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  • Article
  • Open Access
11 Citations
9,137 Views
17 Pages

Data Clustering with Quantum Mechanics

  • Tony C. Scott,
  • Madhusudan Therani and
  • Xing M. Wang

6 January 2017

Data clustering is a vital tool for data analysis. This work shows that some existing useful methods in data clustering are actually based on quantum mechanics and can be assembled into a powerful and accurate data clustering method where the efficie...

  • Article
  • Open Access
11 Citations
3,736 Views
54 Pages

Quantum and Quantum-Inspired Stereographic K Nearest-Neighbour Clustering

  • Alonso Viladomat Jasso,
  • Ark Modi,
  • Roberto Ferrara,
  • Christian Deppe,
  • Janis Nötzel,
  • Fred Fung and
  • Maximilian Schädler

20 September 2023

Nearest-neighbour clustering is a simple yet powerful machine learning algorithm that finds natural application in the decoding of signals in classical optical-fibre communication systems. Quantum k-means clustering promises a speed-up over the class...

(This article belongs to the Special Issue Quantum Information: From Fundamental Aspects to Practical Applications)
  • Article
  • Open Access
9 Citations
4,862 Views
18 Pages

Patient Data Analysis with the Quantum Clustering Method

  • Shradha Deshmukh,
  • Bikash K. Behera and
  • Preeti Mulay

13 February 2023

Quantum computing is one of the most promising solutions for solving optimization problems in the healthcare world. Quantum computing development aims to light up the execution of a vast and complex set of algorithmic instructions. For its implementa...

  • Review
  • Open Access
20 Citations
7,166 Views
44 Pages

A Review of Quantum-Inspired Metaheuristic Algorithms for Automatic Clustering

  • Alokananda Dey,
  • Siddhartha Bhattacharyya,
  • Sandip Dey,
  • Debanjan Konar,
  • Jan Platos,
  • Vaclav Snasel,
  • Leo Mrsic and
  • Pankaj Pal

24 April 2023

In real-world scenarios, identifying the optimal number of clusters in a dataset is a difficult task due to insufficient knowledge. Therefore, the indispensability of sophisticated automatic clustering algorithms for this purpose has been contemplate...

(This article belongs to the Special Issue Hybrid Metaheuristic Algorithms for Portfolio Optimization and Its Applications)
  • Article
  • Open Access
782 Views
27 Pages

Quantum-Kernel Benchmark for Isotopic Provenance Clustering in the Andes Region

  • Anibal Alviz-Meza,
  • Alejandro Valencia-Arias,
  • Félix Díaz and
  • Segundo Rojas-Flores

Lead isotope ratios are frequently used in archaeometric provenance analysis; however, the overlap of isotopic fields within the Andean metallogenic belt complicates reliable provenance determination. This study presents a reproducible fidelity-based...

(This article belongs to the Special Issue Beyond Classical Limits: Quantum Machine Learning for Multi-Field Research)
  • Article
  • Open Access
8 Citations
1,473 Views
23 Pages

Implementation and Performance Evaluation of Quantum-Inspired Clustering Scheme for Energy-Efficient WSNs

  • Chindiyababy Uthayakumar,
  • Ramkumar Jayaraman,
  • Hadi A. Raja and
  • Kamran Daniel

19 September 2025

Advancements in communication technologies and the proliferation of smart devices have significantly increased the demand for wireless sensor networks (WSNs). These networks play an important role in the IoT environment. The wireless sensor network h...

(This article belongs to the Section Sensor Networks)
  • Article
  • Open Access
997 Views
31 Pages

Quantum k-Means Clustering Using Hadamard-Test-Based Similarity Estimation

  • Mohammadhadi Alaeiyan,
  • Shahin Torabi and
  • Mehdi Alaeiyan

Recently, the volume of the generated data has increased significantly, leading to the need for computational techniques capable of handling such data efficiently. As a result, many quantum algorithms have been developed, and the domain of quantum ma...

(This article belongs to the Special Issue AI in Complex Engineering Systems)
  • Article
  • Open Access
272 Views
22 Pages

Benchmarking Classical and Quantum-Hybrid Clustering on Autism Spectrum Disorder Screening Data

  • José Armando Noguez Martínez,
  • Emmanuel Martínez-Guerrero and
  • Guo-Hua Sun

22 August 2026

Clustering may uncover latent behavioral structure in Autism Spectrum Disorder (ASD) screening data without using outcome labels, but the resulting partitions depend strongly on data geometry and the adopted similarity measure. Quantum-hybrid cluster...

  • Article
  • Open Access
500 Views
22 Pages

QGKM: A Quantum Fidelity-Based Graph Clustering Framework for Robust Data Pattern Recognition in Education Social Networks

  • Neal N. Xiong,
  • Weiqing Long,
  • Dacheng He,
  • Xiangwei Meng,
  • Zulong Diao,
  • Sergey M. Avdoshin and
  • Yevgeni Koucheryavy

13 May 2026

In the era of data-driven education, educational social networks generate large volumes of high-dimensional and complex-structured data through learner interactions, collaborative activities, and resource-sharing behaviors, posing significant challen...

(This article belongs to the Special Issue Artificial Intelligence in Education: Innovations and Implications)
  • Article
  • Open Access
1 Citations
3,722 Views
12 Pages

Four-Qubit Cluster States Generation through Multi-Coin Quantum Walk

  • Tianyi Wang,
  • Xiaoguang Chen and
  • Jianxiong Liang

31 August 2022

Quantum computing requires large numbers of resources of entangled qubits, which cannot be satisfied using traditional methods of entanglement generation, such as optical systems. Therefore, we need more efficient ways of entanglement generation. It...

(This article belongs to the Topic Quantum Information and Quantum Computing)
  • Article
  • Open Access
21 Citations
3,903 Views
17 Pages

13 October 2020

This paper proposes an energy-efficient cluster head selection method in the wireless ad hoc network by using a hybrid quantum-classical approach. The wireless ad hoc network is divided into several clusters via cluster head selection, and the perfor...

(This article belongs to the Section Computer Science & Engineering)
  • Article
  • Open Access
17 Citations
3,466 Views
23 Pages

Clustering is an effective topology control approach that evenly distributes loads across sensor nodes, enhances network scalability, and increases the lifetime in wireless sensor networks. In this paper, we propose a novel energy-efficient weighted...

  • Article
  • Open Access
3 Citations
2,884 Views
12 Pages

A Remote Quantum Error-Correcting Code Preparation Protocol on Cluster States

  • Qiang Zhao,
  • Haokun Mao,
  • Yucheng Qiao,
  • Ahmed A. Abd El-Latif and
  • Qiong Li

8 July 2023

The blind quantum computation (BQC) protocol allows for privacy-preserving remote quantum computations. In this paper, we introduce a remote quantum error correction code preparation protocol for BQC using a cluster state and analyze its blindness in...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
14 Citations
5,636 Views
13 Pages

Coreset Clustering on Small Quantum Computers

  • Teague Tomesh,
  • Pranav Gokhale,
  • Eric R. Anschuetz and
  • Frederic T. Chong

Many quantum algorithms for machine learning require access to classical data in superposition. However, for many natural data sets and algorithms, the overhead required to load the data set in superposition can erase any potential quantum speedup ov...

(This article belongs to the Special Issue Quantum Computing System Design and Architecture)
  • Article
  • Open Access
6 Citations
1,767 Views
12 Pages

19 January 2025

In this paper, we introduce a quantum private comparison (QPC) protocol designed for two players to securely and privately assess the equality of their private information. The protocol utilizes four-particle cluster states prepared by a semi-honest...

(This article belongs to the Section Mathematical Physics)
  • Article
  • Open Access
2 Citations
3,068 Views
9 Pages

Quantum Density Peak Clustering Algorithm

  • Zhihao Wu,
  • Tingting Song and
  • Yanbing Zhang

3 February 2022

A widely used clustering algorithm, density peak clustering (DPC), assigns different attribute values to data points through the distance between data points, and then determines the number and range of clustering by attribute values. However, DPC is...

(This article belongs to the Special Issue Practical Quantum Communication)
  • Article
  • Open Access
6 Citations
6,228 Views
11 Pages

Nuclear Quantum Effects in the Ionic Dissociation Dynamics of HCl on the Water Ice Cluster

  • Tatsuhiro Murakami,
  • Hinami Ueno,
  • Yuya Kikuma and
  • Toshiyuki Takayanagi

21 January 2025

Nuclear quantum effects play a significant role in the dissociation dynamics of HCl ions during collisions with the (H2O)49 ice cluster. These effects become particularly important when analyzing proton transfer, tunneling, and zero-point energy cont...

(This article belongs to the Section Computational and Theoretical Chemistry)
  • Article
  • Open Access
8 Citations
4,603 Views
15 Pages

The Ionic Product of Water in the Eye of the Quantum Cluster Equilibrium

  • Barbara Kirchner,
  • Johannes Ingenmey,
  • Michael von Domaros and
  • Eva Perlt

14 February 2022

The theoretical description of water properties continues to be a challenge. Using quantum cluster equilibrium (QCE) theory, we combine state-of-the-art quantum chemistry and statistical thermodynamic methods with the almost historical Clausius&ndash...

(This article belongs to the Special Issue Chemical Bonding and Valency: A Special Issue Celebrating the 80th Birthday of Prof. Frank Weinhold)
  • Article
  • Open Access
4 Citations
3,092 Views
23 Pages

3 September 2023

Cluster molecular magnets prove their potential for applications in quantum technologies, encouraging studies of quantum entanglement in spin systems. In the paper we discuss quantum entanglement properties of pentamer cluster composed of spins S=1/2...

(This article belongs to the Special Issue Molecular Magnetism: Modern Trends and Future Perspectives)
  • Article
  • Open Access
3 Citations
3,036 Views
11 Pages

29 July 2024

Quantum computing leverages the principles of quantum mechanics in novel ways to tackle complex chemistry problems that cannot be accurately addressed using traditional quantum chemistry methods. However, the high computational cost and available num...

(This article belongs to the Special Issue Theoretical Calculation Study of Nanomaterials: 2nd Edition)
  • Article
  • Open Access
1 Citations
1,814 Views
13 Pages

Suppression of Fading Noise in Satellite-Mediated Continuous-Variable Quantum Key Distribution via Clusterization

  • Zhiyue Zuo,
  • Wenqi Peng,
  • Hui Xian,
  • Wenqi Jiang,
  • Hao Luo,
  • Sha Xiong and
  • Ying Guo

18 August 2023

The satellite-mediated continuous-variable quantum key distribution (CV-QKD) protocol, which relies on off-the-shelf telecommunication components, has the potential for a global quantum communication network with all-day operation. However, the trans...

  • Review
  • Open Access
23 Citations
7,528 Views
74 Pages

Systematic Quantum Cluster Typical Medium Method for the Study of Localization in Strongly Disordered Electronic Systems

  • Hanna Terletska,
  • Yi Zhang,
  • Ka-Ming Tam,
  • Tom Berlijn,
  • Liviu Chioncel,
  • N. S. Vidhyadhiraja and
  • Mark Jarrell

26 November 2018

Great progress has been made in recent years towards understanding the properties of disordered electronic systems. In part, this is made possible by recent advances in quantum effective medium methods which enable the study of disorder and electron-...

(This article belongs to the Special Issue Metal-Insulator Transitions)
  • Article
  • Open Access
2 Citations
1,687 Views
12 Pages

20 November 2024

A quantum private comparison (QPC) protocol enables two parties to securely compare their private data without disclosing the actual values to one another, utilizing quantum mechanics to maintain confidentiality. Many current QPC protocols mainly con...

(This article belongs to the Special Issue Quantum Communication and Applications)
  • Article
  • Open Access
513 Views
17 Pages

14 August 2026

Hydrogen-bond organization plays a central role in determining the structure and properties of water from molecular to macroscopic scales. In this study, we propose a geometry-based descriptor for small hydrogen-bonded water clusters, (H2O)n, with n...

(This article belongs to the Special Issue Reactions of Hydrogen with Inorganic and Organic Molecules in Aqueous Media)
  • Article
  • Open Access
11 Citations
2,038 Views
14 Pages

14 June 2024

Quantum private comparison (QPC) enables two users to securely conduct private comparisons in a network characterized by mutual distrust while guaranteeing the confidentiality of their private inputs. Most previous QPC protocols were primarily used t...

(This article belongs to the Section Quantum Information)
  • Article
  • Open Access
6 Citations
3,202 Views
16 Pages

16 July 2023

The variational quantum eigensolver is one of the most promising algorithms for near-term quantum computers. It has the potential to solve quantum chemistry problems involving strongly correlated electrons with relatively low-depth circuits, which ar...

  • Article
  • Open Access
67 Citations
5,124 Views
24 Pages

24 June 2024

The main limitation of wireless sensor networks (WSNs) lies in their reliance on battery power. Therefore, the primary focus of the current research is to determine how to transmit data in a rational and efficient way while simultaneously extending t...

(This article belongs to the Section Sensor Networks)
  • Article
  • Open Access
3,037 Views
13 Pages

27 January 2023

In the present study, the predication of the binding affinity (log RBA) of estrogen receptor alpha with three categories of environmental endocrine disrupting chemicals (EDCs), namely, PCB, phenol, and DDT, is performed by the quantum chemical geneti...

(This article belongs to the Section Inorganic Crystalline Materials)
  • Article
  • Open Access
3,588 Views
13 Pages

16 January 2023

In the present study, the interaction between organophosphorus pesticides and cholinesterase enzymes was investigated by quantum chemical cluster model and hard-soft acid-base (HSAB) approaches. The computational results of the equilibrium structure...

(This article belongs to the Special Issue Theoretical Investigation on Non-covalent Interactions)
  • Article
  • Open Access
4 Citations
2,911 Views
12 Pages

15 December 2023

Recent advancements in experimental approaches have made it possible to synthesize silver (Ag5) atomic quantum clusters (AQCs), which have shown a great potential in photocatalysis. This study employs the generalized gradient approximation (GGA) dens...

(This article belongs to the Section Materials for Energy Applications)
  • Article
  • Open Access
7 Citations
2,040 Views
16 Pages

Blockchain with Quantum Mayfly Optimization-Based Clustering Scheme for Secure and Smart Transport Systems

  • Hayam Alamro,
  • Hamed Alqahtani,
  • Fahad F. Alruwaili,
  • Sumayh S. Aljameel and
  • Mohammed Rizwanullah

31 July 2023

Blockchain (BC) with a clustering scheme can be used to build secure and smart Vehicular Ad-Hoc Networks (VANETs), which provide improved data integrity, enhanced security, efficient resource allocation, and streamlined processes. This technology has...

(This article belongs to the Section Sustainable Transportation)
  • Feature Paper
  • Article
  • Open Access
5 Citations
2,157 Views
23 Pages

24 March 2025

Quantum entanglement plays a fundamental role in quantum mechanics, with applications in quantum computing. This study introduces a new approach that integrates quantum simulations, noise analysis, and fuzzy clustering to classify and evaluate the st...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
9 Citations
5,544 Views
14 Pages

24 December 2019

Complex networks structures have been extensively used for describing complex natural and technological systems, like the Internet or social networks. More recently, complex network theory has been applied to quantum systems, where complex network to...

(This article belongs to the Section Quantum Information)
  • Article
  • Open Access
882 Views
20 Pages

Quantum Machine Learning for Water Pollution Profiling in the Rio Santiago Basin

  • Alan Abraham-Mexicano,
  • Carlos V. Muro-Medina,
  • Valentin Flores-Payan,
  • Elisa Ramos-Pinzon,
  • Carolina L. Recio-Colmenares,
  • Roxana B. Recio-Colmenares and
  • Cesar A. Garcia-Garcia

The Rio Santiago basin is one of the most environmentally stressed river systems in Mexico, with persistent organic, nutrient, microbial, surfactant, and metal contamination. This study develops a near-term quantum machine learning workflow for envir...

(This article belongs to the Special Issue Beyond Classical Limits: Quantum Machine Learning for Multi-Field Research)
  • Feature Paper
  • Article
  • Open Access
12 Citations
3,173 Views
19 Pages

28 February 2022

The chemistry community has long sought the exact relationship between the conventional and the unitary coupled cluster ansatz for a single-reference system, especially given the interest in performing quantum chemistry on quantum computers. In this...

(This article belongs to the Section C: Physics)
  • Review
  • Open Access
59 Citations
11,299 Views
19 Pages

Metallic Clusters: Theoretical Background, Properties and Synthesis in Microemulsions

  • David Buceta,
  • Yolanda Piñeiro,
  • Carlos Vázquez-Vázquez,
  • José Rivas and
  • Manuel Arturo López-Quintela

3 November 2014

Reducing the size from the bulk material to nanoparticles produces a scaling behavior in physical properties in the later ones, due to the large surface-to-volume fraction. By further size reduction, entering into the subnanometric cluster region, ph...

(This article belongs to the Special Issue Synthesis of Nanostructured Catalytic Materials from Microemulsions)
  • Article
  • Open Access
354 Views
24 Pages

30 August 2026

Sparse count data, such as patent document–keyword matrices, often contain excessive zeros and overdispersion, making conventional distance-based clustering methods less suitable. This study proposes a zero-inflated likelihood-based graph neura...

  • Article
  • Open Access
4 Citations
3,796 Views
8 Pages

We analyze the many-body phases of an ensemble of particles interacting via a Lifshitz–Petrich–Gaussian pair potential in a harmonic confinement. We focus on specific parameter regimes where we expect decagonal quasiperiodic cluster arran...

(This article belongs to the Special Issue SuperFluctuations, 3rd Edition)
  • Review
  • Open Access
2 Citations
2,853 Views
18 Pages

22 September 2023

Two-dimensional quantum billiards are one of the most important paradigms for exploring the connection between quantum and classical worlds. Researchers are mainly focused on nonintegrable and irregular shapes to understand the quantum characteristic...

(This article belongs to the Special Issue Physics and Symmetry Section: Feature Papers 2023)
  • Feature Paper
  • Article
  • Open Access
5 Citations
3,838 Views
20 Pages

Advances in quantum computing technology have been made in recent years due to the evolution of spin clusters. Recent studies have tended towards spin cluster subgeometries to understand more complex structures better. These molecular magnets provide...

  • Article
  • Open Access
579 Views
21 Pages

Trust in embodied intelligence is dynamic, contextual, and interaction-dependent, but many existing computational approaches still model trust using static similarity structures. This study proposes and evaluates a compositional trust modeling approa...

(This article belongs to the Special Issue Advanced Human–Robot Interaction Challenges and Opportunities)
  • Article
  • Open Access
4 Citations
1,634 Views
27 Pages

Efficient Multi-Target Localization Using Dynamic UAV Clusters

  • Wei Gong,
  • Shuhan Lou,
  • Liyuan Deng,
  • Peng Yi and
  • Yiguang Hong

30 April 2025

This paper proposes a dynamic unmanned aerial vehicle (UAV) clustering model for multi-target localization in complex 3D environments, where mobility-aware cluster formation is integrated to enhance collaborative localization accuracy. We derive the...

(This article belongs to the Section Sensor Networks)
  • Article
  • Open Access
12 Citations
2,799 Views
14 Pages

4 August 2022

By utilizing the non-maximally entangled four-qubit cluster states as the quantum channel, we first propose a hierarchical quantum information splitting scheme of arbitrary three-qubit states among three agents with a certain probability. Then we gen...

(This article belongs to the Special Issue Quantum Computation and Quantum Information)
  • Article
  • Open Access
532 Views
11 Pages

18 January 2026

Multipartite Gaussian Einstein–Podolsky–Rosen (EPR) steering is a key resource for quantum networks, but in practice it is strongly degraded by channel loss and excess noise. This motivates the need to distill multipartite Gaussian EPR st...

(This article belongs to the Special Issue Recent Progress in Optical Quantum Information and Communication)
  • Article
  • Open Access
67 Views
43 Pages

15 October 2026

Post-COVID-19 balance and postural control alterations have been reported after SARS-CoV-2 infection, but individual-level phenotyping remains challenging because post-acute sequelae are heterogeneous and often lack clear clinical ground truths. We a...

(This article belongs to the Special Issue Biomechanical Analysis of Motion and Postural Control: Sensor-Based Classical and AI Methods)
  • Article
  • Open Access
10 Citations
4,823 Views
16 Pages

Electronic and Structural Properties of the Double Cubane Iron-Sulfur Cluster

  • Nadia Elghobashi-Meinhardt,
  • Daria Tombolelli and
  • Maria Andrea Mroginski

12 February 2021

The double-cubane cluster (DCC) refers to an [Fe8S9] iron-sulfur complex that is otherwise only known to exist in nitrogenases. Containing a bridging µ2-S ligand, the DCC in the DCC-containing protein (DCCP) is covalently linked to the protein scaffo...

(This article belongs to the Special Issue Perspectives in Bioinorganic Catalysis)
  • Article
  • Open Access
6 Citations
3,691 Views
10 Pages

8 March 2022

Quantum information splitting (QIS) provides an idea for transmitting the quantum state through a classical channel and a preshared quantum entanglement resource. This paper presents a new scheme for QIS based on a five-qubit cluster state and a Bell...

(This article belongs to the Special Issue Information Theory and Its Applications in Multimedia Security and Processing)
  • Article
  • Open Access
10 Citations
4,202 Views
21 Pages

Dendrogramic Representation of Data: CHSH Violation vs. Nonergodicity

  • Oded Shor,
  • Felix Benninger and
  • Andrei Khrennikov

28 July 2021

This paper is devoted to the foundational problems of dendrogramic holographic theory (DH theory). We used the ontic–epistemic (implicate–explicate order) methodology. The epistemic counterpart is based on the representation of data by dendrograms co...

(This article belongs to the Special Issue The Philosophy of Quantum Physics)
  • Article
  • Open Access
37 Citations
4,097 Views
10 Pages

Electronic Properties of Triangle Molybdenum Disulfide (MoS2) Clusters with Different Sizes and Edges

  • Songsong Wang,
  • Changliang Han,
  • Liuqi Ye,
  • Guiling Zhang,
  • Yangyang Hu,
  • Weiqi Li and
  • Yongyuan Jiang

22 February 2021

The electronic structures and transition properties of three types of triangle MoS2 clusters, A (Mo edge passivated with two S atoms), B (Mo edge passivated with one S atom), and C (S edge) have been explored using quantum chemistry methods. The high...

  • Article
  • Open Access
5 Citations
1,766 Views
14 Pages

13 August 2025

Hyperspectral image (HSI) clustering has attracted significant attention due to its broad applications in agricultural monitoring, environmental protection, and other fields. However, the integration of high-dimensional spectral and spatial informati...

(This article belongs to the Section Computing and Artificial Intelligence)

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