Economical (k,m)-threshold controlled quantum teleportation

TL;DR

This paper introduces a new (k,m)-threshold controlled quantum teleportation scheme that uses m qubits for controllers, offering advantages over classical control methods in quantum communication.

Contribution

It proposes a quantum control scheme using m qubits instead of higher-dimensional qudits, simplifying implementation and enhancing control in quantum teleportation.

Findings

Uses m qubits for controllers instead of higher-dimensional qudits.

Highlights benefits of quantum control over classical control.

Provides a scheme compatible with standard polynomial coding.

Abstract

We study a (k,m)-threshold controlling scheme for controlled quantum teleportation. A standard polynomial coding over GF(p) with prime p > m-1 needs to distribute a d-dimensional qudit with d >= p to each controller for this purpose. We propose a scheme using m qubits (two-dimensional qudits) for the controllers' portion, following a discussion on the benefit of a quantum control in comparison to a classical control of a quantum teleportation.