no-go theorem for one-way quantum computing on naturally occurring two-level systems
文献类型：期刊论文
| 作者 | Chen Jianxin ; Chen Xie ; Duan Runyao ; Ji Zhengfeng ; Zeng Bei |
| 刊名 | PHYSICAL REVIEW A
 |
| 出版日期 | 2011 |
| 卷号 | 83期号:5页码:- |
| 关键词 | Computational linguistics Ground state Hamiltonians Quantum computers Quantum electronics Quantum optics Theorem proving |
| ISSN号 | 1050-2947 |
| 中文摘要 | The ground states of some many-body quantum systems can serve as resource states for the one-way quantum computing model, achieving the full power of quantum computation. Such resource states are found, for example, in spin-5/2 and spin-3/2 systems. It is, of course, desirable to have a natural resource state in a spin-1/2, that is, qubit system. Here, we give a negative answer to this question for frustration-free systems with two-body interactions. In fact, it is shown to be impossible for any genuinely entangled qubit state to be a nondegenerate ground state of any two-body frustration-free Hamiltonian. What is more, we also prove that every spin-1/2 frustration-free Hamiltonian with two-body interaction always has a ground state that is a product of single-or two-qubit states. In other words, there cannot be any interesting entanglement features in the ground state of such a qubit Hamiltonian. |
| 英文摘要 | The ground states of some many-body quantum systems can serve as resource states for the one-way quantum computing model, achieving the full power of quantum computation. Such resource states are found, for example, in spin-5/2 and spin-3/2 systems. It is, of course, desirable to have a natural resource state in a spin-1/2, that is, qubit system. Here, we give a negative answer to this question for frustration-free systems with two-body interactions. In fact, it is shown to be impossible for any genuinely entangled qubit state to be a nondegenerate ground state of any two-body frustration-free Hamiltonian. What is more, we also prove that every spin-1/2 frustration-free Hamiltonian with two-body interaction always has a ground state that is a product of single-or two-qubit states. In other words, there cannot be any interesting entanglement features in the ground state of such a qubit Hamiltonian. |
| 学科主题 | Optics ; Physics |
| 收录类别 | SCI ; EI |
| 资助信息 | QCIS, University of Technology, Sydney; NSF of China60736011, 60702080, 60721061; Government of Canada through Industry Canada; Province of Ontario through the Ministry of Research Innovation; NSERC; QuantumWorks |
| 语种 | 英语 |
| WOS记录号 | WOS:000290384600001 |
| 公开日期 | 2013-10-08 |
| 源URL | [http://ir.iscas.ac.cn/handle/311060/16085]  |
| 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 | Chen Jianxin,Chen Xie,Duan Runyao,et al. no-go theorem for one-way quantum computing on naturally occurring two-level systems[J]. PHYSICAL REVIEW A,2011,83(5):-. |
| APA | Chen Jianxin,Chen Xie,Duan Runyao,Ji Zhengfeng,&Zeng Bei.(2011).no-go theorem for one-way quantum computing on naturally occurring two-level systems.PHYSICAL REVIEW A,83(5),-. |
| MLA | Chen Jianxin,et al."no-go theorem for one-way quantum computing on naturally occurring two-level systems".PHYSICAL REVIEW A 83.5(2011):-. |
入库方式： OAI收割
来源：软件研究所
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