Hierarchical quantum communication

TL;DR

This paper introduces a general framework for hierarchical quantum information splitting, explores its implementation with various 4-qubit states, and extends it to probabilistic and secret sharing schemes, highlighting practical applications.

Contribution

It presents a systematic approach to HQIS using different 4-qubit entangled states and extends the scheme to probabilistic and secret sharing versions.

Findings

Explicit HQIS examples with 4-qubit cluster and |rak{Omega}> states

Generalization to probabilistic hierarchical quantum information splitting

Development of hierarchical quantum secret sharing schemes

Abstract

A general approach to study the hierarchical quantum information splitting (HQIS) is proposed and the same is used to systematically investigate the possibility of realizing HQIS using different classes of 4-qubit entangled states that are not connected by SLOCC. Explicit examples of HQIS using 4-qubit cluster state and 4-qubit |\Omega> state are provided. Further, the proposed HQIS scheme is generalized to introduce two new aspects of hierarchical quantum communication. To be precise, schemes of probabilistic hierarchical quantum information splitting and hierarchical quantum secret sharing are obtained by modifying the proposed HQIS scheme. A number of practical situations where hierarchical quantum communication would be of use are also presented.