A generalised framework for non-classicality of states II: Emergence of non locality and entanglement

TL;DR

This paper applies a unified formalism using pseudo projection operators to demonstrate how non-locality and entanglement emerge as manifestations of non-classicality, offering a new perspective beyond traditional models.

Contribution

It introduces a practical application of a formalism to systematically derive conditions for non-classicality, non-locality, and entanglement.

Findings

Non-locality and entanglement are shown to emerge from the formalism.

Provides a systematic way to derive infinite conditions for non-classicality.

Offers a perspective beyond traditional local hidden variable models.

Abstract

A unified formalism was developed in [S. Adhikary et. al., arXiv:1710.04371 [quant-ph]], for describing non-classicality of states by introducing pseudo projection operators in which both quantum logic and quantum probability are naturally embedded. In this paper we show, as the first practical application, how non-locality and entanglement emerge as two such important manifestations. It provides a perspective complementary to (i) the understanding of them that we have currently (in terms of LHV models) and (ii) to the algebraic approaches employed. The work also makes it possible to obtain, in a systematic manner, an infinite number of conditions for non-classicality, for future applications.