5 papers
Structure-Fair Quantum Circuit Complexity: An Auditable Information-Theoretic Lower Bound
HongZheng Liu, YiNuo Tian, Zhiyue Wu
Quantum circuit complexity is often used to characterize the physical cost of state preparation, but its physical meaning depends on the reference and counting rules; the entropy-r…
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…
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 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…
The Information Theory of Self-Organization Phenomena in Thermal Systems
Hongzheng Liu, Zhiyue Wu
This paper revisits Brownian motion from the perspective of Information Theory, aiming to explore the connections between Information Theory, Thermodynamics, and Complex Science. F…