, it is a span of tree tensor network states of the same tree structure. This characterization allows us to show that the problem of determining the ground-state degeneracy is as hard as, but no harder than, its classical analog. |
| 学科主题 | Optics ; Physics |
| 收录类别 | SCI ; EI |
| 资助信息 | NSF of China60736011; Government of Canada through Industry Canada; Province of Ontario through the Ministry of Research Innovation; CQT WBSR-710-000-007-271, R-710-000-008-271; NSERC; CIFAR |
| 语种 | 英语 |
| WOS记录号 | WOS:000296284200002 |
| 公开日期 | 2013-10-08 |
| 源URL | [http://ir.iscas.ac.cn/handle/311060/16073]  |
| 专题 | 软件研究所_软件所图书馆_期刊论文 |
| 推荐引用方式 GB/T 7714 | Ji Zhengfeng,Wei Zhaohui,Zeng Bei. complete characterization of the ground-space structure of two-body frustration-free hamiltonians for qubits[J]. PHYSICAL REVIEW A,2011,84(4):-. |
| APA | Ji Zhengfeng,Wei Zhaohui,&Zeng Bei.(2011).complete characterization of the ground-space structure of two-body frustration-free hamiltonians for qubits.PHYSICAL REVIEW A,84(4),-. |
| MLA | Ji Zhengfeng,et al."complete characterization of the ground-space structure of two-body frustration-free hamiltonians for qubits".PHYSICAL REVIEW A 84.4(2011):-. |
入库方式： OAI收割
来源：软件研究所
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