Telecloning of qudits via partially entangled states

TL;DR

This paper explores probabilistic quantum telecloning of d-dimensional states using partially entangled channels, showing it can outperform measurement-based methods and is adaptable to various entanglement ranks.

Contribution

It introduces a probabilistic approach to universal symmetric telecloning with partially entangled states, analyzing fidelity impacts and extending to arbitrary qudit dimensions.

Findings

Probabilistic telecloning can surpass measurement-based fidelity.

Partially entangled states with maximal Schmidt rank yield high fidelity.

Method applicable to any number of copies and qudit dimensions.

Abstract

We study the process of quantum telecloning of $d$-dimensional pure quantum states using partially entangled pure states as quantum channel. This process efficiently mixes optimal universal symmetric cloning with quantum teleportation. It is shown that it is possible to implement universal symmetric telecloning in a probabilistic way using unambiguous state discrimination and quantum state separation schemes. It is also shown that other strategies, such as minimum error discrimination, lead to a decrease in the fidelity of the copies and that certain partially entangled pure states with maximal Schmidt rank lead to an average telecloning fidelity which is always above the optimal fidelity of measuring and preparation of quantum states. We also discuss the case of partially entangled pure states with non-maximal Schmidt rank. The results presented here are valid for arbitrary numbers of copies of a single input qudit state of any dimension.