Portfolio
Projects
A collection of my research papers, technical projects, and academic contributions in quantum computing and optimization.
October 2024
Monogamy of Entanglement Bounds and Improved Approximation Algorithms for Qudit Hamiltonians
This work establishes new entanglement monogamy bounds for two-local qudit Hamiltonians and certifies ground state energy using sum-of-squares proofs. A simple matching-based …
Research
September 2023
Approximation Algorithms for Quantum Max-d-Cut
The Quantum Max-d-Cut problem seeks quantum states maximizing antisymmetric subspace energy in d-dimensional systems, generalizing Max-d-Cut. The authors provide a polynomial-time …
Research
June 2022
Quantifying Gerrymandering with Simulated Annealing
This work applies Markov Chain Monte Carlo with Simulated Annealing to detect gerrymandering, showing it effectively generates representative voting distributions. Results on Texas …
Research