Broadcast of a restricted set of qubit and qutrit states

TL;DR

This paper explores efficient remote state preparation protocols for restricted sets of qubit and qutrit states, reducing entanglement costs compared to teleportation, with various probabilistic and multi-receiver variations and potential applications.

Contribution

It introduces new remote state preparation methods for specific state sets, demonstrating reduced entanglement costs and multiple receiver configurations.

Findings

Reduced entanglement cost compared to teleportation.

Probabilistic protocols for multiple receivers.

Extensions to qutrit states.

Abstract

The no-cloning theorem forbids the distribution of an unknown state to more than one receiver. However, if the sender knows the state, and the state is chosen from a restricted set of possibilities, a procedure known as remote state preparation can be used to broadcast a state. Here we examine a remote state preparation protocol that can be used to send the state of a qubit, confined to the equator of the Bloch sphere, to an arbitrary number of receivers. The entanglement cost is less than that of using teleportation to accomplish the same task. We present a number of variations on this task, probabilistically sending an unknown qubit state to two receivers, sending different qubit states to two receivers, and sending qutrit states to two receivers. Finally, we discuss some applications of these protocols.