Optimized Quantum Networks

Abstract

The topology of classical networks is determined by physical links between nodes, and after a network request the links are used to establish the desired connections. Quantum networks offer the possibility to generate different kinds of entanglement prior to network requests, which can substitute links and allow one to fulfill multiple network requests with the same resource state. We utilize this to design entanglement-based quantum networks tailored to their desired functionality, independent of the underlying physical structure. The kind of entanglement to be stored is chosen to fulfill all desired network requests (i.e. parallel bipartite or multipartite communications between specific nodes chosen from some finite set), but in such a way that the storage requirement is minimized. This can be accomplished by using multipartite entangled states shared between network nodes that can be transformed by local operations to different target states. We introduce a clustering algorithm to identify connected clusters in the network for a given desired functionality, i.e. the required network topology of the entanglement-based network, and a merging algorithm that constructs multipartite entangled resource states with reduced memory requirement to fulfill all desired network requests. This leads to a significant reduction in required time and resources, and provides a powerful tool to design quantum networks that is unique to entanglement-based networks.

Quantum Communication Networks for Energy Applications: Review and Perspective

“…[ 293 ] The use of computational simulation for the rational design of quantum networks has the potential to accelerate QIS development. [ 294 ] Since its inception, ensuring the complete security of quantum communications toward any type of potential hacking attack has been a major challenge, and steady progress has been made in this area over the years. [ 295 ] Securing NIST‐approved protocols for secure quantum communications will be a major milestone toward widespread usage and development of these systems.…”

Network mechanism for generating genuinely correlative Gaussian states*

“…Most importantly, for the last two decades, generating a multipartite state via appropriate quantum operations from states having lesser number of parties with the assurance of multipartite correlation has been regarded as a benchmark in the development of quantum networking test beds [25][26][27][28]. The network mechanism has been used to generate special multipartite states which play an important role for quantum computation and quantum communication tasks [29][30][31][32][33][34].…”

Bilateral fault-tolerant qudit teleportation in multi-hop quantum networks

“…In these applications, entanglement acts as the bridge for transmitting quantum information remotely without direct physical contact. However, the entangled states are fragile in the presence of noise and decoherence, which is necessary to address the various errors that arises between neighboring nodes in quantum networks [23][24][25]. These errors introduce uncertainties into the shared entangled pairs, significantly reducing the fidelity and impacting the success of QIP tasks.…”