Nonadditive conditional entropy and its significance for local realism

Nonadditive Conditional Entropy and Its Significance for Local Realism

Based on the form invariance of the structures given by Khinchin’s axiomatic foundations of information theory and the pseudoadditivity of the Tsallis entropy indexed by q , the concept of conditional entropy is generalized to the case of nonadditive (nonextensive) composite systems. The proposed nonadditive conditional entropy is classically nonnegative but can be negative in the quantum conte...

Local Realism and Conditional Probability

Emilio Santos has argued (Santos, Studies in History and Philosophy of Physics http://arxiv-org/abs/quant-ph/0410193) that to date, no experiment has provided a loophole-free refutation of Bell’s inequalities. He believes that this provides strong evidence for the principle of local realism, and argues that we should reject this principle only if we have extremely strong evidence. However, rece...

Tsallis Entropy and Conditional Tsallis Entropy of Fuzzy Partitions

The purpose of this study is to define the concepts of Tsallis entropy and conditional Tsallis entropy of fuzzy partitions and to obtain some results concerning this kind entropy. We show that the Tsallis entropy of fuzzy partitions has the subadditivity and concavity properties. We study this information measure under the refinement and zero mode subset relations. We check the chain rules for ...

Residual Entropy , Conditional Entropy And

Analysis of Bell-Type Experiments and Its Local Realism

We investigate the violation factor of the original Bell-Mermin inequality. Until now, we have used an assumption that the results of measurement are ±1. In this case, the maximum violation factor is as follows: ( ) ( ) −2 2 2 = even n n and ( ) ( ) −1 2 2 = odd n n . The quantum predictions by n-partite Greenberger-Horne-Zeilinger state violate the Bell-Mermin inequality by an amount that grow...