8 papers
Quantum Kaczmarz Algorithm for Solving Linear Algebraic Equations
Nhat A. Nghiem, Tuan K. Do, Trung V. Phan
We introduce a quantum linear system solving algorithm based on the Kaczmarz method, a widely used workhorse for large linear systems and least-squares problems that updates the so…
Adaptive High-Level Tight Control of Prostate Cancer: A Path from From Terminal Disease to Chronic Condition
Trung V. Phan, Shengkai Li, Luciana Sarabia +9
Metastatic prostate cancer is one of the leading causes of cancer-related morbidity and mortality worldwide. It is characterized by a high mortality rate and a poor prognosis. In t…
Informational Memory Shapes Collective Behavior in Intelligent Swarms
Shengkai Li, Trung V. Phan, Luca Di Carlo +5
We present an experimental and theoretical study of 2-D swarms in which collective behavior emerges from both direct local mechanical coupling between agents and from the exchange…
Quantum Algorithm for Estimating Ollivier-Ricci Curvature
Nhat A. Nghiem, Linh Nguyen, Tuan K. Do +2
We introduce a quantum algorithm for computing the Ollivier Ricci curvature, a discrete analogue of the Ricci curvature defined via optimal transport on graphs and general metric s…
Digitization Can Stall Swarm Transport: Commensurability Locking in Quantized-Sensing Chains
Caroline N. Cappetto, Penelope Messinger, Kaitlyn S. Yasumura +7
We present a minimal model for autonomous robotic swarms in one- and higher-dimensional spaces, where identical, field-driven agents interact pairwise to self-organize spacing and…
Fractatomic Physics: An Invitation with Atomic Stability and Rydberg States in Fractal Spaces
Nhat A. Nghiem, Trung V. Phan
We explore the physical quantum properties of atoms in fractal spaces, both as a theoretical generalization of normal integer-dimensional Euclidean spaces and as an experimentally…