Quantum Channels on Graphs: A Resonant Tunneling Perspective.

Authors

Giuseppe Catalano, Farzad Kianvash, Vittorio Giovannetti

Published in

Physical review letters. Volume 137. Issue 14. Pages 140202. Oct 02, 2026.

Abstract

Quantum transport on structured networks is strongly influenced by interference effects, which can dramatically modify how information propagates through a system. We develop a quantum-information-theoretic framework for scattering on graphs in which a full network of connected scattering sites is treated as a quantum channel linking designated input and output ports. Using the Redheffer star product to construct global scattering matrices from local ones, we identify resonant concatenation, a nonlinear composition rule generated by internal back reflections. In contrast to ordinary channel concatenation, resonant concatenation can suppress noise and even produce superactivation of the quantum capacity, yielding positive capacity in configurations where each constituent channel individually has zero capacity. We illustrate these effects through models exhibiting resonant-tunneling-enhanced transport. Our approach provides a general methodology for analyzing coherent information flow in quantum graphs, with relevance for quantum communication, control, and simulation in structured environments.

PMID:
42886914
Bibliographic data and abstract were imported from PubMed on 17 Oct 2026.

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