74 citations · 127 across the 20 of their papers we have counts for
22 papers
Quantum Topological Data Analysis Beyond Betti Numbers: Complexity Hardness An Algorithm for Torsion Witness
Nhat A. Nghiem, Dominic W. Berry, Trung V. Phan
Recent advances have revealed an interplay between quantum computing and topological data analysis (TDA). Most quantum TDA has focused on Betti numbers, which characterize the conn…
Quantum Advantage in Topological Data Analysis via Mayer Homology
Nhat A. Nghiem, Ryan Babbush, Adam Zalcman +4
Prior work has explored quantum algorithms for topological data analysis (TDA), revealing the possibility of exponential quantum speedups in estimating the ratios of Betti numbers…
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…
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…
Quantum Algorithm for Estimating Intrinsic Geometry
Nhat A. Nghiem, Tuan K. Do, Tzu-Chieh Wei +1
High-dimensional datasets typically cluster around lower-dimensional manifolds but are also often marred by severe noise, obscuring the intrinsic geometry essential for downstream…
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…
Size and Shape of Fuzzy Spheres from Matrix/Membrane Correspondence
Hai H. Vo, Olivia M. Markowich, Angeline Hu +2
We study the size and shape statistics of ground state fuzzy spheres when projected onto the transverse plane, utilizing the regularized SU(N=2) matrix model in D=(1+3)-dimensional…
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…
Social Physics of Bacteria: Avoidance of an Information Black Hole
Trung V. Phan, Shengkai Li, Domenic Ferreris +7
Social physics explores responses to information exchange in a social network, and can be mapped down to bacterial collective signaling. Here, we explore how social inter-bacterial…
Remark on the Entropy Production of Adaptive Run-and-Tumble Chemotaxis
Minh D. N. Nguyen, Phuc H. Pham, Khang V. Ngo +3
Chemotactic active particles, such as bacteria and cells, exhibit an adaptive run-and-tumble motion, giving rise to complex emergent behaviors in response to external chemical fiel…
A Schrödinger Equation for Evolutionary Dynamics
Vi D. Ao, Duy V. Tran, Kien T. Pham +5
We establish an analogy between the Fokker-Planck equation describing evolutionary landscape dynamics and the Schrödinger equation which characterizes quantum mechanical particles,…
Stress-Induced Mutagenesis Can Further Boost Population Success in Static Ecology
Kien T. Pham, Duc M. Nguyen, Duy V. Tran +4
We have developed a mathematical model that captures stress-induced mutagenesis, a fundamental aspect of pathogenic and neoplastic evolutionary dynamics, on the fitness landscape w…
Inertial Spinner Swarm Experiments: Spin Pumping, Entropy Oscillations and Spin Frustration
Shengkai Li, Trung V. Phan, Gao Wang +3
We present here an inertial active spinning swarm consisting of mixtures of opposite handedness torque driven spinners floating on an air bed with low damping. Depending on the rel…
A Curious Use of Extra Dimension in Classical Mechanics
Trung Phan, Anh Doan
Extra dimensions can be utilized to simplify problems in classical mechanics, offering new insights. Here we show a simple example of how the motion of a test particle under the in…
Elementary Methods for Infinite Resistive Networks with Complex Topologies
Tung X. Tran, Linh K. Nguyen, Quan M. Nguyen +3
Finding the equivalent resistance of an infinite ladder circuit is a classical problem in physics. We expand this well-known challenge to new classes of network topologies, in whic…
Play. Pause. Rewind. Measuring local entropy production and extractable work in active matter
Sunghan Ro, Buming Guo, Aaron Shih +5
Time-reversal symmetry breaking and entropy production are universal features of nonequilibrium phenomena. Despite its importance in the physics of active and living systems, the e…
Infinite AC Ladder with a "Twist"
Quan M. Nguyen, Linh K. Nguyen, Tung X. Tran +3
The infinite AC ladder network can exhibit unexpected behavior. Entangling the topology brings even more surprises, found by direct numerical investigation. We consider a simple mo…
Equal Radiation Frequencies from Different Transitions in the Non-Relativistic Quantum Mechanical Hydrogen Atom
Kim Tuan Do, Trung Phan
Is it possible that two different transitions in the non-relativistic quantum mechanical model of the hydrogen atom give the same frequency? That is, can different energy level tra…
Quasi-Relativistic Doppler Effect and Non-Reciprocal Plasmons in Graphene
Dan S. Borgnia, Trung V. Phan, Leonid S. Levitov
Strong optical nonreciprocity at the nanoscale, relying on extreme one-way modes and backscattering suppression, can enable fundamentally new approaches in optoelectronics and plas…
Ballistic Heat Transfer and Energy Waves in an Electron System
Trung V. Phan, Justin C. W. Song, Leonid S. Levitov
Materials in which heat and entropy can be transmitted by directed ballistic pulses can trigger new approaches to energy transduction in solids. We predict that a ballistic energy…