Multiple measurements on an uncollapsed entangled two-photon state

TL;DR

This paper explores how multiple measurements on an uncollapsed entangled two-photon state are possible within relativistic quantum mechanics, challenging traditional collapse interpretations and suggesting new space-time models for quantum states.

Contribution

It introduces a relativistic framework for multiple measurements on uncollapsed quantum states, providing conditions and implications for entangled photon pairs.

Findings

Multiple measurements can be performed on uncollapsed states under certain conditions.

Measurements by different detectors can be uncorrelated, violating standard quantum correlations.

Conservation laws may be violated in individual measurements but hold on average.

Abstract

The relativity of simultaneity together with definition of a quantum state's collapse result into experimental situations, where a multiple measurements can be taken on an uncollapsed quantum state. A quantum state's collapse space-time distribution is shown in a reference frame of a detector measuring the quantum system and in a reference frame moving relative to the detector. From their inspection follows, that under certain conditions, multiple measurements are allowed on the same uncollapsed quantum state. An application of the developed approach is shown on measurement of photon-pair state entangled in polarizations and energy. I derive conditions, under which two measurements can be taken on the uncollapsed photon-pair state. From allowance of multiple measurements on the same uncollapsed state follow serious consequences. For example, the measurements taken by both detectors in this situation are uncorrelated. Moreover, all the conservation laws could be violated in individual measurements, but not in mean value. This statement is proved on the two-photon state entangled in energy. This is in contradiction with experimental results observed by the detectors in rest relative to each other. If experimental results of the proposed experiment disagree with the predictions -- results measured on the quantum state are correlated, new space-time distribution of the quantum state's collapse, different from the Copenhagen interpretation, has to be proposed for proper solution of this situation.