Generalized rules for coherence transfer from local to global scale

TL;DR

This paper predicts a fundamental incompatibility between local and global coherence in entangled photon pairs, suggesting that local coherence cannot coexist with entanglement, which could impact quantum physics and information theory.

Contribution

It introduces the concept of total mutual intolerance between local and global coherence, a novel phenomenon in quantum physics.

Findings

Local coherence is eliminated at infinitesimal entanglement levels

Local and global coherence are fundamentally incompatible

Prediction of a new phenomenon impacting quantum theory

Abstract

A thought experiment with the path-entangled photon pairs is suggested. Its analysis predicts elimination of local coherence even at infinitesimally weak entanglement. Local coherence turns out to be totally incompatible with entanglement. We can thus predict and name a new phenomenon,total mutual intolerance between local and global coherence. Unlike incompatible observables like position and momentum, whose expectation values can still coexist under trade-off between the respective indeterminacies, there is no coexistence between local and global coherence. This prediction, if confirmed, may open some new venues in Quantum Physics and Quantum Information theory. Key words: Bi-photon, entanglement, correlations, coherence transfer