A heralded two-qutrit entangled state

TL;DR

This paper presents a scheme to generate heralded two-qutrit entangled states using polarized photons and optical circuits, enabling applications in quantum communication and tests of quantum nonlocality.

Contribution

It introduces a novel optical scheme for creating heralded two-qutrit entangled states from Bell pairs, including methods for constructing Bell pairs and producing unbalanced states.

Findings

Successfully proposes an optical circuit for two-qutrit entanglement

Demonstrates violation of CGLMP inequality with the state

Discusses potential applications in quantum cryptography and teleportation

Abstract

We propose a scheme for building a heralded two-qutrit entangled state from polarized photons. An optical circuit is presented to build the maximally entangled two-qutrit state from two heralded Bell pairs and ideal threshold detectors. Several schemes are discussed for constructing the two Bell pairs. We also show how one can produce an unbalanced two-qutrit state that could be of general purpose use in some protocols. In terms of applications of the maximally entangled qutrit state, we mainly focus on how to use the state to demonstrate a violation of the Collins-Gisin-Linden-Massar-Popescu inequality under the restriction of measurements which can be performed using linear optical elements and photon counting. Other possible applications of the state, such as for higher dimensional quantum cryptography, teleportation, and generation of heralded two-qudit states are also briefly discussed.