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Acta mathematica scientia,Series A ›› 2022, Vol. 42 ›› Issue (1): 1-8.

Ranks of Quantum States with Prescribed Reduced States in an Infinite Dimensional Quantum System

Shuyuan Yang^1,³(),Kan He^2,^3,*()

¹ College of Information and Computer, Taiyuan University of Technology, Taiyuan 030024
² Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences, Hefei 230026
³ College of Mathematics, Taiyuan University of Technology, Taiyuan 030024

Received:2021-01-27 Online:2022-02-01 Published:2022-02-23
Contact: Kan He E-mail:yangshuyuan2000@163.com;hekanquantum@163.com
Supported by:
the NSFC(11771011);the NSFC(12071336);the Key Laboratory of Quantum Information, University of Science and Technology of China

Abstract

CLC Number:

O177.1

Shuyuan Yang,Kan He. Ranks of Quantum States with Prescribed Reduced States in an Infinite Dimensional Quantum System[J].Acta mathematica scientia,Series A, 2022, 42(1): 1-8.

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References 7

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3	Li C K , Poon Y T , Wang X . Ranks of quantum states with prescribed reduced states. Electron J Linear Algebra, 2017, 34: 331- 342
4	Li C K , Poon Y T , Wang X . Ranks and eigenvalues of states with prescribed reduced states. Electron J Linear Algebra, 2014, 27: 935- 950
5	Fulton W . Eigenvalues, invariant factors, highest weights, and Schubert calculus. Bull Amer Math Soc, 2000, 37: 209- 249 doi: 10.1090/S0273-0979-00-00865-X
6	Horn A . Eigenvalues of sums of Hermitian matrices. Pac J Math, 1962, 12 (1): 225- 241 doi: 10.2140/pjm.1962.12.225
7	Bercovici H , Li W S , Timotin D . The Horn conjecture for sums of compact selfadjoint operators. Am J Math, 2009, 131: 1543- 1567

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Ranks of Quantum States with Prescribed Reduced States in an Infinite Dimensional Quantum System

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