Revivals of Bell nonlocality require non-Markovianity in both Schrödinger and Heisenberg pictures.
Measurements incompatible in Quantum Theory cannot be measured jointly in any other local theory
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abstract
It is well known that jointly measurable observables cannot lead to a violation of any Bell inequality - independent of the state and the measurements chosen at the other site. In this letter we prove the converse: every pair of incompatible quantum observables enables the violation of a Bell inequality and therefore must remain incompatible within any other no-signaling theory. While in the case of von Neumann measurements it is sufficient to use the same pair of observables at both sites, general measurements can require different choices. The main result is obtained by showing that for arbitrary dimension the CHSH inequality provides the Lagrangian dual of the characterization of joint measurability. This leads to a simple criterion for joint measurability beyond the known qubit case.
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quant-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Revivals of Bell nonlocality require Schr\"odinger and Heisenberg non-Markovianity
Revivals of Bell nonlocality require non-Markovianity in both Schrödinger and Heisenberg pictures.