Wave communication across regular lattices

TL;DR

This paper introduces a wave-based communication method on regular lattices using quantum search algorithms, enabling position-independent signal exchange through wave interference and localization phenomena, with potential experimental implementations.

Contribution

It presents a novel wave communication protocol on lattices leveraging quantum search, allowing anonymous, position-independent signaling.

Findings

Enables communication without prior knowledge of receiver location

Utilizes wave interference and localization for signal transmission

Discusses potential experimental realizations

Abstract

We propose a novel way to communicate signals in the form of waves across a d - dimensional lattice. The mechanism is based on quantum search algorithms and makes it possible to both search for marked positions in a regular grid and to communicate between two (or more) points on the lattice. Remarkably, neither the sender nor the receiver needs to know the position of each other despite the fact that the signal is only exchanged between the contributing parties. This is an example of using wave interference as a resource by controlling localisation phenomena effectively. Possible experimental realisations will be discussed.