7 papers
Probing the Critical Point (CritPt) of AI Reasoning: a Frontier Physics Research Benchmark
Minhui Zhu, Minyang Tian, Xiaocheng Yang +61
While large language models (LLMs) with reasoning capabilities are progressing rapidly on high-school math competitions and coding, can they reason effectively through complex, ope…
Resource-Dependent Complexity of Quantum Channels
Roy Araiza, Yidong Chen, Marius Junge +1
We introduce a new framework for quantifying the complexity of quantum channels, grounded in a suitably chosen resource set. This class of convex functions is designed to analyze t…
Quantum capacity amplification via privacy
Peixue Wu, Yunkai Wang
We investigate superadditivity of quantum capacity through private channels whose Choi-Jamiolkowski operators are private states. This perspective links the security structure of p…
Reverse-type Data Processing Inequality
Paula Belzig, Li Gao, Graeme Smith +1
The quantum data processing inequality asserts that two quantum states become harder to distinguish when a noisy channel is applied. On the other hand, a reverse quantum data proce…
Transportation cost and contraction coefficient for channels on von Neumann algebras
Roy Araiza, Marius Junge, Peixue Wu
We present a noncommutative optimal transport framework for quantum channels acting on von Neumann algebras. Our central object is the Lipschitz cost measure, a transportation-insp…
Heat kernel estimates for regional fractional Laplacians with multi-singular critical potentials in open sets
Renming Song, Peixue Wu, Shukun Wu
Let be an open set of , and let be the generator of the censored -stable process in . In this paper, we establish sharp t…