4 papers
Two-Sided Bounds on Ground State Properties in Lattice Gauge Theories
Eloïc Vallée, Ariel Kelman, Julius Mildenberger +2
Gauge theories describe fundamental interactions in the standard model of particle physics and build effective theories in condensed matter physics. Being notoriously hard to simul…
Sector length distributions of recursively definable graph states through analytic combinatorics
Eloïc Vallée, Kenneth Goodenough, Paul E. Gunnells +2
The sector length distribution or Shor-Laflamme distribution (SLD) of quantum states is governed by the -body correlations amongst the different systems, and has been used to st…
Tailoring Bell inequalities to the qudit toric code and self testing
Eloïc Vallée, Owidiusz Makuta, Patrick Emonts +2
Bell nonlocality provides a robust scalable route to the efficient certification of quantum states. Here, we introduce a general framework for constructing Bell inequalities tailor…
Characterizing Translation-Invariant Bell Inequalities using Tropical Algebra and Graph Polytopes
Mengyao Hu, Eloïc Vallée, Tim Seynnaeve +3
Nonlocality is one of the key features of quantum physics, which is revealed through the violation of a Bell inequality. In large multipartite systems, nonlocality characterization…