Splitting of quantum information using N-qubit linear cluster states

TL;DR

This paper introduces schemes for distributing quantum information among multiple parties using N-qubit linear cluster states, enabling secure reconstruction only through cooperation, with practical measurement-based protocols.

Contribution

It presents novel measurement-based schemes for quantum information splitting using linear cluster states, including explicit circuits and feasible measurement strategies.

Findings

Schemes allow secure quantum information sharing among multiple parties.

Protocols are experimentally feasible with product basis measurements.

Reconstruction of information requires all parties to cooperate.

Abstract

We provide a number of schemes for the splitting up of quantum information among $k$ parties using a $N$-qubit linear cluster state as a quantum channel, such that the original information can be reconstructed only if all the parties cooperate. Explicit circuits are provided for these schemes, which are based on the concept of measurement based locking and unlocking of quantum information. These are experimentally feasible as they require measurements to be performed only on product basis.