Quantifying Nonlocal Resources for Quantum Teleportation and Its Applications

Abstract

Quantum teleportation enables an arbitrary unknown state to be transferred from a sender to a receiver which utilizes both the maximally entangled EisteinPodolskyRosen(EPR) pair and quantum measurements However the imperfection of manufacturing or distribution in EPR pair would introduce classical element accordingly Here we consider a general scenario where classical pair are shared between a sender (Alice) and a remote receiver(Bob) and by which Alice can transmit an unknown state to Bob with the maximum success probability In this case we investigate how teleportation can be performed with physical properties Invaliding such classical teleportation protocol implies genuine quantum teleportation wherein both the shared pair state and the measurement are truly quantummechanical Our work not only shows how faithful teleportation can be realized but also the best classical teleportation ability that can simulate quantum teleportation with classical pair For quantum teleportation of tripartite state our methods can also identify genuinely tripartite nonlocality of output system Thus we provide a compelling benchmark for implementing genuine tripartite quantum teleportation

Date of Award	2021
Original language	English
Supervisor	Che-Ming Li (Supervisor)