Interpretation of wave function by coherent ensembles of trajectories

TL;DR

This paper revisits the ensemble interpretation of quantum mechanics by incorporating coherence of quantum trajectories, connecting it with Feynman's path integral, and addressing measurement paradoxes without wave function collapse.

Contribution

It introduces a coherence-based ensemble interpretation of wave functions, linking classical action phases with quantum trajectories, and challenges assumptions in quantum computing and cryptography.

Findings

Coherence of quantum trajectories explains wave function behavior.

The interpretation avoids measurement paradoxes without collapse.

Implications for quantum computing and cryptography are discussed.

Abstract

We re-use some original ideas of de~Broglie, Schr\"odiger, Dirac and Feynman to revise the ensemble interpretation of wave function in quantum mechanics. To this end we introduce coherence (auto-concordance) of ensembles of quantum trajectories in the space-time. The coherence condition accounts phases proportional to classical action, which are in foundation of the Feynman path integral technique. Therefore, our interpretation is entirely based on well-known and tested concepts and methods of wave mechanics. Similarly to other ensemble interpretations our approach allows us to avoid all problems and paradoxes related to wave function collapse during a measurement process. Another consequence is that no quantum computation or quantum cryptography method will ever work if it assumes that a particular q-bit represents the entire wave function.