Aspects of Quantum Non-locality.

Lukas A. Saul

The Einstein-Podolsky-Rosen experiment and certain predictions of quantum mechanics in theoretical and experimental forms are sometimes described as exhibiting non-local action. We describe here an interpretation of one oft-discussed EPR experiment with a locally realistic model. We demonstrate a consistent description based on probabilistic measurement for Mermin and Aspect EPR setups, and show how Bell's theorem applies. Quantum non-locality is shown to be an interpretation dependent on deterministic measurement and vanishes when a treatment of probabilistic measurement and relevant information theory is included.

Stefano Pironio

Robert B. Griffiths

Gennaro Auletta, Shang-Yung Wang

In the previous chapter we have introduced the distinction between locality and non-locality. In this chapter we shall explore non- locality, one of the most amazing aspects of quantum mechanics. We shall discover that it consists in non-local correlations without transmission of signals. Along the way we will formulate and prove three important theorems as well as introduce the phenomenon of entanglement swapping that reveal unequivocally quantum non- locality.

N. David Mermin

Jonathan J. Dickau

Abstract: Quantum-Mechanical objects and phenomena have a different nature, and follow a different set of rules, from their classical counterparts. Two interesting aspects are the superposition of states and the non-locality of objects and phenomena. A third aspect, that gives quantum-mechanical objects which have common roots a non-local connection, is quantum entanglement. This paper takes up the question of whether these three properties of quantum mechanical systems facilitate the action of entropy’s increase, in terms of creating a condition where energy is dispersing, or going from being localized to being more spread out over time. Quantum Mechanics gives each quantum entity the nature of a container or vehicle for both energy and information, some part of which is necessarily non-local. The author feels that quantum-mechanical systems take on aspects of computing engines, in this context. He discusses how the onset of chaos is possible with even the simplest calculational processes, how these processes also result in complexity building, and why both of these dynamics contribute to the character of entropy as observed in ordinary affairs, or with macroscopic systems.