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Faithful teleportation with arbitrary pure or mixed resource states
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.Comment: 9 page
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