Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of quantum computing

Foundations of Photonic Quantum Computation. Part 1. Introduction to Quantum Operators

Martin Bombardelli, Gérard Fleury, Philippe Lacomme, Bogdan Vulpescu

Published Jan 1, 2026• 0 citations
Publisher

Abstract

This work aims to present the fundamental concepts necessary for performing computations on photonic quantum computers by detailing the gates specific to this architecture and introducing the relationships between standard Pa... | Find, read and cite all the research you need on Tech Science Press
DOI
10.32604/jqc.2026.075438

Related papers

Foundations of photonic quantum computation

Martin Bombardelli, Gérard Fleury, Philippe Lacomme +1 more

This work aims to introduce the fundamental concepts required to perform computations on photonic quantum computers by presenting the gates specific to this architecture and highlighting the connections between standard Pauli gates and those available in photonic systems. The introduction navigates between physical considerations related to the optical components used, theoretical aspects concerning quantum operators, and a more applied section introducing implementations using the Perceval library developed by Quandela. This paper is intended for engineers and researchers familiar with Pauli gates and standard quantum concepts, looking at a clear and compact introduction to photonic components. A second part aims to introduce the concept of polarization, not from a theoretical perspective, but through its practical applications. To do so, we compare the similarities and differences between the original Grover's algorithm formulation and a version that leverages polarization. Gates specific to polarization are introduced and described in the context of the computations involved in Grover's algorithm. The description provided is as mathematical as possible and deliberately avoids physical considerations, in order to allow researchers familiar with "conventional" quantum circuits to more easily grasp the concepts.

arXiv:2509.04266•Sep 4, 2025•0 citations

Quantum Computation

Helmut Bez, Tony Croft

Quantum Computation presents the mathematics of quantum computation. The purpose is to introduce the topic of quantum computing to students in computer science, physics and mathematics who have no prior knowledge of this field. The book is written in two parts. The primary mathematical topics required for an initial understanding of quantum computation are dealt with in Part I: sets, functions, complex numbers and other relevant mathematical structures from linear and abstract algebra. Topics are illustrated with examples focussing on the quantum computational aspects which will follow in more detail in Part II. Part II discusses quantum information, quantum measurement and quantum algorithms. These topics provide foundations upon which more advanced topics may be approached with confidence. Features A more accessible approach than most competitor texts, which move into advanced, research-level topics too quickly for today's students. Part I is comprehensive in providing all necessary mathematical underpinning, particularly for those who need more opportunity to develop their mathematical competence. More confident students may move directly to Part II and dip back into Part I as a reference. Ideal for use as an introductory text for courses in quantum computing. Fully worked examples illustrate the application of mathematical techniques. Exercises throughout develop concepts and enhance understanding. End-of-chapter exercises offer more practice in developing a secure foundation.

Chapman & Hall/CRC eBooks•Jan 6, 2023•0 citations

A Review of Quantum Computing: Fundamental Concepts, Physical Implementations and Future Challenges

L. Sujitha, Y. Ganga Devi

Quantum computing represents a transformative paradigm that exploits the principles of quantum mechanics—superposition, entanglement, and quantum interference—to perform computations beyond the capabilities of classical computers. This review presents a comprehensive overview of the fundamental concepts underlying quantum computation, including qubits, quantum gates, quantum algorithms and measurement theory. It further examines major physical implementations of quantum computers, such as superconducting circuits, trapped ions, photonic systems, spin-based qubits, and topological approaches, highlighting their operational principles, advantages, and technological limitations. Key challenges hindering large-scale quantum computation—decoherence, error rates, qubit scalability, and fault tolerance—are critically discussed. Additionally, recent progress in quantum error correction, hybrid quantum–classical algorithms, and hardware optimization is summarized. The review concludes by outlining future research directions and potential applications of quantum computing in cryptography, materials science, optimization, and drug discovery. By integrating theoretical foundations with experimental advancements, this article aims to provide a clear and accessible reference for students, researchers, and scientists entering the rapidly evolving field of quantum computing.

•Feb 11, 2026•0 citations

Quantum Computing

Dr. R. N. Ravikumar Dr. M. Earnest Stephen Gnanadoss Mr. L. Madhi Madhan Mr.Shiv Gulam

Quantum Computing represents a transformative shift in the way we process information. Rooted in the principles of quantum mechanics—superposition, entanglement, and interference—it promises computational capabilities far beyond the reach of classical machines. Problems once considered intractable, such as large-scale optimization, cryptographic analysis, and complex system simulations, now appear within conceivable reach. This book is designed to provide a clear and structured introduction to the foundations and frontiers of quantum computing. It bridges the gap between theory and practice, guiding readers from the fundamental concepts of qubits and quantum gates to advanced topics such as quantum algorithms, error correction, and emerging quantum architectures. Mathematical rigor is balanced with intuitive explanations, ensuring accessibility for students, researchers, and professionals from diverse backgrounds in science, engineering, and computing.

•Jan 20, 2026•0 citations

Quantum Technologies

Rainer Müller, Franziska Greinert

How does a quantum computer work and how can photons be used to transmit messages securely? Intended for engineering and computer science students, this introduction to quantum technologies presents the fundamentals of quantum computing, quantum communication, and quantum sensing without requiring extensive previous knowledge of physics.

De Gruyter eBooks•Oct 19, 2023•7 citations

A Technical Note for a Shor’s Algorithm by Phase Estimation

Gérard Fleury, Philippe Lacomme

The objective of this paper concerns at first the motivation and the method of Shor’s algorithm including remarks on quantum computing introducing an algorithmic description of the method. The corner stone of the Shor’s a... | Find, read and cite all the research you need on Tech Science Press

arXiv:2206.00757•Journal of quantum computing•Jan 1, 2022•1 citation
This work aims to introduce the fundamental concepts required to perform computations on photonic quantum computers by presenting the gates specific to this architecture and highlighting the connections between standard Pauli gates and those available in photonic systems. The introduction navigates between physical considerations related to the optical components used, theoretical aspects concerning quantum operators, and a more applied section introducing implementations using the Perceval library developed by Quandela. This paper is intended for engineers and researchers familiar with Pauli gates and standard quantum concepts, looking at a clear and compact introduction to photonic components. A second part aims to introduce the concept of polarization, not from a theoretical perspective, but through its practical applications. To do so, we compare the similarities and differences between the original Grover's algorithm formulation and a version that leverages polarization. Gates specific to polarization are introduced and described in the context of the computations involved in Grover's algorithm. The description provided is as mathematical as possible and deliberately avoids physical considerations, in order to allow researchers familiar with "conventional" quantum circuits to more easily grasp the concepts.
Quantum Computation presents the mathematics of quantum computation. The purpose is to introduce the topic of quantum computing to students in computer science, physics and mathematics who have no prior knowledge of this field. The book is written in two parts. The primary mathematical topics required for an initial understanding of quantum computation are dealt with in Part I: sets, functions, complex numbers and other relevant mathematical structures from linear and abstract algebra. Topics are illustrated with examples focussing on the quantum computational aspects which will follow in more detail in Part II. Part II discusses quantum information, quantum measurement and quantum algorithms. These topics provide foundations upon which more advanced topics may be approached with confidence. Features A more accessible approach than most competitor texts, which move into advanced, research-level topics too quickly for today's students. Part I is comprehensive in providing all necessary mathematical underpinning, particularly for those who need more opportunity to develop their mathematical competence. More confident students may move directly to Part II and dip back into Part I as a reference. Ideal for use as an introductory text for courses in quantum computing. Fully worked examples illustrate the application of mathematical techniques. Exercises throughout develop concepts and enhance understanding. End-of-chapter exercises offer more practice in developing a secure foundation.
Quantum computing represents a transformative paradigm that exploits the principles of quantum mechanics—superposition, entanglement, and quantum interference—to perform computations beyond the capabilities of classical computers. This review presents a comprehensive overview of the fundamental concepts underlying quantum computation, including qubits, quantum gates, quantum algorithms and measurement theory. It further examines major physical implementations of quantum computers, such as superconducting circuits, trapped ions, photonic systems, spin-based qubits, and topological approaches, highlighting their operational principles, advantages, and technological limitations. Key challenges hindering large-scale quantum computation—decoherence, error rates, qubit scalability, and fault tolerance—are critically discussed. Additionally, recent progress in quantum error correction, hybrid quantum–classical algorithms, and hardware optimization is summarized. The review concludes by outlining future research directions and potential applications of quantum computing in cryptography, materials science, optimization, and drug discovery. By integrating theoretical foundations with experimental advancements, this article aims to provide a clear and accessible reference for students, researchers, and scientists entering the rapidly evolving field of quantum computing.
Quantum Computing represents a transformative shift in the way we process information. Rooted in the principles of quantum mechanics—superposition, entanglement, and interference—it promises computational capabilities far beyond the reach of classical machines. Problems once considered intractable, such as large-scale optimization, cryptographic analysis, and complex system simulations, now appear within conceivable reach. This book is designed to provide a clear and structured introduction to the foundations and frontiers of quantum computing. It bridges the gap between theory and practice, guiding readers from the fundamental concepts of qubits and quantum gates to advanced topics such as quantum algorithms, error correction, and emerging quantum architectures. Mathematical rigor is balanced with intuitive explanations, ensuring accessibility for students, researchers, and professionals from diverse backgrounds in science, engineering, and computing.