Multi-Dimensional Quantum-like Resources from Complex Synchronized Networks
Recent publications have introduced the concept of quantum-like (QL) bits, along with their associated QL states and QL gate operations, which emerge from the dynamics of complex, synchronized networks. The present work extends these ideas to multi-level QL resources, referred to as QL dits, as high...
| Published in: | Entropy |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-09-01
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| Online Access: | https://www.mdpi.com/1099-4300/27/9/963 |
| _version_ | 1848776662952443904 |
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| author | Debadrita Saha Gregory D. Scholes |
| author_facet | Debadrita Saha Gregory D. Scholes |
| author_sort | Debadrita Saha |
| collection | DOAJ |
| container_title | Entropy |
| description | Recent publications have introduced the concept of quantum-like (QL) bits, along with their associated QL states and QL gate operations, which emerge from the dynamics of complex, synchronized networks. The present work extends these ideas to multi-level QL resources, referred to as QL dits, as higher-dimensional analogs of QL bits. We employ systems of <i>k</i>-regular graphs to construct QL-dits for arbitrary dimensions, where the emergent eigenspectrum of their adjacency matrices defines the QL-state space. The tensor product structure of multi-QL dit systems is realized through the Cartesian product of graphs. Furthermore, we examine the potential computational advantages of employing <i>d</i>-nary QL systems over two-level QL bit systems, particularly in terms of classical resource efficiency. Overall, this study generalizes the paradigm of using synchronized network dynamics for QL information processing to include higher-dimensional QL resources. |
| format | Article |
| id | doaj-art-e77e83f18eb54e67bacf9a75d5eaa5e7 |
| institution | Directory of Open Access Journals |
| issn | 1099-4300 |
| language | English |
| publishDate | 2025-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| spelling | doaj-art-e77e83f18eb54e67bacf9a75d5eaa5e72025-09-26T14:39:57ZengMDPI AGEntropy1099-43002025-09-0127996310.3390/e27090963Multi-Dimensional Quantum-like Resources from Complex Synchronized NetworksDebadrita Saha0Gregory D. Scholes1Department of Chemistry, Princeton University, Princeton, NJ 08544, USADepartment of Chemistry, Princeton University, Princeton, NJ 08544, USARecent publications have introduced the concept of quantum-like (QL) bits, along with their associated QL states and QL gate operations, which emerge from the dynamics of complex, synchronized networks. The present work extends these ideas to multi-level QL resources, referred to as QL dits, as higher-dimensional analogs of QL bits. We employ systems of <i>k</i>-regular graphs to construct QL-dits for arbitrary dimensions, where the emergent eigenspectrum of their adjacency matrices defines the QL-state space. The tensor product structure of multi-QL dit systems is realized through the Cartesian product of graphs. Furthermore, we examine the potential computational advantages of employing <i>d</i>-nary QL systems over two-level QL bit systems, particularly in terms of classical resource efficiency. Overall, this study generalizes the paradigm of using synchronized network dynamics for QL information processing to include higher-dimensional QL resources.https://www.mdpi.com/1099-4300/27/9/963quantum-likequdits<i>k</i>-regular graphsquantum resource |
| spellingShingle | Debadrita Saha Gregory D. Scholes Multi-Dimensional Quantum-like Resources from Complex Synchronized Networks quantum-like qudits <i>k</i>-regular graphs quantum resource |
| title | Multi-Dimensional Quantum-like Resources from Complex Synchronized Networks |
| title_full | Multi-Dimensional Quantum-like Resources from Complex Synchronized Networks |
| title_fullStr | Multi-Dimensional Quantum-like Resources from Complex Synchronized Networks |
| title_full_unstemmed | Multi-Dimensional Quantum-like Resources from Complex Synchronized Networks |
| title_short | Multi-Dimensional Quantum-like Resources from Complex Synchronized Networks |
| title_sort | multi dimensional quantum like resources from complex synchronized networks |
| topic | quantum-like qudits <i>k</i>-regular graphs quantum resource |
| url | https://www.mdpi.com/1099-4300/27/9/963 |
| work_keys_str_mv | AT debadritasaha multidimensionalquantumlikeresourcesfromcomplexsynchronizednetworks AT gregorydscholes multidimensionalquantumlikeresourcesfromcomplexsynchronizednetworks |