Physics – Quantum Physics
Scientific paper
2011-04-22
J. Phys. A: Math. Theor. 44 (2011) 215302
Physics
Quantum Physics
9 pages
Scientific paper
We study faithful teleportation systematically with arbitrary entangled states as resources. The necessary conditions of mixed states to complete perfect teleportation are proved. Based on these results, the necessary and sufficient conditions of faithful teleportation of an unknown state |\phi> in C^d with an entangled resource {\rho} in C^m \otimes C^d and C^d \otimes C^n are derived. It is shown that for {\rho} in C^m\otimesC^d, {\rho} must be a maximally entangled state, while for {\rho} in C^d \otimes C^n, {\rho} must be a puremaximally entangled state. Moreover, we show that the sender's measurements must be all projectors of maximally entangled pure states. The relations between the entanglement of the formation of the resource states and faithful teleportation are also discussed.
Fei Shao-Ming
Li Zong-Guo
Li-Jost Xianqing
Wang Zhi-Xi
Zhao Ming-Jing
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