Quantum / CONCEPT
A fully symmetric triangle-local distribution with p(A = B = C) above 1/4
There is a distribution that is local in the triangle network and fully symmetric, with four outcomes per party, such that p(A = B = C) = 41/144 > 1/4. This answers yes the open problem of E. Bäumer, V. Gitton, T. Kriváchy, N. Gisin and R. Renner (arXiv:2405.08939), whose best local construction reached 1/4.
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A local fully symmetric distribution above one quarter
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Certified topology / UPSTREAM
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Structural connections
- A continuous source lift for triangle inflationstructural-affinity · Closed
- A local counterexample to the triangle inequality ineq_l1structural-affinity · Closed
- Elegant joint measurement inflation identitiesstructural-affinity · Closed
- Local coordinate permutations and outcome relabelingsstructural-affinity · Closed
- Local symmetry edges in the finite bound DAGstructural-affinity · Closed
- The actual coefficient functions used by every certificate consumerstructural-affinity · Closed
- The exact EJM inflation scorestructural-affinity · Closed
- Weighted inflation cancellationstructural-affinity · Closed
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