6 papers
Random Quantum Circuits as Seeds for Continuous Generative Models
Olli Hirviniemi, Afrad Basheer, Thomas Cope
We introduce a random circuit family and show they are robust against current classical simulation techniques, specifically tensor network contraction and Pauli propagation. We als…
A scalable quantum-enhanced greedy algorithm for maximum independent set problems
Elisabeth Wybo, Jami Rönkkö, Olli Hirviniemi +2
We investigate a hybrid quantum-classical algorithm for solving the Maximum Independent Set (MIS) problem on regular graphs, combining the Quantum Approximate Optimization Algorith…
Sharp Pointwise Contraction of Mappings with Integrable Distortion Which Are Quasiconformal in a Disk
Olli Hirviniemi, Lauri Hitruhin
We consider quasiconformal mappings of the unit disk that have a planar extension which have -integrable distortion. In this paper, we establish a bound for the modulus of conti…
On mappings of finite distortion that are quasiconformal in the unit disk
Olli Hirviniemi, Lauri Hitruhin, István Prause +1
We study quasiconformal mappings of the unit disk that have planar extension with controlled distortion. For these mappings we prove a bound for the modulus of continuity of the in…
Stretching and Rotation of Planar Quasiconformal Mappings on a Line
Olli Hirviniemi, István Prause, Eero Saksman
In this article, we examine stretching and rotation of planar quasiconformal mappings on a line. We show that for almost every point on the line, the set of complex stretching expo…
Localized Regularity of Planar Maps of Finite Distortion
Olli Hirviniemi, István Prause, Eero Saksman
In this article we study fine regularity properties for mappings of finite distortion. Our main theorems yield strongly localized regularity results in the borderline case in the c…