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Quantum Strassen's theorem

文献类型：期刊论文

作者Friedland, Shmuel1; Ge, Jingtong2,3; Zhi, Lihong2,4
刊名INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
出版日期2020-09-01
卷号23期号:3页码:29
关键词Density matrices and operators quantum marginals quantum couplings trace class operators Hilbert-Schmidt operators partial traces and weak operator convergence SDP problems related to quantum marginals Hausdorff metric
ISSN号0219-0257
DOI10.1142/S0219025720500204
英文摘要Strassen's theorem circa 1965 gives necessary and sufficient conditions on the existence of a probability measure on two product spaces with given support and two marginals. In the case where each product space is finite, Strassen's theorem is reduced to a linear programming problem which can be solved using flow theory. A density matrix of bipartite quantum system is a quantum analog of a probability matrix on two finite product spaces. Partial traces of the density matrix are analogs of marginals. The support of the density matrix is its range. The analog of Strassen's theorem in this case can be stated and solved using semidefinite programming. The aim of this paper is to give analogs of Strassen's theorem to density trace class operators on a product of two separable Hilbert spaces, where at least one of the Hilbert spaces is infinite-dimensional.
资助项目National Key Research Project of China[2018YFA0306702] ; National Natural Science Foundation of China[12071467]
WOS研究方向Mathematics ; Physics
语种英语
WOS记录号WOS:000607113000004
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/57961]  
专题中国科学院数学与系统科学研究院
通讯作者Zhi, Lihong
作者单位1.Univ Illinois, Dept Math & Comp Sci, Chicago, IL 60607 USA
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
3.Univ Technol Sydney, Sydney, NSW, Australia
4.Chinese Acad Sci, KLMM, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Friedland, Shmuel,Ge, Jingtong,Zhi, Lihong. Quantum Strassen's theorem[J]. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS,2020,23(3):29.
APA Friedland, Shmuel,Ge, Jingtong,&Zhi, Lihong.(2020).Quantum Strassen's theorem.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS,23(3),29.
MLA Friedland, Shmuel,et al."Quantum Strassen's theorem".INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 23.3(2020):29.

入库方式： OAI收割

来源：数学与系统科学研究院

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