Kahler fibrations in quantum information theory

被引：0
|
作者：
Contreras, Ivan [1 ]
Schiavina, Michele [2 ,3 ]
机构：
[1] Amherst Coll, Dept Math, Amherst, MA 01002 USA
[2] Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, CH-8093 Zurich, Switzerland
[3] Swiss Fed Inst Technol, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland
来源：
MANUSCRIPTA MATHEMATICA | 2022年 / 168卷 / 3-4期
基金：
瑞士国家科学基金会;
关键词：
32Q15; 53D05; 94A15; 81Q70; FISHER INFORMATION;
D O I：
10.1007/s00229-021-01311-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss the fibre bundle of co-adjoint orbits of compact Lie groups, and show how it admits a compatible Kahler structure. The case of the unitary group allows us to reformulate the geometric framework of quantum information theory. In particular, we show that the Fisher information tensor gives rise to a structure that is sufficiently close to a Kahler structure to generalise some classical result on co-adjoint orbits.
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页码：325 / 349
页数：25
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