Quantum Monogamy with Predetermined Events

TL;DR

This paper explores quantum monogamy and introduces the concept of subjective correlation, showing that correlation coefficients can vary with measurement context even when events are predetermined, challenging classical assumptions.

Contribution

It proposes the idea of subjective correlation to explain quantum monogamy phenomena occurring with fixed, pre-determined events, highlighting the role of measurement grouping.

Findings

Quantum monogamy can occur with fixed, pre-determined events.

Correlation coefficients depend on measurement grouping and context.

Introduction of subjective correlation as a new explanatory concept.

Abstract

The concept of correlation appears straightforward: measurement outcomes coincide, and patterns emerge. For any record of events, the coefficients are uniquely determined. Thus, if correlations change spontaneously, as seen in quantum monogamy, then individual behavior must have changed first. Surprisingly, this is not always true. When two observables are mutually exclusive, they cannot coincide objectively and need to be grouped across time. Yet, sectioning the flow of events into "iterations" is not trivial in this case. Even with blind windows of coincidence, the same order of outcomes can produce different coefficients of correlation, depending on the number of joint measurements. Therefore, quantum monogamy can happen with fixed pre-determined events. A new concept ("subjective correlation") is required to explain this phenomenon.