Accessing quantum secrets via local operations and classical communication

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.