We study generalized free fields (GFF) from the point of view information measures. first review conformal GFF, their holographic representation, and ambiguities in assignation algebras to regions that arise these theories. Then we mutual (MI) several geometric configurations. The MI displays unusual features at short distance limit: a leading volume term rather than an area term, logarithmic a...

We investigate how entangled inertial Unruh-DeWitt detectors are affected by interaction with a quantum field using nonperturbative method. Inertial in ($3+1$)-dimensional Minkowski spacetime instantaneous switching ($\ensuremath{\delta}$-switching) experience degradation of their initial entanglement as coupling strength scalar increases. Somewhat surprisingly, initially separable or weakly ca...

In their recent paper “Canalizing Boolean Functions Maximize Mutual Information,” Klotz et al. argued that canalizing Boolean functions maximize certain mutual informations by an argument involving Fourier analysis on the hypercube. This note supplies short new proofs of their results based on a coupling argument and also clarifies a point on the necessity of considering randomized functions.

1. Introduction Due to the lack of explicit closed form expressions of the mutual information for binary inputs, which were provided only for the BPSK and QPSK for the single input single output (SISO) case, [1], [2], [3], it is of particular importance to address connections between information theory and estimation theory for the multiuser case. Connections between information theory and esti...