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Tsirelson’s Bound Prohibits Communication through a Disconnected Channel
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Why does nature only allow nonlocal correlations up to Tsirelson’s bound and not beyond? We construct a channel whose input is statistically independent of its output, but through which communication is nevertheless possible if and only if Tsirelson’s bound is violated. This provides a statistical justification for Tsirelson’s bound on nonlocal correlations in a bipartite setting.
Title: Tsirelson’s Bound Prohibits Communication through a Disconnected Channel
Description:
Why does nature only allow nonlocal correlations up to Tsirelson’s bound and not beyond? We construct a channel whose input is statistically independent of its output, but through which communication is nevertheless possible if and only if Tsirelson’s bound is violated.
This provides a statistical justification for Tsirelson’s bound on nonlocal correlations in a bipartite setting.
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