Perfect Quantum Routing in Regular Spin Networks

TL;DR

This paper introduces a method for perfect quantum routing in regular spin networks, enabling efficient and reliable transfer of quantum states across various network dimensions, with applications in entanglement generation.

Contribution

It presents a novel class of regular quantum networks capable of perfect state routing between any nodes in linear time, adaptable to multiple spatial dimensions.

Findings

Perfect quantum routing achieved in linear time.

Networks are local in any specified spatial dimension.

Structures can generate entanglement efficiently.

Abstract

Regular families of coupled quantum networks are described such the unknown state of a qubit can be perfectly routed from any node to any other node in a time linear in the distance. Unlike previous constructions, the transfer can be achieved perfectly on a network that is local on any specified number of spatial dimensions. The ability to route the state, and the regularity of the networks, vastly improve the utility of this scheme in comparison to perfect state transfer schemes. The structures can also be used for entanglement generation.