General Schemes for multi-particle d-dimensional Cat-like State Teleportation

TL;DR

This paper introduces two protocols for teleporting multi-particle d-dimensional cat-like states, one using Bell-basis measurements and the other using GHZ-basis measurements, with the latter mirroring Bennett et al's original single-particle protocol.

Contribution

It presents novel teleportation schemes for multi-particle d-dimensional states, including a simplified GHZ-basis measurement protocol with a mathematical formulation similar to the original single-particle teleportation.

Findings

Two distinct teleportation protocols for multi-particle d-dimensional states.

The GHZ-basis measurement protocol has a simple, elegant mathematical formulation.

The second protocol generalizes Bennett et al's original teleportation scheme.

Abstract

Two kinds of $M$-particle d-dimensional cat-like state teleportation protocols are present. In the first protocol, the teleportation is achieved by d-dimensional Bell-basis measurements, while in the second protocol it is realized by d-dimensional GHZ-basis measurement. It is also shown that the second protocol has a simple mathematical formulation that is identical to Bennett et al's original teleportation protocol for an unknown state of a single particle.