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 …
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 …
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 …
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 …
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 …
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 …
We analyze the information geometric structure of time reversibility for parametric families of irreducible transition kernels of Markov chains. We define and characterize reversible …
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 …
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 …