6 citations · 16 across the 10 of their papers we have counts for
11 papers
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…
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…
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…
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…
Lower bound for simulation cost of open quantum systems: Lipschitz continuity approach
Zhiyan Ding, Marius Junge, Philipp Schleich +1
Simulating quantum dynamics is one of the most promising applications of quantum computers. While the upper bound of the simulation cost has been extensively studied through variou…
A note on the stabilizer formalism via noncommutative graphs
Roy Araiza, Jihong Cai, Yushan Chen +5
In this short note we formulate a stabilizer formalism in the language of noncommutative graphs. The classes of noncommutative graphs we consider are obtained via unitary represent…
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…
Stability property for the quantum jump operators of an open system
Marius Junge, Peixue Wu
We show the continuity property of spectral gaps and complete Logarithmic constants in terms of the jump operators of Lindblad generators in finite dimensional setting. Our method…
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 two-…
Quantum Secret Sharing and Tripartite Information
Marius Junge, Chloe Kim, Guangkuo Liu +1
We develop a connection between tripartite information , secret sharing protocols and multi-unitaries. This leads to explicit ((2,3)) threshold schemes in arbitrary dimension…
Time fractional stochastic differential equations driven by pure jump Lévy noise
Peixue Wu, Zhiwei Yang, Hong Wang +1
In this paper we introduce a variable order time fractional differential equation driven by pure jump Lévy noise, which models the motion of a particle exhibiting memory effect. We…