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

TL;DR

This paper presents a comprehensive scheme for controlled teleportation of multi-qudit states using d-dimensional GHZ states, enabling efficient and flexible quantum state transfer with minimal measurements.

Contribution

It introduces a general protocol for teleporting arbitrary multi-qudit states with high efficiency using GHZ states and simplified measurement procedures.

Findings

Achieves near 100% intrinsic efficiency for qudits.

Requires only single-particle measurements for controllers.

Allows the receiver to reconstruct the state via local unitary operations.

Abstract

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 2m 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.