A possible solution to the second entanglement paradox

TL;DR

This paper proposes a solution to the second entanglement paradox by extending the Bloch representation of quantum mechanics, which clarifies the nature of entangled states and their relation to physical existence.

Contribution

It introduces an extended Bloch representation that completes quantum mechanics, providing a consistent way to interpret entangled states and resolve the paradox.

Findings

Extended Bloch representation allows for additional pure states.

Entangled states become fully intelligible within this framework.

The solution addresses the second entanglement paradox effectively.

Abstract

Entangled states are in conflict with a general physical principle which expresses that a composite entity exists if and only if its components also exist, and the hypothesis that pure states represent the actuality of a physical entity, i.e., its 'existence'. A possible way to solve this paradox consists in completing the standard formulation of quantum mechanics, by adding more pure states. We show that this can be done, in a consistent way, by using the extended Bloch representation of quantum mechanics, recently introduced to provide a possible solution to the measurement problem. Hence, with the solution proposed by the extended Bloch representation of quantum mechanics, the situation of entangled states regains full intelligibility.