Mutually unbiased bases for continuous variables

被引：26
|
作者：
Weigert, Stefan [1 ]
Wilkinson, Michael [2 ]
机构：
[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England
[2] Open Univ, Dept Math & Stat, Milton Keynes MK7 6AA, Bucks, England
来源：
PHYSICAL REVIEW A | 2008年 / 78卷 / 02期
关键词：
D O I：
10.1103/PhysRevA.78.020303
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The concept of mutually unbiased bases is studied for N pairs of continuous variables. To find mutually unbiased bases reduces, for specific states related to the Heisenberg-Weyl group, to a problem of symplectic geometry. Given a single pair of continuous variables, three mutually unbiased bases are identified while five such bases are exhibited for two pairs of continuous variables. For N=2, the golden ratio occurs in the definition of these mutually unbiased bases suggesting the relevance of number theory not only in the finite-dimensional setting.
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页数：4
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