Entanglement-efficiency trade-offs in the fusion-based generation of photonic GHZ-like states

TL;DR

This paper explores the trade-offs between entanglement quality and efficiency in generating GHZ-like states using fusion-based linear optical methods, introducing flexible schemes for scalable quantum applications.

Contribution

It presents novel fusion schemes that control entanglement levels and efficiency in generating GHZ-like states, expanding beyond traditional GHZ state generation methods.

Findings

Proposed fusion schemes enable adjustable entanglement and efficiency.

Demonstrated potential for resource-efficient scalable quantum state generation.

Provides a framework for generating a broader class of entangled states.

Abstract

Probabilistic entangling measurements are key operations in linear-optical quantum technologies, enabling the generation and manipulation of high-dimensional quantum states. While prior research has focused predominantly on specific entangled states, notably graph states and Greenberger-Horne-Zeilinger (GHZ) states, broader classes of states with variable entanglement remain underexplored. In this work, we present a linear-optical approach for generating and fusing GHZ-like states, which generalize standard GHZ states to include variable entanglement degrees. We introduce two schemes based on modified fusion gates that allow flexible control over generation efficiency and the entanglement of the output states. These results offer a promising pathway toward resource-efficient entangled-state generation for scalable quantum computing and communication.