F ¨ Ur Mathematik in Den Naturwissenschaften Leipzig Faithful Teleportation with Arbitrary Pure or Mixed States Faithful Teleportation with Arbitrary Pure or Mixed States
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چکیده
Faithful teleportation of an unknown state |φ in C d is considered, where a general entangled state ρ is served as the resource. The necessary conditions of mixed states to complete perfect teleportation are proved. Based on these results, the necessary and sufficient conditions of faithful teleportation channel ρ in C m ⊗ C d and C d ⊗ C n are derived. It is shown that for ρ in C m ⊗ C d , ρ must be a maximally entangled state, while for ρ in C d ⊗ C n , ρ must be a mixed or pure maximally entangled state. Furthermore, the sender's measurements must be all projectors of maximally entangled states. On the other hand, for m, n > d, we present some classes of states for faithful teleportation.
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تاریخ انتشار 2010