Sending absolutely maximally entangled states through noisy quantum channels

• URL: http://arxiv.org/abs/2505.06755v1
• Date: Sat, 10 May 2025 21:00:44 GMT
• Title: Sending absolutely maximally entangled states through noisy quantum channels
• Authors: Maria Stawska, Jan Wójcik, Andrzej Grudka, Antoni Wójcik,
• Abstract summary: This study investigates the behavior of qubit AME states under the influence of noisy quantum channels.<n>For certain channels, such as the depolarizing channel, the entanglement properties remain invariant under local unitary transformations.<n>For channels like the dephasing channel, the entanglement behavior can vary depending on the specific AME state and the choice of qubits.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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