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Main Authors: Alvarez, Pedro H., de Oliveira, Marcos C.
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2601.12516
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author Alvarez, Pedro H.
de Oliveira, Marcos C.
author_facet Alvarez, Pedro H.
de Oliveira, Marcos C.
contents We investigate how quantum coherence scales and is redistributed in quantum communication protocols, using superdense coding and quantum teleportation as paradigmatic case studies. Employing the relative entropy of coherence as a circuit-level resource measure, we show that multipartite resource states relevant to generalized superdense coding can enable scalable communication while exhibiting only logarithmic or even constant coherence growth, depending on their entanglement structure. In sharp contrast, quantum teleportation displays an unavoidable, protocol-induced coherence cost that grows linearly with the number of teleported qubits and is independent of the input state. Through a stage-resolved analysis of the teleportation circuit, we separate protocol-generated coherence from message-dependent contributions and identify a universal two-bit coherence offset per teleported qubit at the maximal-coherence stage. We further demonstrate explicitly that this extensive intermediate coherence generation is fully consistent with information-theoretic bounds, including the Holevo limit, and does not correspond to an increase in accessible classical information.
format Preprint
id arxiv_https___arxiv_org_abs_2601_12516
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Coherence Scaling in Quantum Communication Protocols
Alvarez, Pedro H.
de Oliveira, Marcos C.
Quantum Physics
We investigate how quantum coherence scales and is redistributed in quantum communication protocols, using superdense coding and quantum teleportation as paradigmatic case studies. Employing the relative entropy of coherence as a circuit-level resource measure, we show that multipartite resource states relevant to generalized superdense coding can enable scalable communication while exhibiting only logarithmic or even constant coherence growth, depending on their entanglement structure. In sharp contrast, quantum teleportation displays an unavoidable, protocol-induced coherence cost that grows linearly with the number of teleported qubits and is independent of the input state. Through a stage-resolved analysis of the teleportation circuit, we separate protocol-generated coherence from message-dependent contributions and identify a universal two-bit coherence offset per teleported qubit at the maximal-coherence stage. We further demonstrate explicitly that this extensive intermediate coherence generation is fully consistent with information-theoretic bounds, including the Holevo limit, and does not correspond to an increase in accessible classical information.
title Coherence Scaling in Quantum Communication Protocols
topic Quantum Physics
url https://arxiv.org/abs/2601.12516