activity
20002024
most citedAnalyzing the quantum approximate optimization algorithm: ansätze, symmetries, and Lie algebras

7 citations · 17 across the 18 of their papers we have counts for

collaborators

23 papers

math.RT2024

The Tits construction for short -super-structures

Gonzalo Gutierrez, Marco Farinati

In this paper, we generalize the Tits construction for Lie superalgebras such that acts by even derivations and decompose, as -module, into a dir…

quant-ph2024★ 7 cited

Analyzing the quantum approximate optimization algorithm: ansätze, symmetries, and Lie algebras

Sujay Kazi, Martín Larocca, Marco Farinati +3

The Quantum Approximate Optimization Algorithm (QAOA) has been proposed as a method to obtain approximate solutions for combinatorial optimization tasks. In this work, we study the…

math.AT2024

Biracks: a notational proposal and applications

Marco A. Farinati

I propose a notation for biracks that includes from the begining the knowledege of the associated (or underlying, or derived) rack structure. Motivated by results of Rump in the in…

math.QA2023

BV Algebras with Applications to Lie Bialgebras and Poisson Cohomology

Marco A. Farinati, A. Patricia Jancsa

By using algebraic tools from differential Gerstenhaber algebras and Batalin-Vilkobisky algebras, we provide a new perspective on the modular class in Poisson geometry and the intr…

math.QA2022

Universal quantum (semi)groups and Hopf envelopes: Erratum

Marco Farinati

In \cite{F} there is a statement generalizing the results in \cite{FG}. Unfortunately there is a mistake in a computation that affects the main result. I don't know if the main res…

math.QA2020

Universal quantum (semi)groups and Hopf envelopes

Marco Farinati

We prove that, in case = the FRT construction of a braided vector space admits a weakly Frobenius algebra (e.g. if the braiding is rigid and its Nichol…