4 papers
Quantum Mechanics on Non-Hausdorff One-Manifolds with Finite Graph Resolutions: Analytic Completion, Branching, and Invariant-Sector Scattering
Abhiram Sripat
We develop a systematic framework for quantum mechanics on a finite graph-resolved class of second-countable, T1, non-Hausdorff one-manifolds. The central problem is that local dif…
Non-Hausdorff Incidence Completions of Finite Coverings: Monodromy, Transport, and Defect Posets
Abhiram Sripat
Let X be a connected Hausdorff surface, let Sigma be a finite subset of X, and let pi from Y to X minus Sigma be a finite sheeted covering. Peripheral monodromy at each marked poin…
Quantum Algorithms for Optimizing Mycorrhizal Inoculants Using Mycoponics: A Novel Framework for Nutrient Transfer and Protein Discovery in Precision Agriculture
Abhiram Sripat
Mycorrhizal fungi form vast subterranean networks that are critical for plant nutrient uptake, carbon sequestration, and ecosystem resilience. Despite their ecological importance,…
Quantum Approximate Optimization Algorithm and Quantum-enhanced Markov Chain Monte Carlo: A Hybrid Approach to Data Assimilation in 4DVAR
Abhiram Sripat
We propose a novel hybrid quantum-classical framework that integrates the Quantum Approximate Optimization Algorithm (QAOA) and Quantum-enhanced Markov Chain Monte Carlo (QMCMC) wi…