{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,8]],"date-time":"2026-06-08T16:02:33Z","timestamp":1780934553640,"version":"3.54.1"},"reference-count":59,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2025,5,5]],"date-time":"2025-05-05T00:00:00Z","timestamp":1746403200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"MUR and EU","award":["PE00000002-QBETTER"],"award-info":[{"award-number":["PE00000002-QBETTER"]}]},{"name":"MUR and EU","award":["PE00000002-QuSynKrono"],"award-info":[{"award-number":["PE00000002-QuSynKrono"]}]},{"name":"MUR and EU","award":["PE00000023-QMORE"],"award-info":[{"award-number":["PE00000023-QMORE"]}]},{"name":"NQSTI-Spoke1-BaC QSynKrono","award":["PE00000002-QBETTER"],"award-info":[{"award-number":["PE00000002-QBETTER"]}]},{"name":"NQSTI-Spoke1-BaC QSynKrono","award":["PE00000002-QuSynKrono"],"award-info":[{"award-number":["PE00000002-QuSynKrono"]}]},{"name":"NQSTI-Spoke1-BaC QSynKrono","award":["PE00000023-QMORE"],"award-info":[{"award-number":["PE00000023-QMORE"]}]},{"name":"NQSTI-Spoke2-BaC QMORE","award":["PE00000002-QBETTER"],"award-info":[{"award-number":["PE00000002-QBETTER"]}]},{"name":"NQSTI-Spoke2-BaC QMORE","award":["PE00000002-QuSynKrono"],"award-info":[{"award-number":["PE00000002-QuSynKrono"]}]},{"name":"NQSTI-Spoke2-BaC QMORE","award":["PE00000023-QMORE"],"award-info":[{"award-number":["PE00000023-QMORE"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We address the problem of routing quantum and classical information from one sender to many possible receivers in a network. By employing the formalism of quantum walks, we describe the dynamics on a discrete structure based on a complete graph, where the sites naturally provide a basis for encoding the quantum state to be transmitted. Upon tuning a single phase or weight in the Hamiltonian, we achieve near-unitary routing fidelity, enabling the selective delivery of information to designated receivers for both classical and quantum data. The structure is inherently scalable, accommodating an arbitrary number of receivers. The routing time is largely independent of the network\u2019s dimension and input state, and the routing performance is robust under static and dynamic noise, at least for a short time.<\/jats:p>","DOI":"10.3390\/e27050498","type":"journal-article","created":{"date-parts":[[2025,5,5]],"date-time":"2025-05-05T21:42:09Z","timestamp":1746481329000},"page":"498","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Scalable Structure for Chiral Quantum Routing"],"prefix":"10.3390","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-0980-4741","authenticated-orcid":false,"given":"Giovanni","family":"Ragazzi","sequence":"first","affiliation":[{"name":"Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Universit\u00e0 di Modena e Reggio Emilia, I-41125 Modena, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7975-5059","authenticated-orcid":false,"given":"Simone","family":"Cavazzoni","sequence":"additional","affiliation":[{"name":"Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Universit\u00e0 di Modena e Reggio Emilia, I-41125 Modena, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8112-4907","authenticated-orcid":false,"given":"Claudia","family":"Benedetti","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica Aldo Pontremoli, Universit\u00e0 di Milano, I-20133 Milano, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4313-0732","authenticated-orcid":false,"given":"Paolo","family":"Bordone","sequence":"additional","affiliation":[{"name":"Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Universit\u00e0 di Modena e Reggio Emilia, I-41125 Modena, Italy"},{"name":"Centro S3, CNR-Istituto di Nanoscienze, I-41125 Modena, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7523-7289","authenticated-orcid":false,"given":"Matteo G. A.","family":"Paris","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica Aldo Pontremoli, Universit\u00e0 di Milano, I-20133 Milano, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2025,5,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Nikolopoulos, G.M., and Jex, I. (2014). Quantum State Transfer and Network Engineering, Springer.","DOI":"10.1007\/978-3-642-39937-4"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"032310","DOI":"10.1103\/PhysRevA.71.032310","article-title":"Perfect state transfer, effective gates, and entanglement generation in engineered bosonic and fermionic networks","volume":"71","author":"Yung","year":"2005","journal-title":"Phys. Rev. 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