Controllable Operations of Edge States in Cross-One-dimensional Topological Chains

TL;DR

This paper introduces a local control method for topological edge states in cross-one-dimensional chains, enabling robust quantum operations and long coherence times, advancing quantum technology applications.

Contribution

It presents a novel local interaction approach to manipulate topological edge states, allowing for quantum state transfer, SWAP gates, and enhanced coherence in topological chains.

Findings

Tunable couplings enable quantum state transfer and SWAP gates.

Anti-symmetric edge states exhibit subradiant dynamics with long coherence.

Local interactions suffice for controlling topological edge states.

Abstract

Topological edge states are recently attracting intense interest due to their robustness in the presence of disorder and defects. However, most approaches for manipulating such states require global modulations of the system's Hamiltonian. In this work, we develop a method to control edge states using local interactions of a four-node junction between cross-one-dimensional topological atomic chains. These junction interactions can give rise to tunable couplings between the hybridized edge states within different geometric symmetry, allowing us to implement robust quantum state transfer and SWAP gate between the two topological chains, where the edge states are pair-encoded as a single qubit. Moreover, when the atoms are precisely positioned to couple waveguides, the correlated decay caused by the environment enables the anti-symmetric edge states to present subradiant dynamics and thus show extremely long coherence time. These findings open up new possibilities for quantum technologies with topological edge states in the future.