Entropik belirsizlik bağıntıları ve kuantum bilişim kuramındaki bazı uygulamaları
Özet
Entropic uncertainty relations (EURs) have long been proposed as an alternative to Heisenberg uncertainty relations. In recent years, the subject has gained momentum, intensive study and application areas. With the replacement of entropy, quantifying the uncertainty, with standard deviation, these relations have been applied to many subjects such as quantum cryptology, entanglement witnessing, coherence and quantum discord. It has provided that more consistent and tight lower limits are obtained for the uncertainties between the measurement that will be applied to the system in the information processes. In this study, firstly, EURs are considered for systems that do not have a memory system, and the historical development of these relations is reviewed. Secondly, development of EURs,variations of lower bound and the effects of the quantum correlations on the uncertainties between incompatible measurements are discussed in the presence of a memory system. Finally, some current application areas of these relations are examined.