69 citations · 93 across the 35 of their papers we have counts for
15 papers · 1 filter
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…
Quantum Algorithms for Computing Maximal Quantum -divergence and Kubo-Ando means
Trung Hoa Dinh, Nhat A. Nghiem
The development of quantum computation has resulted in many quantum algorithms for a wide array of tasks. Recently, there is a growing interest in using quantum computing technique…
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 topological data analysis algorithm for dynamical systems
Nhat A. Nghiem
Dynamical systems appear in nearly every aspect of the physical world. As such, understanding the properties of dynamical systems is of great importance. Typically, a dynamical sys…
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…
Towards quantum topological data analysis: torsion detection
Nhat A. Nghiem
Topological data analysis (TDA) has become an attractive area for the application of quantum computing. Recent advances have uncovered many interesting connections between the two…