Quantum Generalized Measurement and Deterministic Generation of Maximum Entangled Pure State

• Published in: Communications in theoretical physics Vol. 46; no. 5; pp. 833 - 837
• Main Author: ZHANG Ming DAI Hong-Yi HU De-Wen XIE Hong-Wei
• Format: Journal Article
• Language: English
• Published: IOP Publishing 15.11.2006
• Subjects: QGPM; 最大纠缠态; 有限维量子系统; 量子广义测量
• ISSN: 0253-6102
• DOI: 10.1088/0253-6102/46/5/012

We propose the concept of the quantum generalized projector measurement （QGPM） for finite-dimensional quantum systems by studying the quantum generalized measurement. This research reveals a distinguished property of this quantum generalized measurement： no matter what the system state is prior to the measurement and what the result of the measurement occurs, the state of the system after the measurement can be collapsed into any specified pure state, i.e., the state of quantum system can be deterministically reduced to any specified pure state just by a single QGPM. Subsequently. QGPM can be used to deterministically generate the maximum entangled pure state for quantum systems. We give three concrete theoretic schemes of generating the maximum quantum entangled pure states for two 2-Jevel particles, three 2-level particles and two 3-Jevel particles, respectively.