Transcendental Properties of Entropy-Constrained Sets

Article Physics, Multidisciplinary

Fundamental Limits on Correlated Catalytic State Transformations

Roberto Rubboli et al.

Summary: This article studies the problem of catalytic transformations in resource theory, proving that a smaller residual correlation requires a higher amount of resources for the catalyst. It also demonstrates that in imperfect catalysis, a small error results in a highly important embezzling catalyst.

PHYSICAL REVIEW LETTERS (2022)

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Article Physics, Multidisciplinary

Entropy and Reversible Catalysis

H. Wilming

Summary: Nondecreasing entropy serves as a necessary and sufficient condition for transforming the state of a physical system by a reversible transformation. This applies to both finite-dimensional quantum mechanics and systems described by probability distributions. The results provide a complete single-shot characterization of von Neumann entropy and Shannon entropy without external randomness.

PHYSICAL REVIEW LETTERS (2021)

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Article Physics, Multidisciplinary

Catalytic Transformations of Pure Entangled States

Tulja Varun Kondra et al.

Summary: This study explores the quantification of quantum entanglement and its relationship with entanglement distillation. It is shown that entanglement entropy completely characterizes state transformations in the presence of entangled catalysts, giving operational significance to asymptotic results in the single-copy setting.

PHYSICAL REVIEW LETTERS (2021)

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Article Physics, Multidisciplinary

Catalytic Quantum Teleportation

Patryk Lipka-Bartosik et al.

Summary: This study introduces a new teleportation protocol based on catalytic entanglement to overcome fundamental limitations of quantum teleportation. It demonstrates that catalytic entanglement can simulate a noiseless quantum channel with superior quality compared to using only shared entanglement, showing genuine advantages in quantum-information processing tasks. Additionally, the idea of entanglement catalysis can be applied to study more general problems in quantum mechanics.

PHYSICAL REVIEW LETTERS (2021)

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Article Mathematics