Upper Bounds on the Distillable Randomness of Bipartite Quantum States

Lami, Ludovico; Regula, Bartosz; Wang, Xin; Wilde, Mark M.

doi:10.1109/itw55543.2023.10161613

2023 IEEE Information Theory Workshop (ITW) 2023

DOI: 10.1109/itw55543.2023.10161613

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Upper Bounds on the Distillable Randomness of Bipartite Quantum States

Ludovico Lami,

Bartosz Regula,

Xin Wang

et al.

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2024

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Cited by 3 publications

References 39 publications

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Fidelity-Based Smooth Min-Relative Entropy: Properties and Applications

Nuradha,

Wilde

2024

IEEE Trans. Inform. Theory

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Fidelity-Based Smooth Min-Relative Entropy: Properties and Applications

Nuradha,

Wilde

2024

IEEE Trans. Inform. Theory

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Communication Complexity of Common Randomness Generation With Isotropic States

Dong,

Yao

2024

IEEE Trans. Inform. Theory

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A special case on the distillability problem of two-copy n×n Werner states

Chen

2024

Mod. Phys. Lett. B

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In this paper, we delve into a nuanced aspect of the distillability problem within the realm of entanglement theory, specifically examining the distillability of anti-diagonal [Formula: see text] entangled Werner states under the framework of local operations and classical communication (LOCC). To address this, we scrutinize a conjecture central to the distillability issue, initially focusing on its implications in 4-dimensional and 5-dimensional contexts. Through rigorous calculations, we establish that these cases align with the conjecture. Subsequently, we broaden our investigation to encompass [Formula: see text] matrices, demonstrating that both even and odd n-dimensional anti-diagonal matrices are in concordance with the conjecture, thus contributing to a deeper understanding of the distillability problem in quantum entanglement.

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Upper Bounds on the Distillable Randomness of Bipartite Quantum States

Cited by 3 publications

References 39 publications

Fidelity-Based Smooth Min-Relative Entropy: Properties and Applications

Fidelity-Based Smooth Min-Relative Entropy: Properties and Applications

Communication Complexity of Common Randomness Generation With Isotropic States

A special case on the distillability problem of two-copy n×n Werner states

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