7 papers
Preservation of Positive-Definiteness by Bernstein Operators on the Circle
Matthew Otten, Nam Nguyen, Thomas Watts
We prove that, for every , the degree- Bernstein operator on preserves positive-definiteness on the circle . Equivalently, if a continuous function on $[0,π]…
Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis
Long Nguyen-Chi, Nam Nguyen, Binh Nguyen
Quadratic regularization has emerged as a potential alternative to the popular entropic regularization in computational optimal transport, offering the theoretical advantage of pro…
Dissipative continuation for ground-state preparation at chemical transition states
Thomas W. Watts, Soumya Sarkar, Daniel Collins +4
Simulating chemical reactions exhibits a pronounced unevenness in computational difficulty: while equilibrium reactant and product geometries are often tractable, transition-state…
Existence of a robust optimal control process for efficient measurements in a two-qubit system
Ricardo Rodriguez, Nam Nguyen, Elizabeth Behrman +2
The verification of quantum entanglement is essential for quality control in quantum communication. In this work, we propose an efficient protocol to directly verify the two-qubit…
End-to-End Complexity Analysis for Quantum Simulation of the Extended Jaynes-Cummings Models
Nam Nguyen, Michael Yu, Alan Robertson +3
The extended Jaynes-Cummings model (eJCM) is a foundational framework for describing multi-mode light-matter interactions, with direct applications in quantum technologies such as…
QB Ground State Energy Estimation Benchmark
Nicole Bellonzi, Joshua T. Cantin, Mohammad Reza Jangrouei +14
Ground State Energy Estimation (GSEE) is a central problem in quantum chemistry and condensed matter physics, demanding efficient algorithms to solve complex electronic structure c…