Perfect quantum state transfer of hard-core bosons on weighted path graphs

TL;DR

This paper demonstrates that perfect quantum state transfer for many hard-core bosons on weighted path graphs can be achieved if single-particle PST exists, extending the Tonks-Girardeau approach with algebraic graph theory.

Contribution

It establishes conditions under which many hard-core bosons exhibit PST on weighted path graphs, extending single-particle results and using algebraic graph theory techniques.

Findings

Hard-core bosons can undergo PST if single-particle PST exists on the graph.

PST does not generally occur for hard-core bosons even on graphs with single-particle PST.

Extension of the Tonks-Girardeau ansatz to weighted graphs for analyzing PST.

Abstract

The ability to accurately transfer quantum information through networks is an important primitive in distributed quantum systems. While perfect quantum state transfer (PST) can be effected by a single particle undergoing continuous-time quantum walks on a variety of graphs, it is not known if PST persists for many particles in the presence of interactions. We show that if single-particle PST occurs on one-dimensional weighted path graphs, then systems of hard-core bosons undergoing quantum walks on these paths also undergo PST. The analysis extends the Tonks-Girardeau ansatz to weighted graphs using techniques in algebraic graph theory. The results suggest that hard-core bosons do not generically undergo PST, even on graphs which exhibit single-particle PST.