Deterministic Generation of Multipartite Entanglement via Causal Activation in the Quantum Internet

TL;DR

This paper introduces a novel method for deterministically generating various classes of multipartite entangled states in quantum networks without direct qubit interaction, using indefinite causal order control.

Contribution

It presents a new scheme leveraging indefinite causal order to generate multipartite entanglement deterministically, avoiding direct qubit interactions, and analyzes conditions for practical implementation.

Findings

Deterministic generation of GHZ-like, W-like, and graph states.

Conditions on unitaries for successful generation.

Potential scalability to higher-dimensional entangled states.

Abstract

Entanglement represents ``\textit{the}'' key resource for several applications of quantum information processing, ranging from quantum communications to distributed quantum computing. Despite its fundamental importance, deterministic generation of maximally entangled qubits represents an on-going open problem. Here, we design a novel generation scheme exhibiting two attractive features, namely, i) deterministically generating different classes -- namely, GHZ-like, W-like and graph states -- of genuinely multipartite entangled states, ii) without requiring any direct interaction between the qubits. Indeed, the only necessary condition is the possibility of coherently controlling -- according to the indefinite causal order framework -- the causal order among the unitaries acting on the qubits. Through the paper, we analyze and derive the conditions on the unitaries for deterministic generation, and we provide examples for unitaries practical implementation. We conclude the paper by discussing the scalability of the proposed scheme to higher dimensional genuine multipartite entanglement (GME) states and by introducing some possible applications of the proposal for quantum networks.