Converses for secret key agreement and secure computing

H Tyagi, S Watanabe - IEEE Transactions on Information …, 2015 - ieeexplore.ieee.org
We consider information theoretic secret key (SK) agreement and secure function
computation by multiple parties observing correlated data, with access to an interactive …

Information geometry of Markov kernels: a survey

G Wolfer, S Watanabe - Frontiers in Physics, 2023 - frontiersin.org
Information geometry and Markov chains are two powerful tools used in modern fields such
as finance, physics, computer science, and epidemiology. In this survey, we explore their …

Error exponent and strong converse for quantum soft covering

HC Cheng, L Gao - IEEE Transactions on Information Theory, 2023 - ieeexplore.ieee.org
How well can we approximate a quantum channel output state using a random codebook
with a certain size? In this work, we study the quantum soft covering problem, which uses a …

Coherence and entanglement measures based on Rényi relative entropies

H Zhu, M Hayashi, L Chen - Journal of Physics A: Mathematical …, 2017 - iopscience.iop.org
We study systematically resource measures of coherence and entanglement based on
Rényi relative entropies, which include the logarithmic robustness of coherence, geometric …

Moderate deviation analysis for classical-quantum channels and quantum hypothesis testing

HC Cheng, MH Hsieh - IEEE Transactions on Information …, 2017 - ieeexplore.ieee.org
In this paper, we study the tradeoffs between the error probabilities of classical-quantum
channels and the block-length n when the transmission rates approach the channel capacity …

Bregman divergence based em algorithm and its application to classical and quantum rate distortion theory

M Hayashi - IEEE Transactions on Information Theory, 2023 - ieeexplore.ieee.org
We formulate em algorithm in the framework of Bregman divergence, which is a general
problem setting of information geometry. That is, we address the minimization problem of the …

Quantum broadcast channel simulation via multipartite convex splitting

HC Cheng, L Gao, M Berta - arXiv preprint arXiv:2304.12056, 2023 - arxiv.org
We show that the communication cost of quantum broadcast channel simulation under free
entanglement assistance between the sender and the receivers is asymptotically …

Information geometry of reversible Markov chains

G Wolfer, S Watanabe - Information Geometry, 2021 - Springer
We analyze the information geometric structure of time reversibility for parametric families of
irreducible transition kernels of Markov chains. We define and characterize reversible …

Non-asymptotic classical data compression with quantum side information

HC Cheng, EP Hanson, N Datta… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
In this paper, we analyze classical data compression with quantum side information (also
known as the classical-quantum Slepian–Wolf protocol) in the so-called large and moderate …

Moderate deviation expansion for fully quantum tasks

N Ramakrishnan, M Tomamichel… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
The moderate deviation regime is concerned with the finite block length trade-off between
communication cost and error for information processing tasks in the asymptotic regime …