Self-Tests of Physical Theories in Networks and Their Implications for the Foundations of...
Talkat Quantum Physics and Statistical Causal Models (Simons Institute workshop, 2022) · 2022-04-27..04-29
summary
Proposes adaptive CHSH network tests that change the Bell graph to force mid‑node operations and shows two concrete tasks: one that rules out box‑world/PR‑box theories and a second (a triple‑CHSH construction plus convex‑optimization bounds) that rules out quantum theory over real Hilbert spaces. Proofs are noise‑robust, assume independent sources and allow shared randomness, and the paper cites three experimental implementations so far (one superconducting‑chip and two optical with independent sources) though detection or independence loopholes remain.
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