Quantum correlations expressed as information and entropic inequalities for composite and noncomposite systems

16th Symmetries in Science

Man'ko, Margarita A.^1 ; Man'ko, Vladimir I.^1

P N Lebedev Physical Institute, Leninskii Prospect 53, Moscow

119991, Russia^1

关键词: Conditional probability distributions;    Density operators;    Quantum correlations;    Quantum domain;    Shannon entropy;    Subadditivity;    Tsallis entropies;    Von Neumann entropy;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/538/1/012016/pdf
DOI  :  10.1088/1742-6596/538/1/012016

来源: IOP

【 摘 要 】

For noncomposite systems in classical and quantum domains, we obtain new inequalities such as the subadditivity and strong subadditivity conditions for Shannon entropies and information determined by the probability distributions and for von Neumann entropies of quantum states determined by the density operators. We extend the relations of Shannon and Tsallis entropies to the entropies of conditional probability distributions known for composite systems to the case of noncomposite systems. We give a review of the approach to construct the tomographic-probability distributions for qudit systems and present the entropic and information inequalities for spin tomograms, as well as the subadditivity and strong subadditivity conditions for tomograms of the both noncomposite and composite system states.