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On the application of Sylvester's law of inertia to QUBO formulations for systems of linear equations
Sun Woo Park, Kyungtaek Jun
Previous research on quantum annealing methods focused on effectively modeling systems of linear equations by utilizing quadratic unconstrained binary optimization (QUBO) formulati…
On the application of matrix congruence to QUBO formulations for systems of linear equations
Sun Woo Park, Hyunju Lee, Byung Chun Kim +2
Recent studies on quantum computing algorithms focus on excavating features of quantum computers which have potential for contributing to computational model enhancements. Among va…
Global degrees of covering maps between modular curves
Hyun Jong Kim, Sun Woo Park
Given a projective smooth curve over any field , we discuss two notions of global degree of a finite morphism of smooth curves satis…
Average size of Selmer group in large q limit
Sun Woo Park, Niudun Wang
In this paper, we prove a function field-analogue of Poonen-Rains heuristics on the average size of -Selmer group. Let be an elliptic curve defined over . The…