Some Issues in Quantum Information Theory

• Published in: Journal of computer science and technology Vol. 21; no. 5; pp. 776 - 789
• Main Authors: Duan, Run-Yao, Ji, Zheng-Feng, Feng, Yuan, Ying, Ming-Sheng
• Format: Journal Article
• Language: English
• Published: Beijing Springer Nature B.V 01.09.2006; State Key Laboratory of Intelligent Technology and Systems, Department of Computer Science and Technology Tsinghua University, Beijing 100084, P.R. China
• Subjects: Applications of mathematics; Catalysis; Data processing; Discrimination; Entanglement; Information theory; Interdisciplinary studies; Mathematical models; Quantum computing; Quantum entanglement; Quantum mechanics; Quantum phenomena; Quantum physics; Quantum theory; Tasks; Transformations; discrimination; entanglement transformation; quantum information; quantum computing
• ISSN: 1000-9000; 1860-4749
• DOI: 10.1007/s11390-006-0776-3

Quantum information theory is a new interdisciplinary research field related to quantum mechanics, computer science, information theory, and applied mathematics. It provides completely new paradigms to do information processing tasks by employing the principles of quantum mechanics. In this review, we first survey some of the significant advances in quantum information theory in the last twenty years. We then focus mainly on two special subjects: discrimination of quantum objects and transformations between entanglements. More specifically, we first discuss discrimination of quantum states and quantum apparatus in both global and local settings. Secondly, we present systematical characterizations and equivalence relations of several interesting entanglement transformation phenomena, namely entanglement catalysis, multiple-copy entanglement transformation, and partial entanglement recovery.