Alternative proofs for the superadditivity and affinity (in large system limit) of usual some fractional Fisher informations a probability density many variables are provided. They consequences fact that such can be interpreted as quantum kinetic energies. Erratum: The month information has been corrected from January to February. We apologize any inconvenience this may cause.

Abstract We show that for the tensor product of an entanglement-breaking quantum channel with an arbitrary quantum channel, both the minimum entropy of an output of the channel and the Holevo-Schumacher-Westmoreland capacity are additive. In addition, for the tensor product of two arbitrary quantum channels, we give a bound involving entanglement of formation for the amount of subadditivity (fo...

We reduce the number of open additivity problems in quantum information theory by showing that four of them are equivalent. Namely, we show that the conjectures of additivity of the minimum output entropy of a quantum channel, additivity of the Holevo expression for the classical capacity of a quantum channel, additivity of the entanglement of formation, and strong superadditivity of the entang...

This online supplement provides additional material to accompany “Framing Contingencies” by Ahn and Ergin. We characterize monotonicity, subadditivity, and superadditivity of the support function. We connect the case where the available partitions constitute a filtration and the case where all partitions are available. We define a local notion of transparency relative to a description of the st...

The fuzzy coalition game theory brings a more realistic tools for the mathematical modelling of the negotiation process and its results. In this paper we limit our attention to the fuzzy extension of the simple model of coalition games with side-payments, and in the frame of this model we study one of the elementary concepts of the coalition game theory, namely its "additivities", i.e., superad...

The superior colliculus generates and controls eye and head movements based on signals from different senses. The latest research on this structure enhances our understanding of the mechanisms of multisensory integration in the brain.

We show that for a particular class of quantum channels, which we call heralded channels, monogamy of squashed entanglement limits the superadditivity of Holevo capacity. Heralded channels provide a means to understand the quantum erasure channel composed with an arbitrary other quantum channel, as well as common situations in experimental quantum information that involve frequent loss of qubit...