Classical interventions in quantum systems. II. Relativistic invariance

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Abstract
If several interventions performed on a quantum system are localized in mutually spacelike regions, they will be recorded as a sequence of “quantum jumps” in one Lorentz frame, and as a different sequence of jumps in another Lorentz frame. Conditions are specified that must be obeyed by the various operators involved in the calculations, so that these two different sequences lead to the same observable results. These conditions are similar to the equal-time commutation relations in quantum field theory. They are sufficient to prevent superluminal signaling. (The derivation of these results does not require most of the contents of the preceding article [Peres, Phys. Rev. A 61, 022116 (2000)]. What is needed is briefly summarized here, so that the present article is essentially self-contained.)