Minimal classical communication and measurement complexity for quantum information splitting

TL;DR

This paper introduces simplified quantum information splitting schemes that require only single-qubit measurements and minimal classical communication, significantly reducing complexity compared to existing methods for certain known states.

Contribution

The paper presents new quantum information splitting protocols using GHZ and W states that minimize measurement and classical communication for known secret states.

Findings

Single-qubit measurement suffices for certain known states

Classical communication is reduced to one bit

Protocols outperform existing schemes in specific scenarios

Abstract

We present two quantum information splitting schemes using respectively tripartite GHZ and asymmetric W states as quantum channels. We show that, if the secret state is chosen from a special ensemble and known to the sender (Alice), then she can split and distribute it to the receivers Bob and Charlie by performing only a single-qubit measurement and broadcasting an one-cbit message. It is clear that no other schemes could possibly achieve the same goal with simpler measurement and less classical communication. In comparison, existing schemes work for arbitrary quantum states which need not be known to Alice, however she is required to perform a two-qubit Bell measurement and communicate a two-cbit message. Hence there is a trade off between flexibility and measurement complexity plus classical resource. In situations where our schemes are applicable, they will greatly reduce the measurement complexity and at the same time cut the communication overhead by one half.