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Functional Matrices on Quantum Computing Simulation

Hernán Indíbil de la Cruz Calvo, Fernando Cuartero Gómez, José Javier Paulet González, Mauro Mezzini et al. • Mathematics (2023)

In simulating Quantum Computing by using the circuit model the size of the matrices to deal with, together with the number of products and additions required to apply every quantum gate becomes a really hard computational restriction. This ...

DOAJ Open Access (DOAJ) DOI: 10.3390/math11173742

The Role and Application of Matrices in Artificial Intelligence: Foundations, Methods, and Advancements

Raviraju Balappa D, Gautam Kumar Rajput • Shodh Sari (2025)

Matrices are foundational to artificial intelligence (AI), serving as critical tools for data representation, manipulation, and transformation across various applications. From machine learning algorithms to neural network architectures, ma...

DOAJ Open Access (DOAJ) DOI: https://doi.org/10.59231/SARI7840

Finding spin glass ground states using quantum walks

Adam Callison, Nicholas Chancellor, Florian Mintert, Viv Kendon • New Journal of Physics (2019)

Quantum computation using continuous-time evolution under a natural hardware Hamiltonian is a promising near- and mid-term direction toward powerful quantum computing hardware. We investigate the performance of continuous-time quantum walks...

DOAJ Open Access (DOAJ) DOI: 10.1088/1367-2630/ab5ca2

Quantum Computing for High-Energy Physics: State of the Art and Challenges

Alberto Di Meglio, Karl Jansen, Ivano Tavernelli, Constantia Alexandrou et al. • PRX Quantum (2024)

Quantum computers offer an intriguing path for a paradigmatic change of computing in the natural sciences and beyond, with the potential for achieving a so-called quantum advantage—namely, a significant (in some cases exponential) speedup o...

OPENALEX cc-by DOI: https://doi.org/10.1103/prxquantum.5.037001

Quantum computing and hidden variables

Scott Aaronson • Physical Review A (2005)

This paper initiates the study of hidden variables from a quantum computing perspective. For us, a hidden-variable theory is simply a way to convert a unitary matrix that maps one quantum state to another into a stochastic matrix that maps ...

OPENALEX Open Access DOI: https://doi.org/10.1103/physreva.71.032325

Molecular characterization and prognostic modeling associated with M2-like tumor-associated macrophages in breast cancer: revealing the immunosuppressive role of DLG3

Ziqiang Wang, Jing Zhang, Huili Chen, Xinyu Zhang et al. • Frontiers in Immunology (2025)

BackgroundM2-like tumor-associated macrophages (TAMs) promote an immunosuppressive microenvironment and contribute to tumor progression and metastasis. However, their molecular characterization and prognostic value have not been fully explo...

DOAJ Open Access (DOAJ) DOI: 10.3389/fimmu.2025.1650726

Magnetic polyoxometalates: from molecular magnetism to molecular spintronics and quantum computing

J.M. Clemente-Juan, Eugenio Coronado, Alejandro Gaita‐Ariño • Chemical Society Reviews (2012)

In this review we discuss the relevance of polyoxometalate (POM) chemistry to provide model objects in molecular magnetism. We present several potential applications in nanomagnetism, in particular, in molecular spintronics and quantum comp...

OPENALEX DOI: https://doi.org/10.1039/c2cs35205b

Quantum computing models for artificial neural networks

Stefano Mangini, Francesco Tacchino, Dario Gerace, Daniele Bajoni et al. • Europhysics Letters (EPL) (2021)

Abstract Neural networks are computing models that have been leading progress in Machine Learning (ML) and Artificial Intelligence (AI) applications. In parallel, the first small-scale quantum computing devices have become available in rece...

OPENALEX Open Access DOI: https://doi.org/10.1209/0295-5075/134/10002

Approaching quantum computing

Dan Cristian Marinescu, Gabriela M. Marinescu (2005)

1 Preface 2 Introduction 2.1 Computing and the Laws of Physics 2.2 Quantum Information 2.3 Quantum Computers 2.4 The Wave and the Corpuscular Nature of Light 2.5 Deterministic versus Probabilistic Photon Behavior 2.6 State Description, Supe...

OPENALEX

Reflections on quantum computing

Cristian S. Calude, Michael J. Dinneen, Karl Svozil • Complexity (2000)

In this rather speculative note three problems pertaining to the power and limits of quantum computing are posed and partially answered: (a) when are quantum speedups possible? (b) is fixed-point computing a better model for quantum computi...

OPENALEX DOI: https://doi.org/10.1002/1099-0526(200009/10)6:1<35::aid-cplx1005>3.0.co;2-t

Automata and quantum computing

Andris Ambainis, Abuzer Yakaryılmaz • EMS Press eBooks (2021)

Quantum computing is a new model of computation, based on quantum physics. Quantum computers can be exponentially faster than conventional computers for problems such as factoring. Besides full-scale quantum computers, more restricted model...

OPENALEX DOI: https://doi.org/10.4171/automata-2/17

Automata and Quantum Computing

Andris Ambainis, Abuzer Yakaryılmaz • arXiv (Cornell University) (2015)

Quantum computing is a new model of computation, based on quantum physics. Quantum computers can be exponentially faster than conventional computers for problems such as factoring. Besides full-scale quantum computers, more restricted model...

OPENALEX Open Access DOI: https://doi.org/10.48550/arxiv.1507.01988

Quantum Computing and Algorithmic Law

Jeffery C. Atik, Valentin Jeutner • Law Innovation and Technology (2019)

Quantum computing technology will greatly enhance the abilities of the emerging field of computational law to express, model, and operationalise law in algorithmic form. Foreshadowing the harnessing of the power of quantum computing technol...

OPENALEX cc-by-nc-nd DOI: https://doi.org/10.1080/17579961.2021.1977216

Quantum chaos border for quantum computing

Bertrand Georgeot, Dima L. Shepelyansky • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (2000)

We study a generic model of quantum computer, composed of many qubits coupled by short-range interaction. Above a critical interqubit coupling strength, quantum chaos sets in, leading to quantum ergodicity of the computer eigenstates. In th...

OPENALEX Open Access DOI: https://doi.org/10.1103/physreve.62.3504