From the 1 of 6 linked papers with an AI index.
6 papers
Sharp Continuity of Petz and Sandwiched Rényi Conditional Entropies
Hao-Chung Cheng, Po-Chieh Liu
We determine the sharp modulus of continuity, in trace distance, of the optimized Petz and sandwiched Rényi conditional entropies for every order . If two bipartit…
Superadditivity for Entanglement-Assisted Communication
Hao-Chung Cheng, Mario Berta
The paper demonstrates that, although the entanglement‑assisted capacity of a quantum channel is additive, the reliability (error exponent) can be strictly superadditive, meaning j…
Device-independent Quantum Key Distribution in the commuting operator framework
Gereon KoÃmann, René Schwonnek, Po-Chieh Liu +1
Device-independent quantum key distribution (DIQKD) is arguably the gold standard for secure quantum communication, as it aims to rely only on observed input-output statistics of a…
Multiple Quantum Hypothesis Testing: One-Shot Pairwise Bounds and Sharp Asymptotics
Hao-Chung Cheng, Po-Chieh Liu
We consider Bayesian discrimination among multiple quantum states and establish a dimension-free one-shot upper bound on the minimum probability of error in terms of the sum of pai…
Distributed Quantum Hypothesis Testing under Zero-rate Communication Constraints
Sreejith Sreekumar, Christoph Hirche, Hao-Chung Cheng +1
The trade-offs between error probabilities in quantum hypothesis testing are by now well-understood in the centralized setting, but much less is known for distributed settings. Her…
Tight any-shot quantum decoupling
Mario Berta, Hao-Chung Cheng, Yongsheng Yao
Quantum information decoupling is a fundamental primitive in quantum information theory, underlying various applications in quantum physics. We prove a novel one-shot decoupling th…