Pauli Cloners for Pauli Channels

TL;DR

This paper introduces a quantum circuit architecture for cloning multi-qubit systems based on Pauli channels, extending existing models to more complex quantum states and noise scenarios.

Contribution

It extends the Niu--Griffiths architecture to multi-qubit systems, providing explicit constructions for various asymmetric Pauli cloners and exploring their applications in quantum communication.

Findings

Explicit constructions for asymmetric universal, phase covariant, and biased Pauli cloners.

Analysis of the relationship between Pauli errors, mutually unbiased bases, and cloning.

Demonstration of tailoring Pauli cloners to specific noise models in quantum key distribution.

Abstract

We present a quantum circuit architecture for the one-to-two cloning of $N$-qubit registers. It implements the broad class of Pauli cloners by extending the Niu--Griffiths architecture to multi-qubit systems. In the single-qubit case, we provide explicit constructions for asymmetric universal, phase covariant and biased cloners. We explore the fundamental relationship between Pauli errors, mutually unbiased bases and Pauli cloning. Furthermore, we demonstrate how Pauli cloners can be tailored to specific noise models in the context of quantum communication, especially quantum key distribution.