典型文献
Applying the Theory of Numerical Radius of Operators to Obtain Multi-observable Quantum Uncertainty Relations
文献摘要：
Quantum uncertainty relations are mathematical inequalities that describe the lower bound of products of standard deviations of observables(i.e.,bounded or unbounded self-adjoint operators).By revealing a connection between standard deviations of quantum observables and numerical radius of operators,we establish a universal uncertainty relation for k observables,of which the formulation depends on the even or odd quality of k.This universal uncertainty relation is tight at least for the cases k=2 and k=3.For two observables,the uncertainty relation is a simpler reformulation of Schr?dinger's uncertainty principle,which is also tighter than Heisenberg's and Robertson's uncertainty relations.
文献关键词：
中图分类号：
作者姓名：
Kan HE;Jin Chuan HOU
作者机构：
College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,P.R.China;College of Information and Computer Science,Taiyuan University of Technology,Taiyuan 030024,P.R.China
文献出处：
引用格式：
[1]Kan HE;Jin Chuan HOU-.Applying the Theory of Numerical Radius of Operators to Obtain Multi-observable Quantum Uncertainty Relations)[J].数学学报（英文版）,2022(07):1241-1254
A类：
Obtain,reformulation
B类：
Applying,Theory,Numerical,Radius,Operators,Multi,Quantum,Uncertainty,Relations,uncertainty,relations,are,mathematical,inequalities,that,describe,lower,products,standard,deviations,observables,unbounded,self,adjoint,operators,By,revealing,connection,between,quantum,numerical,radius,establish,universal,which,depends,even,odd,quality,This,least,cases,For,two,simpler,Schr,dinger,principle,also,tighter,than,Heisenberg,Robertson
AB值：
0.565356
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