Perfect Function Transfer in two- and three- dimensions without initialization

TL;DR

This paper presents analytic models for perfect function transfer in 2D and 3D bosonic and fermionic networks without initialization, with potential implementation in optical lattices and noise-protected states.

Contribution

It introduces new analytic models enabling perfect transfer of arbitrary functions in higher-dimensional quantum networks without state initialization or remote collaboration.

Findings

Perfect transfer of arbitrary functions in 2D and 3D networks.

Implementation via bosonic or fermionic atoms in optical lattices.

Use of entangled states and decoherence-free subsystems for noise protection.

Abstract

We find analytic models that can perfectly transfer, without state initializati$ or remote collaboration, arbitrary functions in two- and three-dimensional interacting bosonic and fermionic networks. We elaborate on a possible implementation of state transfer through bosonic or fermionic atoms trapped in optical lattices. A significant finding is that the state of a spin qubit can be perfectly transferred through a fermionic system. Families of Hamiltonians, both linear and nonlinear, are described which are related to the linear Boson model and that enable the perfect transfer of arbitrary functions. This includes entangled states such as decoherence-free subsystems enabling noise protection of the transferred state.