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Subject: Physics
Title:
rank reduction for the local consistency problem
Author: Chen Jianxin ; Ji Zhengfeng ; Klyachko Alexander ; Kribs David W. ; Zeng Bei
Source: JOURNAL OF MATHEMATICAL PHYSICS
Issued Date: 2012
Volume: 53, Issue:2, Pages:-
Indexed Type: SCI
Department: Chen Jianxin; Kribs David W.; Zeng Bei Univ Guelph Dept Math & Stat Guelph ON N1G 2W1 Canada. Chen Jianxin; Ji Zhengfeng; Kribs David W.; Zeng Bei Univ Waterloo Inst Quantum Comp Waterloo ON N2L 3G1 Canada. Ji Zhengfeng Chinese Acad Sci Inst Software State Key Lab Comp Sci Beijing Peoples R China. Klyachko Alexander Bilkent Univ Dept Math Ankara Turkey.
Sponsorship: NSERC 400160, 400233, 400500; NSF of China 61179030, 60736011, 60721061; ARO; Ontario Early Researcher Award 048142; CIFAR
Abstract: We address the problem of how simple a solution can be for a given quantum local consistency instance. More specifically, we investigate how small the rank of the global density operator can be if the local constraints are known to be compatible. We prove that any compatible local density operators can be satisfied by a low rank global density operator. Then we study both fermionic and bosonic versions of the N-representability problem as applications. After applying the channel-state duality, we prove that any compatible local channels can be obtained through a global quantum channel with small Kraus rank. (C) 2012 American Institute of Physics. http://dx.doi.org/10.1063/1.3685644
English Abstract: We address the problem of how simple a solution can be for a given quantum local consistency instance. More specifically, we investigate how small the rank of the global density operator can be if the local constraints are known to be compatible. We prove that any compatible local density operators can be satisfied by a low rank global density operator. Then we study both fermionic and bosonic versions of the N-representability problem as applications. After applying the channel-state duality, we prove that any compatible local channels can be obtained through a global quantum channel with small Kraus rank. (C) 2012 American Institute of Physics. http://dx.doi.org/10.1063/1.3685644
Language: 英语
WOS ID: WOS:000300943500007
Citation statistics:
Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/15092
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
Chen Jianxin,Ji Zhengfeng,Klyachko Alexander,et al. rank reduction for the local consistency problem[J]. JOURNAL OF MATHEMATICAL PHYSICS,2012-01-01,53(2):-.
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