Absolute maximal entanglement and quantum secret sharing

作     者：Wolfram Helwig Wei Cui José Ignacio Latorre Arnau Riera Hoi-Kwong Lo 

作者机构：Center for Quantum Information and Quantum Control (CQIQC) Department of Physics and Department of Electrical and Computer Engineering University of Toronto Toronto Ontario M5S 3G4 Canada Departament d’Estructura i Constituents de la Matèria Universitat de Barcelona 647 Diagonal 08028 Barcelona Spain Max Planck Institute for Gravitational Physics Albert Einstein Institute Am Mühlenberg 1 D-14476 Golm Germany Dahlem Center for Complex Quantum Systems Freie Universität Berlin 14195 Berlin Germany 

出 版 物：《Physical Review A》 (物理学评论A辑：原子、分子和光学物理学)

年 卷 期：2012年第86卷第5期

页      面：052335-052335页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0702[理学-物理学] 

基　　金：NSERC, Quantum-Works CRC program CIFAR MICIN (Spain) Grup consolidat (Generalitat de Catalunya) 

主　　题：QUANTUM entanglement QUANTUM information theory QUANTUM teleportation INFORMATION sharing DISTRIBUTION (Probability theory) 

摘      要：We study the existence of absolutely maximally entangled (AME) states in quantum mechanics and its applications to quantum information. AME states are characterized by being maximally entangled for all bipartitions of the system and exhibit genuine multipartite entanglement. With such states, we present a parallel teleportation protocol which teleports multiple quantum states between groups of senders and receivers. The notable features of this protocol are that (i) the partition into senders and receivers can be chosen after the state has been distributed, and (ii) one group has to perform joint quantum operations while the parties of the other group only have to act locally on their system. We also prove the equivalence between pure state quantum secret sharing schemes and AME states with an even number of parties.