Mutually unbiased projectors and duality between lines and bases in finite quantum systems

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• 作者：M. Shalaby ; A. Vourdas
• 关键词：Finite quantum systems ; Mutually unbiased bases
• 刊名：Annals of Physics
• 出版年：2013
• 出版时间：October, 2013
• 年：2013
• 卷：337
• 期：Complete
• 页码：208-220
• 全文大小：430 K

文摘

Quantum systems with variables in the ring are considered, and the concepts of weak mutually unbiased bases and mutually unbiased projectors are discussed. The lines through the origin in the phase space, are classified into maximal lines (sets of points), and sublines (sets of points where ). The sublines are intersections of maximal lines. It is shown that there exists a duality between the properties of lines (resp., sublines), and the properties of weak mutually unbiased bases (resp., mutually unbiased projectors).