Constraint on teleportation over multipartite pure states

TL;DR

This paper introduces a measure for the usefulness of bipartite quantum states in teleportation, and proves its monogamous sharing property in three-qutrit pure states using negativity-based inequalities.

Contribution

It defines the quantum teleportation capability and demonstrates its monogamous nature in multipartite quantum systems, advancing understanding of quantum resource sharing.

Findings

Quantum teleportation capability is monogamous in three-qutrit pure states.

Negativity-based monogamy inequality applies to this measure.

Provides a new perspective on quantum resource distribution in multipartite systems.

Abstract

We first define a quantity exhibiting the usefulness of bipartite quantum states for teleportation, called the quantum teleportation capability, and then investigate its restricted shareability in multi-party quantum systems. In this work, we verify that the quantum teleportation capability has a monogamous property in its shareability for arbitrary three-qutrit pure states by employing the monogamy inequality in terms of the negativity.