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Conference on Lasers and Electro-Optics

Entanglement, decoherence, and quantum information

L. Davidovich

Published May 4, 2008• 0 citations
OpenAlex

Abstract

Multiphoton entangled states are important for quantum cryptography, quantum computation, precise measurements, and subtle tests of quantum mechanics. I will review recent progress in this area, emphasizing some basic applications and the role of decoherence.

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Multiphoton interference reveals strictly nonclassical phenomena. Its applications range from fundamental tests of quantum mechanics to photonic quantum information processing, where a significant fraction of key experiments achieved so far comes from multiphoton state manipulation. The progress, both theoretical and experimental, of this rapidly advancing research is reviewed. The emphasis is given to the creation of photonic entanglement of various forms, tests of the completeness of quantum mechanics (in particular, violations of local realism), quantum information protocols for quantum communication (e.g., quantum teleportation, entanglement purification, and quantum repeater), and quantum computation with linear optics. The scope of the review is limited to ``few-photon'' phenomena involving measurements of discrete observables.
Quantum entangled states play very important roles in quantum information processing,such as quantum teleportation,dense coding,error correction,cryptography,and computation.The theory of entanglement mainly concerns the characterization of quantum entanglement and the classification of quantum states,as well as its applications in quantum information processing.We present some basic concepts and results,including:the relationship between locality and reality in quantum mechanics and Bell inequalities,and that between Bell inequalities and the separability of quantum states;the definition of separability for pure and mixed quantum states,and some separability criteria such as the positive map approach,positive partial transpose,reduction criterion,realignment,entanglement witnesses,and the covariance matrix approach and local uncertainty relations;some entanglement measures such as the entanglement of formation,concurrence,relative entropy,negativity,tangle,entanglement of assistance,and their estimation;the change in entanglement when the physical system evolves or undergoes interaction with the environment.
Quantum entanglement, one of the most intriguing phenomena in quantum mechanics, forms the cornerstone of emerging technologies in quantum information science. It describes the non-classical correlations between spatially separated particles, whereby the measurement outcome of one particle instantaneously determines the state of the other, regardless of the distance between them. This paper explores the fundamental principles of quantum entanglement and its critical role in advancing quantum cryptography and quantum computing. In cryptography, entanglement enables protocols such as Ekert’s E91 and BBM92 quantum key distribution schemes, which leverage nonlocal correlations to ensure unconditional security based on the violation of Bell’s inequalities. In quantum computing, entanglement serves as a powerful computational resource, facilitating speedups in algorithms, enabling quantum teleportation, and supporting robust quantum error correction techniques. The discussion integrates both theoretical underpinnings and experimental realizations, highlighting recent advances in photonic entanglement sources, superconducting qubits, and trapped-ion systems. Challenges related to decoherence, scalability, and entanglement distribution in quantum networks are examined, along with potential solutions. By bridging foundational theory with practical applications, this study underscores the pivotal role of entanglement in shaping the future of secure communications and computational paradigms beyond the capabilities of classical systems.
Quantum Information Theory (QIT) has emerged as one of the most influential fields in modern science, combining the principles of quantum mechanics with classical information theory. It forms the theoretical foundation of advanced technologies such as quantum computing, quantum communication, and quantum cryptography. Despite remarkable progress in these areas, the measurement problem remains a fundamental conceptual and practical challenge. Measurement in quantum mechanics plays a dual role: it enables information extraction while simultaneously disturbing the quantum system. This paper presents a detailed study of the measurement problem within the framework of quantum information theory. It examines the role of measurement in quantum state evolution, the effects of entanglement and decoherence, and the impact on information processing tasks. The paper also discusses existing theoretical approaches and highlights the importance of resolving measurement-related issues for the future development of quantum technologies.