Boris Tsvelikhovskiy

collaborators

3 papers

quant-ph2025

Provable avoidance of barren plateaus for the Quantum Approximate Optimization Algorithm with Grover mixers

Boris Tsvelikhovskiy, Matthew Nuyten, Bojko N. Bakalov

We analyze the dynamical Lie algebras (DLAs) associated with the Grover-mixer variant of the Quantum Approximate Optimization Algorithm (GM-QAOA). When the initial state is the uni…

math.AG2025

On a Dichotomy for Skyscraper Sheaves under the Bridgeland-King-Reid Equivalence

Boris Tsvelikhovskiy

Let $G \subset S L_{3} (C)$ be a finite abelian subgroup, and let $Y = G - Hilb (C^{3})$ be the corresponding $G$ -Hilbert scheme. Denote by $Ψ: D^b…

math.RT2022

The universe inside Hall algebras of coherent sheaves on toric resolutions

Boris Tsvelikhovskiy

Let $g \neq = so_{8}$ be a simple Lie algebra of type $A, D, E$ with $g$ the corresponding affine Kac-Moody algebra and $\mathfrak{n}_-\subset \…