On the role of the basis of measurement in quantum gate teleportation

TL;DR

This paper investigates how the choice of measurement basis affects the ability to teleport two-qubit quantum gates, including non-Clifford gates, and discusses limitations of current teleportation schemes.

Contribution

It identifies conditions for deterministic and probabilistic teleportation of two-qubit gates with different measurement bases and explores the limitations of schemes using four-qubit entangled states.

Findings

Certain measurement bases enable deterministic teleportation of specific two-qubit gates.

Non-Clifford two-qubit gates can be teleported under particular measurement conditions.

Limitations exist in teleporting gates with schemes based on four-qubit genuine entanglement.

Abstract

Quantum teleportation is a powerful protocol with applications in several schemes of quantum communication, quantum cryptography and quantum computing. The present work shows the required conditions for a two-qubit quantum gate to be deterministically and probabilistically teleported by a quantum gate teleportation scheme using different basis of measurement. Additionally, we present examples of teleportation of two-qubit gates that do not belong to Clifford group as well the limitations of the quantum gate teleportation scheme employing a four-qubit state with genuine four-way entanglement.