Quantum Symmetry and Entanglement Horizons

Theory, Photonic Systems, and Quantum Inspired Data Analytics
1. Auflage 2026
ISBN: 978-1-041-38635-3
Verlag: CRC Press

Buch, Englisch, 152 Seiten, Format (B × H): 156 mm x 234 mm

Reihe: Knowledge-based Engineering for Innovation

This book examines the role of translational symmetry in shaping and stabilising quantum entanglement across spatial and temporal domains. Building on foundational concepts from the EPR paradox and Bell’s theorem, it introduces a nodal–antinodal framework to explain coherence preservation and entanglement amplification. The text integrates analytical models, numerical simulations, and applications in photonic crystals, nanocavities, and time crystals, demonstrating how symmetry-based approaches enhance noise resistance, quantum communication, and light–matter interaction control, while extending these principles to quantum-inspired computational and data analysis frameworks. Explains the theoretical foundations linking translational symmetry with the dynamics and stability of quantum entanglement. Presents a nodal–antinodal framework describing mechanisms for coherence preservation and entanglement amplification. Examines temporal symmetry and its role in time crystals for sustaining entangled quantum states. Demonstrates symmetry-based strategies for noise-resistant entanglement filtering in quantum communication systems. Analyzes applications in photonic crystal fibres, moiré systems, and nanocavities for controlled light–matter interactions This book is for researchers, graduate students, and professionals in quantum physics, photonics, nanotechnology, computational science, and interdisciplinary fields involving quantum technologies and data-driven systems.

Zielgruppe

Academic

Autoren/Hrsg.

Chakrabarti, Kisalaya

Fachgebiete

• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Data Mining
• Mathematik | Informatik EDV | Informatik Technische Informatik Quantencomputer, DNA-Computing
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz
• Naturwissenschaften Physik Quantenphysik

Inhaltsverzeichnis

Chapter 1: Quantum Entanglement and Translational Symmetry

1.1 The Birth of Entanglement: EPR, Bell, and Beyond

1.2 Symmetry Principles in Classical and Quantum Systems

1.3 Translational Symmetry in Space and Time

1.4 Chakrabarti’s Framework of Symmetry and Entangled Particles

Chapter 2: Nodal and Antinodal Dynamics in Quantum Systems

2.1 Wave Phenomena: Nodes, Antinodes, and Standing Waves

2.2 Nodal Drive Forces: Stabilizers of Quantum Coherence

2.3 Antinodal Drive Forces: Amplifiers of Entanglement

2.4 Symmetry across Nodes and Antinodes

Chapter 3: Time Crystals and Broken Temporal Symmetry

3.1 The Concept of Time Crystals: Periodicity in Time

3.2 Translational Symmetry Breaking in Temporal Lattices

3.3 Nodal and Antinodal Drive Forces in Time Crystals

3.4 Entanglement Preservation in Dynamical Systems

Chapter 4: From Quantum Noise to Entanglement Filtering

4.1 Decoherence and the Problem of Quantum Noise

4.2 Translational Symmetry as a Noise-Resistant Framework

4.3 Entanglement Filtering via Nodal-Antinodal Structures

4.4 Secure Quantum Communication and Noise Control

Chapter 5: Nodal-Antinodal Dynamics: Quantum-Inspired Data Modeling and Computational Perspectives

5.1 Drawing Parallels between Quantum Dynamics and Data Systems

5.2 Nodal Forces as Stable Baselines in Time-Series Analysis

5.3 Antinodal Forces as Amplifiers of Patterns and Anomalies

5.4 Translational Symmetry and Periodicity in Data Analytics

5.5 Toward Quantum-Inspired Data Algorithms

Chapter 6: Moiré Systems and Photonic Nanocavities

6.1 Moiré Patterns as Quantum Lattices

6.2 Translational Symmetry in Photonic Crystal Cavities

6.3 Nodal-Antinodal Filtering in Moiré CQED Systems

6.4 Applications in Light-Matter Coupling and Quantum Control

Chapter 7: Beyond Quantum Boundaries

7.1 Entanglement in Many-Body and Complex Systems

7.2 Topology, Symmetry, and Emerging Quantum Phases

7.3 Hybrid Classical–Quantum Frameworks

7.4 Predictive Horizons in Quantum-Inspired Modeling

Chapter 8: Future Horizons and Applications

8.1 Quantum Computing with Symmetry-Preserved Entanglement

8.2 Secure Quantum Networks and Next-Gen Cryptography

8.3 Quantum-Inspired Data Analytics and AI Systems

8.4 Toward a Unified Framework of Symmetry, Entanglement, and Information

Chapter 9: Conclusions:

9.1 Synthesis of Translational Symmetry and Entanglement

9.2 Key Insights and Open Challenges

9.3 Pathways toward a Unified Quantum Framework

Über Autor(innen)

Kisalaya Chakrabarti has 25 years of teaching and research experience in the field of Electronics and Communication Engineering. His research domain covers different areas of Optical Communications. He has obtained Doctoral from University of Tsukuba, Japan and two Postdoctoral certificates from Utsunomiya University and National Institute for Material Science also from Japan. He has administrative experiences as Chair Professor in the department of Electronics and Communication Engineering at Bengal Institute of Technology and Management (Santiniketan), where he has also worked as Dean (R&D) for few months. He rendered his duties as Principal at Secom Engineering College situated at Sankrail, Howrah and Pailan College of Management and Technology (PCMT), Kolkata for around two years. The title of his PhD thesis was “An Investigation of Photonic Crystals and Time-Reversed Scattering using Nonstandard FDTD”. Presently he is working as a Professor in the Department of Electronics and Communication Engineering at Haldia Institute of Technology, ICARE Complex, HIT Campus, Haldia, Purba Medinipur, India.

He is the Senior Member of IEEE and he is the Life Fellow of Optical Society of India since 2005. He was the recipient of prestigious MONBUKAGAKUSHO (MEXT) Scholarship for his Doctoral Program at University of Tsukuba from the Japanese Government.