• Santosh P Mahajan

Quantum entanglement, a remarkable phenomenon in the realm of quantum mechanics, has captured the attention of physicists and researchers alike due to its profound implications for our understanding of the fundamental nature of the universe. This abstract provides a concise overview of quantum entanglement's significance in modern physics, outlining its role in challenging classical intuitions and paving the way for transformative applications.This research paper delves into the depths of quantum entanglement, aiming to elucidate its intricate theoretical underpinnings and its wide-ranging practical implications. The primary objective is to unravel the complex mathematics and conceptual framework that govern entanglement, shedding light on its behavior in bipartite and multipartite systems. We investigate entanglement measures, such as von Neumann entropy and concurrence, which quantify the degree of correlation between entangled particles. Moreover, we explore the entanglement swapping phenomenon, offering a glimpse into the potential of harnessing entanglement for revolutionary quantum communication protocols.In the realm of applications, this paper uncovers the transformative potential of entanglement. Quantum teleportation, a manifestation of entanglement's non-local nature, is discussed alongside its experimental realizations and implications for secure communication. Quantum cryptography emerges as a tangible outcome, offering cryptographic schemes fortified by the laws of quantum mechanics. Additionally, the paper delves into the role of entanglement in quantum computing, quantum sensing, and metrology, demonstrating its pivotal role in these cutting-edge technologies. The research culminates in a reflection on the intricate interplay between entanglement and the fabric of space-time, as observed in black hole physics and the holographic principle. Moreover, it addresses ongoing theoretical inquiries and emerging frontiers in this captivating field. Through a comprehensive exploration of both theory and applications, this paper contributes to a deeper comprehension of quantum entanglement's profound significance in modern physics and its potential to revolutionize technological landscapes.

"Exploring Quantum Entanglement: Theoretical Insights and Applications in Modern Physics.", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.8, Issue 10, page no.f467-f475, October-2021, Available :http://www.jetir.org/papers/JETIR2110564.pdf

"Exploring Quantum Entanglement: Theoretical Insights and Applications in Modern Physics.", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.8, Issue 10, page no. ppf467-f475, October-2021, Available at : http://www.jetir.org/papers/JETIR2110564.pdf