Partial order and divisor topology in a set of finite quantum systems

来源 :The XXIX International Colloquium on Group-Theoretical Metho | 被引量 : 0次 | 上传用户：guobihuai

【摘要】

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【作者】

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Apostol Vourdas

【机构】

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University of Bradford, UK

【出处】

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The XXIX International Colloquium on Group-Theoretical Metho

【发表日期】

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2012年8期

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　　A whole-part theory is developed for a set of finite quantum systems with variables in Z(n).The partial order subsystem is defined,by embedding various attributes of the system (quantum states,density matrices,etc) into their counterparts in the supersystem (for m|n).The compatibility of these embeddings is studied.The concept of ubiquity is introduced for quantities which fit with this structure.It is shown that various entropic quantities are ubiquitous.The sets of various quantities become T0-topological spaces with the divisor topology,which encapsulates fundamental physical properties.By adding top elements we convert these sets into directed-complete partial orders.The continuity of various maps among these sets is studied.

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