Sending absolutely maximally entangled states through noisy quantum channels

TL;DR

This paper explores how absolutely maximally entangled (AME) states behave when transmitted through noisy quantum channels, revealing their robustness or sensitivity depending on the type of noise and highlighting implications for quantum communication.

Contribution

It provides a detailed analysis of AME states under different noisy channels, showing invariance under depolarizing noise and variability under dephasing noise, which was previously not well understood.

Findings

AME states are invariant under depolarizing channels.

Dephasing channels can break the symmetry of AME states.

Results inform robustness of AME states in noisy quantum systems.

Abstract

Absolutely maximally entangled states are quantum states that exhibit maximal entanglement across any bipartition, making them valuable for applications. This study investigates the behavior of qubit AME states under the influence of noisy quantum channels. Our results demonstrate that for certain channels, such as the depolarizing channel, the entanglement properties remain invariant under local unitary transformations and are independent of the choice of qubits in each subset. However, for channels like the dephasing channel, the entanglement behavior can vary depending on the specific AME state and the choice of qubits, revealing a symmetry-breaking effect. These findings highlight the nuanced relationship between AME states and noise, providing insights into their robustness and potential applications in noisy quantum systems.