Accessing quantum secrets via local operations and classical communication

TL;DR

This paper introduces a quantum secret-sharing protocol that reduces the need for non-local quantum operations by embedding classical linear codes into quantum error-correcting codes, simplifying decoding.

Contribution

It presents a novel quantum secret-sharing scheme leveraging classical codes to minimize quantum communication channels, advancing decoding methods for quantum error correction.

Findings

Reduces quantum communication channels in secret-sharing

Embeds classical linear codes into quantum error-correcting codes

Simplifies quantum error-correcting code decoding

Abstract

Quantum secret-sharing and quantum error-correction schemes rely on multipartite decoding protocols, yet the non-local operations involved are challenging and sometimes infeasible. Here we construct a quantum secret-sharing protocol with a reduced number of quantum communication channels between the players. Our scheme is based on embedding a classical linear code into a quantum error-correcting code. Our work paves the way towards the more general problem of simplifying the decoding of quantum error-correcting codes.