3 citations · 6 across the 11 of their papers we have counts for
5 papers · 1 filter
The operator layer cake theorem is equivalent to Frenkel's integral formula
Hao-Chung Cheng, Gilad Gour, Ludovico Lami +1
The operator layer cake theorem provides an integral representation for the directional derivative of the operator logarithm in terms of a family of projections [arXiv:2507.06232].…
Sharp estimates of quantum covering problems via a novel trace inequality
Hao-Chung Cheng, Li Gao, Christoph Hirche +2
In this paper, we prove a novel trace inequality involving two operators. As applications, we sharpen the one-shot achievability bound on the relative entropy error in a wealth of…
Layer Cake Representations for Quantum Divergences
Po-Chieh Liu, Christoph Hirche, Hao-Chung Cheng
Defining suitable quantum extensions of classical divergences often poses a challenge due to the non-commutative nature of quantum information. In this work, we propose a new appro…
Error Exponents for Quantum Packing Problems via An Operator Layer Cake Theorem
Hao-Chung Cheng, Po-Chieh Liu
In this work, we prove a one-shot random coding bound for classical-quantum channel coding, a problem conjectured by Burnashev and Holevo in 1998. By choosing the optimal input dis…
On Araki-Type Trace Inequalities
Po-Chieh Liu, Hao-Chung Cheng
In this paper, we prove a trace inequality for any positive and monotone increasing function , $s\in[0,…