Discrete-Time Quantum Walk on Multilayer Networks
A Multilayer network is a potent platform that paves the way for the study of the interactions among entities in various networks with multiple types of relationships. This study explores the dynamics of discrete-time quantum walks on a multilayer network. We derive a recurrence formula for the coef...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/25/12/1610 |
| _version_ | 1797381162912448512 |
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| author | Mahesh N. Jayakody Priodyuti Pradhan Dana Ben Porath Eliahu Cohen |
| author_facet | Mahesh N. Jayakody Priodyuti Pradhan Dana Ben Porath Eliahu Cohen |
| author_sort | Mahesh N. Jayakody |
| collection | DOAJ |
| description | A Multilayer network is a potent platform that paves the way for the study of the interactions among entities in various networks with multiple types of relationships. This study explores the dynamics of discrete-time quantum walks on a multilayer network. We derive a recurrence formula for the coefficients of the wave function of a quantum walker on an undirected graph with a finite number of nodes. By extending this formula to include extra layers, we develop a simulation model to describe the time evolution of the quantum walker on a multilayer network. The time-averaged probability and the return probability of the quantum walker are studied with Fourier, and Grover walks on multilayer networks. Furthermore, we analyze the impact of decoherence on quantum transport, shedding light on how environmental interactions may impact the behavior of quantum walkers on multilayer network structures. |
| first_indexed | 2024-03-08T20:47:24Z |
| format | Article |
| id | doaj.art-0604f052736149c89087a046e80d268c |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-08T20:47:24Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-0604f052736149c89087a046e80d268c2023-12-22T14:07:21ZengMDPI AGEntropy1099-43002023-11-012512161010.3390/e25121610Discrete-Time Quantum Walk on Multilayer NetworksMahesh N. Jayakody0Priodyuti Pradhan1Dana Ben Porath2Eliahu Cohen3Faculty of Engineering and the Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat Gan 5290002, Israelnetworks.ai Lab, Department of Computer Science and Engineering, Indian Institute of Information Technology Raichur, Raichur 584135, Karnataka, IndiaFaculty of Engineering and the Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat Gan 5290002, IsraelFaculty of Engineering and the Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat Gan 5290002, IsraelA Multilayer network is a potent platform that paves the way for the study of the interactions among entities in various networks with multiple types of relationships. This study explores the dynamics of discrete-time quantum walks on a multilayer network. We derive a recurrence formula for the coefficients of the wave function of a quantum walker on an undirected graph with a finite number of nodes. By extending this formula to include extra layers, we develop a simulation model to describe the time evolution of the quantum walker on a multilayer network. The time-averaged probability and the return probability of the quantum walker are studied with Fourier, and Grover walks on multilayer networks. Furthermore, we analyze the impact of decoherence on quantum transport, shedding light on how environmental interactions may impact the behavior of quantum walkers on multilayer network structures.https://www.mdpi.com/1099-4300/25/12/1610discrete-time quantum walksmultilayer networkdecoherence |
| spellingShingle | Mahesh N. Jayakody Priodyuti Pradhan Dana Ben Porath Eliahu Cohen Discrete-Time Quantum Walk on Multilayer Networks Entropy discrete-time quantum walks multilayer network decoherence |
| title | Discrete-Time Quantum Walk on Multilayer Networks |
| title_full | Discrete-Time Quantum Walk on Multilayer Networks |
| title_fullStr | Discrete-Time Quantum Walk on Multilayer Networks |
| title_full_unstemmed | Discrete-Time Quantum Walk on Multilayer Networks |
| title_short | Discrete-Time Quantum Walk on Multilayer Networks |
| title_sort | discrete time quantum walk on multilayer networks |
| topic | discrete-time quantum walks multilayer network decoherence |
| url | https://www.mdpi.com/1099-4300/25/12/1610 |
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