Interdependence analysis in a composite quantum system and its application to partitioning of a quantum dot register

✍ Scribed by Hiroshi Watanabe

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 165 KB
• Volume: 31
• Category: Article
• ISSN: 0749-6036
• DOI: 10.1006/spmi.2002.1040

✦ Synopsis

A new entropic measure of interdependence among quantum systems is introduced, and applied successfully to partitioning of a quantum register consisting of an array of quantum dots, according to the bit pattern of the register. In classical systems the degree of interdependence among partial systems in a whole system is sometimes estimated by the difference between the sum of the entropies of the partial systems and the entropy of the whole system. However, whether this seemingly natural idea works also in quantum systems is not so clear, considering its peculiar nature. The present paper examines the use of von Neumann entropy as a measure of the degree of inter-dependence among quantum systems, proposes a possible approach to partitioning of a composite quantum system into some constituent components, based on the notion of minimum average entropy, and discusses its merits by showing examples. While consideration is focused on structure analysis of a quantum dot register in a static case, a brief discussion is made also on the time evolution of the state of the register.