Efficient scheme for three-photon Greenberger-Horne-Zeilinger state generation
Dong Ding, Fengli Yan

TL;DR
This paper presents an efficient linear optics-based method for generating three-photon GHZ states with entanglement in polarization and spatial modes, including noise mitigation strategies.
Contribution
It introduces a novel scheme utilizing devices and quantum nondemolition detection to produce GHZ states with entanglement in multiple degrees of freedom.
Findings
Successful design of devices for GHZ state generation
Creation of entanglement in polarization and spatial modes
Potential for large-scale GHZ state production
Abstract
We propose an efficient scheme for the generation of three-photon Greenberger-Horne-Zeilinger (GHZ) state with linear optics and postselection. Several devices are designed and a two-mode quantum nondemolition (QND) detection is introduced to obtain the desired state. It is worth noting that the states which have entanglement in both polarization and spatial degrees of freedom are created in one of the designed setups. The method described in the present scheme can create a large number of three-photon GHZ states in principle. We also discuss an approach to generate the desired GHZ state in the presence of channel noise.
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