Quantum teleportation via a<i>W</i>state

TLDR

The study explores two quantum teleportation schemes using a W state, distinct from the GHZ class. The authors analyze two protocols: one where a sender performs a Bell measurement on a shared W state, and another where the sender performs POVMs on two particles, computing success probabilities and average fidelities for each. They find that the unknown state’s information is distributed between two parties and can be recovered probabilistically, and that the second scheme’s average fidelity never surpasses that of the first.

Abstract

We investigate two schemes of quantum teleportation with a W state, which belongs to a different class from the Greenberger–Horne–Zeilinger class. In the first scheme, the W state is shared by three parties, one of whom, called a sender, performs a Bell measurement. It is shown that the quantum information of an unknown state is split between two parties and recovered with a certain probability. In the second scheme, a sender takes two particles of the W state and performs positive operator valued measurements. For the two schemes, we calculate the success probability and the average fidelity. We show that the average fidelity of the second scheme cannot exceed that of the first one.