The reason for such a question is as follows.

Recent experimental results prove quantum leaps not to be instantaneous. Indeed, the duration of such leaps have been measured in carefully monitored experiments (cf, for instance: To catch and reverse a quantum jump mid-flight, Nature, 2019).

This suggests the possibility for such a duration measurement for the quantum leap associated (for instance) with the measurement of + or - 45° polarized photons jumping in the horizontal or vertical polarization eigen state due to a horizontal/vertical polarization measurement.

If such measurements of polarization measurements duration possibility would occur and turn out to discriminate horizontaly/verticaly polarized photons from +/- 45° polarized ones, the no-communication theorem wouldn't prevent Alice sending information to Bob (or the reverse) in EPRB experiments.

Indeed, in such a case, the reduced operator density on each side ( diag(1/2,1/2) ), the basis for the no-communication theorem, wouldn't be any more the maximal available information on each side because of this new potential quantum polarization measurement duration information.