Quantum-information Division and an Optimal Uncorrelated Channel

TL;DR

This paper investigates quantum-information division, demonstrating its probabilistic feasibility through optimal fidelity strategies, and reveals how output conditions significantly influence the fidelity outcomes, contrasting with imperfect cloning scenarios.

Contribution

It introduces a probabilistic approach to quantum-information division and analyzes how output constraints affect optimal fidelity, providing new insights into quantum channel design.

Findings

Quantum-information division is feasible probabilistically.

Optimal fidelities vary with output symmetry conditions.

Contrasts with behavior observed in imperfect cloning.

Abstract

We consider quantum-information division, which is characterized by a channel whose outputs have no correlation and are not completely randomized. We show that the quantum-information division is possible in a probabilistic manner by optimizing the average fidelity in the channel with $M$ outputs in both deterministic and probabilistic cases. Moreover, we show that the optimal fidelities drastically change depending on the condition imposed on the outputs (symmetric and asymmetric), which is quite in contrast to the case of imperfect cloning.