Controlled Teleportation of an Arbitrary Multi-Qudit State in a General Form with d -Dimensional Greenberger–Horne–Zeilinger States

Xihan Li, Deng Fu-Guo, Hong-Yu Zhou · Chinese Physics Letters · 2007

A general scheme for controlled teleportation of an arbitrary multi-qudit state with d -dimensional Greenberger–Horne–Zeilinger (GHZ) states is proposed. For an arbitrary m -qudit state, the sender Alice performs m generalized Bell-state projective measurements on her 2 m qudits and the controllers need only take some single-particle measurements. The receiver Charlie can reconstruct the unknown m -qudit state by performing some single-qudit unitary operations on her particles if she cooperates with all the controllers. As the quantum channel is a sequence of maximally entangled GHZ states, the intrinsic efficiency for qudits in this scheme approaches 100% in principle.

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