Entanglement and Properties of Composite Quantum Systems: a Conceptual and Mathematical Analysis
Giancarlo Ghirardi, Luca Marinatto, Tullio Weber
备注:
revised version: added subsec. 9.2.5; removed Theo. 12.1; minor grammatical changes; 57 pages; Latex; to be published on Journal of Statistical Physics
Various topics concerning the entanglement of composite quantum systems are considered with particular emphasis concerning the strict relations of such a problem with the one of attributing objective properties to the constituents. Most of the paper deals with composite systems in pure states. After a detailed discussion and a precise formal analysis of the case of systems of distinguishable particles, the problems of entanglement and the one of the properties of subsystems of systems of identical particles are thourougly discussed. This part is the most interesting and new and it focuses various subtle questions which have never been adequately discussed in the literature. Some inappropriate assertions which appeared in recent papers are analyzed. The relations of the main subject of the paper with the nonlocal aspects of quantum mechanics, as well as with the possibility of deriving Bell's inequality are also considered.
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ETH Zürich(苏黎世联邦理工学院);Joint Institute for Nuclear Research(联合核研究所);Swiss Finance Institute(瑞士金融研究所);University of Geneva(日内瓦大学)
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Center Leo Apostel for Interdisciplinary Studies(利奥·阿波斯泰尔跨学科研究中心);Brussels Free University(布鲁塞尔自由大学);University of British Columbia(不列颠哥伦比亚大学);Instituto de Filosofía y Ciencias de la Complejidad (IFICC)(哲学与复杂性研究所(IFICC))
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