{"title":"ON SOME CONSTRUCTIVE METHODS IN THE STUDIES OF COMPOUND STATES AND QUANTUM CHANNELS","authors":"Andrzej Jamiołkowski","doi":"10.1142/9789811217838_0006","DOIUrl":"https://doi.org/10.1142/9789811217838_0006","url":null,"abstract":"","PeriodicalId":191061,"journal":{"name":"Quantum Bio-Informatics VI","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117327506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A CONSTRUCTION OF DYNAMICAL ENTROPY ON CAR ALGEBRAS KYOUHEI OHMURA","authors":"Kyouhei Ohmura, Noboru Watanabe","doi":"10.1142/9789811217838_0011","DOIUrl":"https://doi.org/10.1142/9789811217838_0011","url":null,"abstract":"The dynamical entropy on von Neumann algebras defined by Accardi, Ohya and Watanabe (AOW entropy) is a natural noncommutative extension of the classical dynamical entropy. On the other hand, quantum spin lattice systems currently used in quantum computing and communication processes are mathematically described by $C^*$-algebras called CAR algebras. Therefore, in order to obtain the average amount of quantum information and to calculate the uncertainty of the dynamics of quantum spin systems, it is necessary to define dynamical entropy on CAR algebras. In this paper, we formulate dynamical entropy on CAR algebras based on the construction of the AOW entropy. Moreover, we compute the introduced entropy for a $2 times 2$ matrix algebra case which has relation to the quantum spin system.","PeriodicalId":191061,"journal":{"name":"Quantum Bio-Informatics VI","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127273734","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"HAS CHSH-INEQUALITY ANY RELATION TO EPR-ARGUMENT?","authors":"A. Khrennikov","doi":"10.1142/9789811217838_0008","DOIUrl":"https://doi.org/10.1142/9789811217838_0008","url":null,"abstract":"We emphasize the role of the precise correlations loophole in attempting to connect the CHSH type inequalities with the EPR-argument. The possibility to test theories with hidden variables experimentally by using such inequalities is questioned. The role of the original Bell inequality is highlighted. The interpretation of the CHSH inequality in the spirit of Bohr, as a new test of incompatibility, is presented. The positions of Bohr, Einstein, Podolsky, Rosen, Bell, Clauser, Horne, Shimony, Holt, De Broglie, Hertz, and Boltzmann on interrelation of theory and experiment are enlightened.","PeriodicalId":191061,"journal":{"name":"Quantum Bio-Informatics VI","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122920483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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