Lorentz-Invariant "Elements of Reality" and the Question of Joint Measurability of Commuting Observables

TL;DR

This paper demonstrates that joint measurements of commuting observables in pre- and post-selected quantum systems inherently disturb each other, challenging the possibility of a Lorentz-invariant realistic interpretation of quantum mechanics without locality.

Contribution

It reveals that joint measurements of commuting variables in such systems always cause disturbance, impacting interpretations of quantum theory that aim for Lorentz invariance without locality.

Findings

Joint measurements disturb each other in pre- and post-selected systems.

Implications for Lorentz-invariant realistic interpretations of quantum mechanics.

Challenges the assumption of non-disturbance in joint measurements.

Abstract

It is shown that the joint measurements of some physical variables corresponding to commuting operators performed on pre- and post-selected quantum systems invariably disturb each other. The significance of this result for recent proofs of the impossibility of realistic Lorentz invariant interpretation of quantum theory (without assumption of locality) is discussed.