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Classical and Quantum Networks: Theory, Modeling and Optimization

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A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".

Deadline for manuscript submissions: 1 July 2024 | Viewed by 4830

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Special Issue Editors

Dr. Avishy Carmi

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Faculty of Engineering Sciences and Center for Quantum Information Science and Tech-nology, Ben-Gurion University of the Negev, Beersheba, Israel
Interests: classical and quantum information processing; quantum nonlocality; estimation theory; filtering theory; information processing; complex and multi-agent systems; natural; quantum and unconventional computation
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Dr. Eliahu Cohen

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Faculty of Engineering, Institute for Nanotechnology&Advanced Materials, and Center for Quantum Entanglement Science&Technology, Bar-Ilan University, Ramat-Gan 5290002, Israel
Interests: quantum mechanics; quantum information; quantum optics; quantum field theory
Special Issues, Collections and Topics in MDPI journals

Dr. Dana Ben Porath

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Faculty of Engineering, Institute for Nanotechnology&Advanced Materials, and Center for Quantum Entanglement Science&Technology, Bar-Ilan University, Ramat-Gan 5290002, Israel
Interests: statistical physics; network theory; percolation theory; quantum information

Special Issue Information

Dear Colleagues,

Network theory, both classical and quantum, has proved highly fruitful for analyzing a variety of problems. The formulation in terms of networks is often general and abstract, which allows it to fit into multiple different contexts. For example, the same tools from classical network science and percolation theory are applicable in the analysis of the resiliency of a complex system and, likewise, in the spread of an epidemic [1,2]. In this Special Issue, we will focus on generalizations and applications of classical networks to quantum systems, as well as on unique quantum constructions. The reported studies may relate to various areas, ranging from fundamental explorations of quantum nonlocality [3-5] to applications for quantum communications [6-9].

References:

[1] Newman, M. E. (2002). Spread of epidemic disease on networks. Physical review E, 66(1), 016128.

[2] Cohen, R., & Havlin, S. (2010). Complex networks: structure, robustness and function. Cambridge university press.

[3] Perseguers, S., Lapeyre, G. J., Cavalcanti, D., Lewenstein, M., & Acín, A. (2013). Distribution of entanglement in large-scale quantum networks. Reports on Progress in Physics, 76(9), 096001.

[4] Pozas-Kerstjens, A., Gisin, N., & Tavakoli, A. (2022). Full network nonlocality. Physical review letters, 128(1), 010403.

[5] Peled, B. Y., Te'eni, A., Cohen, E., & Carmi, A. (2021). Population dynamics of entangled species. arXiv preprint arXiv:2109.04237.

[6] Duan, L. M., & Monroe, C. (2010). Colloquium: Quantum networks with trapped ions. Reviews of Modern Physics, 82(2), 120.

[7] Kozlowski, W., & Wehner, S. (2019, September). Towards large-scale quantum networks. In Proceedings of the Sixth Annual ACM International Conference on Nanoscale Computing and Communication (pp. 1-7).

[8] Zhuang, Q., & Zhang, B. (2021). Quantum communication capacity transition of complex quantum networks. Physical Review A, 104(2), 022608.

[9] Meng, X., Gao, J., & Havlin, S. (2021). Concurrence percolation in quantum networks. Physical Review Letters, 126(17), 170501.

Dr. Avishy Carmi
Dr. Eliahu Cohen
Dr. Dana Ben Porath
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

network dynamics
network topology
complex networks
percolation
quantum entanglement
quantum correlations
quantum interconnect
quantum walks
quantum key distribution

Published Papers (3 papers)

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Research

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22 pages, 7161 KiB

Open AccessFeature PaperArticle

Discrete-Time Quantum Walk on Multilayer Networks

by Mahesh N. Jayakody, Priodyuti Pradhan, Dana Ben Porath and Eliahu Cohen

Entropy 2023, 25(12), 1610; https://doi.org/10.3390/e25121610 - 30 Nov 2023

Viewed by 951

Abstract

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. Full article

(This article belongs to the Special Issue Classical and Quantum Networks: Theory, Modeling and Optimization)

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15 pages, 2580 KiB

Open AccessArticle

Cost-Optimization-Based Quantum Key Distribution over Quantum Key Pool Optical Networks

by Jie Jia, Bowen Dong, Le Kang, Huanwen Xie and Banghong Guo

Entropy 2023, 25(4), 661; https://doi.org/10.3390/e25040661 - 14 Apr 2023

Cited by 4 | Viewed by 1446

Abstract

The Measurement-Device-Independent-Quantum Key Distribution (MDI-QKD) has the advantage of extending the secure transmission distances. The MDI-QKD combined with the Hybrid-Trusted and Untrusted Relay (HTUR) is used to deploy large-scale QKD networks, which effectively saves deployment cost. We propose an improved scheme for the QKD network architecture and cost analysis, which simplifies the number of QKD transmitters and incorporates the quantum key pool (QKP) in the QKD network. We developed a novel Hybrid-QKD-Network-Cost (HQNC) heuristic algorithm to solve the cost optimization problem. Simulations verified that the scheme in this paper could save the cost by over 50 percent and 90 percent, respectively. Full article

(This article belongs to the Special Issue Classical and Quantum Networks: Theory, Modeling and Optimization)

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Review

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37 pages, 1823 KiB

Open AccessFeature PaperReview

Percolation Theories for Quantum Networks

by Xiangyi Meng, Xinqi Hu, Yu Tian, Gaogao Dong, Renaud Lambiotte, Jianxi Gao and Shlomo Havlin

Entropy 2023, 25(11), 1564; https://doi.org/10.3390/e25111564 - 20 Nov 2023

Cited by 2 | Viewed by 1659

Abstract

Quantum networks have experienced rapid advancements in both theoretical and experimental domains over the last decade, making it increasingly important to understand their large-scale features from the viewpoint of statistical physics. This review paper discusses a fundamental question: how can entanglement be effectively and indirectly (e.g., through intermediate nodes) distributed between distant nodes in an imperfect quantum network, where the connections are only partially entangled and subject to quantum noise? We survey recent studies addressing this issue by drawing exact or approximate mappings to percolation theory, a branch of statistical physics centered on network connectivity. Notably, we show that the classical percolation frameworks do not uniquely define the network’s indirect connectivity. This realization leads to the emergence of an alternative theory called “concurrence percolation”, which uncovers a previously unrecognized quantum advantage that emerges at large scales, suggesting that quantum networks are more resilient than initially assumed within classical percolation contexts, offering refreshing insights into future quantum network design. Full article

(This article belongs to the Special Issue Classical and Quantum Networks: Theory, Modeling and Optimization)

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