Quantum state transformations and the Schubert calculus

被引：38
作者：
Daftuar, S
Hayden, P [1 ]
机构：
[1] CALTECH, Inst Quantum Informat, Pasadena, CA 91125 USA
[2] McGill Univ, Sch Comp Sci, Montreal, PQ H3A 2A7, Canada
来源：
ANNALS OF PHYSICS | 2005年 / 315卷 / 01期
基金：
美国国家科学基金会;
关键词：
entanglement; majorization; moment map; Schubert calculus;
D O I：
10.1016/j.aop.2004.09.012
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Recent developments in mathematics have provided powerful tools for comparing the eigenvalues of matrices related to each other via a moment map. In this paper, we survey some of the more concrete aspects of the approach with a particular focus on applications to quantum information theory. After discussing the connection between Horn's Problem and Nielsen's Theorem, we move on to characterizing the eigenvalues of the partial trace of a matrix. (C) 2004 Elsevier Inc. All rights reserved.
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收藏
页码：80 / 122
页数：43
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