6 papers
Achieving Thresholds via Standalone Belief Propagation on Surface Codes
Pedro Hack, Luca Menti, Francisco Lazaro +1
The standard approach to Belief Propagation (BP) decoding passes messages on the Tanner graph of the quantum error-correcting (QEC) code, and is known to lack a threshold for the s…
Percolation and matrix spectrum through NIB message passing
Pedro Hack
Given its computational efficiency and versatility, belief propagation is the most prominent message passing method in several applications. In order to diminish the damaging effec…
Belief propagation for networks with loops: The neighborhoods-intersections-based method
Pedro Hack
In order to diminish the damaging effect of loops on belief propagation (BP), the first explicit version of generalized BP for networks, the KCN-method, was recently introduced. De…
Belief propagation for general graphical models with loops
Pedro Hack, Jonas Hitter, Christian B. Mendl +1
There is an increasing interest in scaling tensor network methods through belief propagation (BP), as well as increasing the accuracy of BP through tensor network methods. We devel…
Order-theoretic models for decision-making: Learning, optimization, complexity and computation
Pedro Hack
The study of intelligent systems explains behaviour in terms of economic rationality. This results in an optimization principle involving a function or utility, which states that t…
Universality and classification of elementary thermal operations
Pedro Hack, Christian B. Mendl
Elementary thermal operations are thermal operations that act non-trivially on at most two energy levels of a system at the same time. They were recently introduced in order to bri…