Hierarchical quantum information splitting

TL;DR

This paper introduces a hierarchical quantum information splitting scheme that asymmetrically distributes a qubit among agents with different reconstruction powers, without requiring nonlocal operations, and can be adapted for controlled teleportation.

Contribution

It proposes a novel asymmetric quantum information splitting method with hierarchical agent authorities, avoiding nonlocal operations and enabling controlled teleportation.

Findings

Scheme allows asymmetric distribution of quantum information

Agents have different capabilities to reconstruct the secret

The method can be adapted for controlled teleportation

Abstract

We present a scheme for asymmetric quantum information splitting, where a sender distributes asymmetrically a qubit to distant agents in a network. The asymmetric distribution leads to that the agents have different powers to reconstruct the sender's qubit. In other words, the authorities of the agents for getting the quantum secret are hierarchized. The scheme does not need the agents to get together and make nonlocal operations. Our scheme can also be modified to implement controlled teleportation against uncooperation of part of supervisors.