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Subject: Optics ; Physics
Title:
no-go theorem for one-way quantum computing on naturally occurring two-level systems
Author: Chen Jianxin ; Chen Xie ; Duan Runyao ; Ji Zhengfeng ; Zeng Bei
Keyword: Computational linguistics ; Ground state ; Hamiltonians ; Quantum computers ; Quantum electronics ; Quantum optics ; Theorem proving
Source: PHYSICAL REVIEW A
Issued Date: 2011
Volume: 83, Issue:5, Pages:-
Indexed Type: SCI ; EI
Department: Chen Jianxin; Duan Runyao Tsinghua Univ Tsinghua Natl Lab Informat Sci & Technol Dept Comp Sci & Technol Beijing 100084 Peoples R China. Chen Xie MIT Dept Phys Cambridge MA 02139 USA. Duan Runyao Univ Technol Fac Engn & Informat Technol Ctr Quantum Computat & Intelligent Syst QCIS Sydney NSW Australia. Ji Zhengfeng Perimeter Inst Theoret Phys Waterloo ON Canada. Ji Zhengfeng Chinese Acad Sci Inst Software State Key Lab Comp Sci Beijing Peoples R China. Zeng Bei Univ Waterloo Inst Quantum Comp Waterloo ON N2L 3G1 Canada. Zeng Bei Univ Waterloo Dept Combinator & Optimizat Waterloo ON N2L 3G1 Canada.
Sponsorship: 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
Abstract: 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.
English Abstract: 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.
Language: 英语
WOS ID: WOS:000290384600001
Citation statistics:
Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/16085
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
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,2011-01-01,83(5):-.
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