Gisin's theorem for two d-dimensional systems based on the Collins-Gisin-Linden-Masser-Popescu inequality

TL;DR

This paper proves that all pure entangled states of two d-dimensional quantum systems violate the CGLMP inequality, extending Gisin's theorem to higher-dimensional systems.

Contribution

It establishes Gisin's theorem for two qudits by analytically demonstrating violation of the CGLMP inequality for all pure entangled states.

Findings

All pure entangled two-qudit states violate the CGLMP inequality.

Extension of Gisin's theorem to higher-dimensional systems.

Analytical proof of violation for all pure entangled states.

Abstract

In this Rapid Communication, we show analytically that all pure entangled states of two d-dimensional systems (qudits) violate the Collins-Gisin-Linden-Masser-Popoescu (CGLMP) inequality. Thus one has the Gisin's theorem for two qudits.