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International Conference on Information Technology and Management Innovation (ICITMI)

Research into Quantum Measurement and De-coherence

Zhiguo Wang

Published Jan 1, 2015• 0 citations
Publisher

Abstract

Measurement is a very important object of quantum information and quantum computation theory, and an important tool for obtaining quantum information.The development of quantum measurement theory not only plays a very important role in the field of quantum theory, but also gradually penetrates into other inter-disciplines.This thesis introduces the theory of quantum measurement and communication, explores the features of quantum teleportation and privacy communication, and addresses the issue of quantum de-coherence in the process of measurement, which can offer some beneficial enlightenment to us in acquiring a further understanding of the theory of quantum communication.

DOI
10.2991/icitmi-15.2015.70

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Measurement is a very important object of quantum information and quantum computation theory, and an important tool for obtaining quantum information.The development of quantum measurement theory not only plays a very important role in the field of quantum theory, but also gradually penetrates into other inter-disciplines.This thesis introduces the theory of quantum measurement and communication, explores the features of quantum teleportation and privacy communication, and addresses the issue of quantum de-coherence in the process of measurement, which can offer some beneficial enlightenment to us in acquiring a further understanding of the theory of quantum communication.
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.
Quantum information theory represents a revolutionary paradigm that merges quantum mechanics with information science, fundamentally transforming our understanding of computation, communication, and information processing. This chapter provides a comprehensive examination of quantum information theory, exploring its theoretical foundations, practical applications, and transformative potential across multiple domains. We investigate the core principles including quantum bits (qubits), superposition, entanglement, and quantum interference, while analyzing their implications for quantum computing, cryptography, and communication protocols. Through systematic literature review and methodological analysis, we present current research trends, breakthrough developments, and emerging applications. The chapter addresses significant challenges including decoherence, error correction, and scalability issues that currently limit practical implementation. Our discussion encompasses quantum algorithms, quantum error correction codes, and the evolving landscape of quantum technologies. We conclude by identifying future research directions and the potential societal impact of quantum information systems, emphasizing both the unprecedented opportunities and the technical obstacles that define this rapidly advancing field.
This paper proposes a novel computational model based on quantum measurement theory. The core idea is to treat computation as a series of quantum measurements, offering a potentially transformative paradigm for computing. We decompose computational tasks into sequences of measurements, leveraging mathematical tools from quantum measurement theory to perform calculations. The model explores the impact of the measurement process on computational efficiency. Unlike existing models rooted in classical physics, this approach directly addresses the fundamental role of measurement in information processing, potentially unlocking new computational possibilities. The model is presented with detailed mathematical formulations, focusing on measurement operators, state vectors, and the dynamics of measurement processes. The analysis aims to provide a theoretical framework for understanding and developing quantum computation based on the principles of measurement. ---
The theory of quantum communication and technology have been one of hot research topics in information science and technology since 1980's. In this paper, we survey some research development of several mathematical problems in quantum information theory. Particularly, we focus on the important role of combinatorics (including graph theory), number theory, algebra and algebraic geometry (the arithmetic theory of algebraic curves over finite field) in investigating quantum measurement and quantum error-correction.