Filling the gap between quantum no-cloning and classical duplication

TL;DR

This paper demonstrates that classical information duplication can be achieved through a universal quantum cloning process, bridging the gap between quantum no-cloning and classical copying by leveraging redundancy and error tolerance.

Contribution

It proves that classical duplication is realizable via quantum cloning, showing how classical information can be redundantly copied with high fidelity despite quantum limitations.

Findings

Classical duplication can be modeled as a quantum cloning process.

High-fidelity classical copies are possible with tolerable quantum errors.

Redundancy enables self-correcting classical information duplication.

Abstract

The correspondence principle suggests that a quantum description for the microworld should be naturally transited to a classical description within the classical limit. However, it seems that there is a large gap between quantum no-cloning and classical duplication. In this paper, we prove that a classical duplication process can be realized using a universal quantum cloning machine. In the classical world, information is encoded in a large number of quantum states instead of one quantum state. When tolerable errors occur in a small number of the quantum states, the fidelity of duplicated copies of classical information can approach unity. That is, classical information duplication is equivalent to a redundant quantum cloning process with self-correcting.