4 papers
Structure-Fair Quantum Circuit Complexity: An Auditable Information-Theoretic Lower Bound
HongZheng Liu, YiNuo Tian, Zhiyue Wu
Quantifying the complexity of quantum states that possess intrinsic structure, such as symmetry or encoding, in a fair manner constitutes a core challenge in the benchmarking of qu…
A Heuristic Study of Temperature: Quantum Circuitry in Thermal Systems
HongZheng Liu, YiNuo Tian, Zhiyue Wu
The singularities prevalent in classical thermodynamics largely stem from the "postulate of equal a priori probabilities" neglecting the physical constraints imposed by computation…
The Cost of Nonlocality: A Dynamical Performance Equation of Energy-Entanglement-Complexity
HongZheng Liu, YiNuo Tian, Zhiyue Wu
This work aims to quantify the physical cost of generating non-local entanglement in systems governed by local interactions. By unifying the quantum speed limit and Lieb-Robinson b…
The Exploratory Study on the Relationship Between the Failure of Distance Metrics in High-Dimensional Space and Emergent Phenomena
HongZheng Liu, YiNuo Tian, Zhiyue Wu
This paper presents a unified framework, integrating information theory and statistical mechanics, to connect metric failure in high-dimensional data with emergence in complex syst…