Secret Sharing with a Single d-level Quantum System

TL;DR

This paper introduces a quantum secret sharing protocol that uses only a single d-level quantum system, simplifying implementation and enhancing scalability compared to traditional multi-party entanglement methods.

Contribution

It presents a novel secret sharing protocol utilizing a single quantum d-level system, reducing complexity and resource requirements.

Findings

Protocol works with any prime d

Requires only sequential communication of one quantum system

Can be implemented with current technology

Abstract

We give an example of a wide class of problems for which quantum information protocols based on multi-system entanglement can be mapped into much simpler ones involving one system. Secret sharing is a cryptographic primitive which plays a central role in various secure multiparty computation tasks and management of keys in cryptography. In secret sharing protocols, a classical message is divided into shares given to recipient parties in such a way that some number of parties need to collaborate in order to reconstruct the message. Quantum protocols for the task commonly rely on multi-partite GHZ entanglement. We present a multiparty secret sharing protocol which requires only sequential communication of a single quantum d-level system (for any prime d). It has huge advantages in scalabilility and can be realized with the state of the art technology. n be realized with the state of the art technology.