Remote information concentration and multipartite entanglement in multilevel systems

TL;DR

This paper investigates remote information concentration in multilevel quantum systems, demonstrating how distributed quantum information can be deterministically concentrated using various entangled states, including pure, mixed, and bound entangled states.

Contribution

It introduces a general framework for remote information concentration in qudit systems, including the use of diverse entangled states with common stabilizers, extending previous qubit-based protocols.

Findings

Remote information concentration is achievable in d-level systems using various entangled states.

Both pure and mixed entangled states, including bound entangled states, can serve as channels.

Differences between qudit and qubit RIC protocols are analyzed.

Abstract

Remote information concentration (RIC) in $d$-level systems (qudits) is studied. It is shown that the quantum information initially distributed in three spatially separated qudits can be remotely and deterministically concentrated to a single qudit via an entangled channel without performing any global operations. The entangled channel can be different types of genuine multipartite pure entangled states which are inequivalent under local operations and classical communication. The entangled channel can also be a mixed entangled state, even a bound entangled state which has a similar form to the Smolin state, but has different features from the Smolin state. A common feature of all these pure and mixed entangled states is found, i.e., they have $d^2$ common commuting stabilizers. The differences of qudit-RIC and qubit-RIC ($d=2$) are also analyzed.