The Most General Causal Theory of Correlations Restricted to Bounded Multipartite...
Talkat Quantum Physics and Statistical Causal Models (Simons Institute workshop, 2022) · 2022-04-27..04-29
summary
Constructs an explicit GHZ-based measurement protocol whose output distribution cannot be reproduced by any model built only from shared randomness plus arbitrary bipartite (or k‑partite bounded) nonlocal resources, proving quantum correlations are genuinely multipartite nonlocal. Proof uses the inflation technique together with two operational axioms — device replication and causality — to derive incompatible marginals, gives a general definition of the largest causal theory compatible with those axioms, and shows an operational model exists for the definition.
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chapters (15)
- 0:00Introduction
- 0:33Talk Overview
- 1:21Genuinely Non-local Correlations
- 3:00Generalization to N Parties
- 3:46Connection to Bell's Theorem
- 5:41Formalizing Theoretical Constraints
- 7:08Defining Sources
- 9:13Proof of Non-feasibility
- 10:16Inflation Technique Explained
- 14:18Quantum Protocol and Violation
- 18:59General Causal Theory of Correlations
- 22:45Operational Models
- 23:45Shared Randomness and Equivalence
- 28:30Conclusion and Future Work
- 32:51Questions and Answers