Fast quantum transfer mediated by topological domain walls

TL;DR

This paper introduces new transfer protocols in multidomain topological chains that significantly improve speed and robustness over traditional methods, enabling efficient quantum information transfer.

Contribution

It proposes protocols in multidomain SSH chains and Creutz ladders that reduce transfer time dependence from exponential to polynomial, enhancing performance and error resilience.

Findings

Protocols speed up transfer compared to single-domain models.

Reduced error accumulation in the presence of disorder.

Utilization of localized modes for selective state swapping.

Abstract

The duration of bidirectional transfer protocols in 1D topological models usually scales exponentially with distance. In this work, we propose transfer protocols in multidomain SSH chains and Creutz ladders that lose the exponential dependence, greatly speeding up the process with respect to their single-domain counterparts, reducing the accumulation of errors and drastically increasing their performance, even in the presence of symmetry-breaking disorder. We also investigate how to harness the localization properties of the Creutz ladder-with two localized modes per domain wall-to choose the two states along the ladder that will be swapped during the transfer protocol, without disturbing the states located in the intermediate walls between them. This provides a 1D network with all-to-all connectivity that can be helpful for quantum information purposes.