no-go theorem for one-way quantum computing on naturally occurring two-level systems

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	no-go theorem for one-way quantum computing on naturally occurring two-level systems
	Chen Jianxin ; Chen Xie ; Duan Runyao ; Ji Zhengfeng ; Zeng Bei
刊名	PHYSICAL REVIEW A
	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
内容类型	期刊论文
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):-.