3 papers
quant-ph2026
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…
quant-ph2025
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…
quant-ph2025
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…