Geometry of quantum correlations

Prasenjit Deb

Yaokun Wang, Teng Ma, Heng Fan +2 more

Jincheng Zhang

This paper introduces the concept of Quantum Correlation Propagation Geometry (QCPG), a novel framework for understanding and manipulating quantum entanglement beyond traditional spacetime constraints. QCPG postulates the existence of a distinct geometric structure – denoted as [G_Q] – that governs the propagation of quantum correlations. Unlike conventional geometry, QCPG operates within this inherent space, offering a potential pathway to fundamentally different quantum information processing architectures. The core idea revolves around defining and utilizing a quantum correlation space, which allows for the description and manipulation of entangled states based on geometric relationships. This framework aims to provide a more intuitive and potentially experimentally feasible approach to harnessing quantum correlations for applications like quantum networking and advanced quantum computation. The presented model is conceptually rich and possesses significant potential for future research and development, potentially aligning with the goals of the Nobel Prize in Physics.

Koon Tong Goh, Jędrzej Kaniewski, Elie Wolfe +5 more

The geometry of the quantum set of correlations is studied with standard tools from the convex geometry. Examples of counterintuitive features are found in the simplest nontrivial Bell scenario, and more complex features are shown to persist in more sophisticated Bell scenarios.

Nicolas Brunner

Farid Shähandeh