3 papers
quant-ph2022
Reconstructing the whole from its parts
Daniel Uzcátegui Contreras, Dardo Goyeneche
The quantum marginal problem consists in deciding whether a given set of marginal reductions is compatible with the existence of a global quantum state or not. In this work, we for…
math.PR2022
Locality of percolation for graphs with polynomial growth
Daniel Contreras, Sébastien Martineau, Vincent Tassion
Schramm's Locality Conjecture asserts that the value of the critical percolation parameter of a graph satisfying depends only on its local structure. In this note, we…
quant-ph2022
Design of optimization tools for quantum information theory
Daniel Uzcategui Contreras
In this thesis, we present optimization tools for different problems in quantum information theory. First, we introduce an algorithm for quantum estate estimation. The algorithm co…