互无偏基完备系统的刚性性质

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Open Systems & Information Dynamics Pub Date : 2021-09-01 DOI:10.1142/S1230161221500128

M. Matolcsi, M. Weiner

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引用次数: 0

摘要

假设对于[公式:见文]中的某些单位向量[公式:见文]，我们有对于任何[公式:见文][公式:见文][公式:见文]正交于[公式:见文]或[公式:见文](即，[公式:见文]和[公式:见文]是无偏的)。我们证明了如果[公式:见文]，那么这些向量必然形成一个完备的互无偏基系统，即它们可以排列成[公式:见文]正交基，它们彼此互为无偏基。

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A Rigidity Property of Complete Systems of Mutually Unbiased Bases

Suppose that for some unit vectors [Formula: see text] in [Formula: see text] we have that for any [Formula: see text] [Formula: see text] is either orthogonal to [Formula: see text] or [Formula: see text] (i.e., [Formula: see text] and [Formula: see text] are unbiased). We prove that if [Formula: see text], then these vectors necessarily form a complete system of mutually unbiased bases, that is, they can be arranged into [Formula: see text] orthonormal bases, all being mutually unbiased with respect to each other.

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来源期刊

Open Systems & Information Dynamics 工程技术-计算机：信息系统

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of the Journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems.