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

Entanglement represents 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 - particularly, GHZ-like, W-like and graph states - of genuinely multipartite entangled states, ii) not 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.

Automated summary

This paper presents a novel scheme for deterministic generation of different classes of multipartite entangled states without requiring direct interaction between qubits. The scheme utilizes the coherent control of the causal order among unitaries acting on the qubits according to the indefinite causal order framework. The paper analyzes the conditions for deterministic generation and provides examples for practical implementation of unitaries. The scalability of the proposed scheme to higher dimensional genuine multipartite entanglement states and potential applications in quantum networks are also discussed.