10 citations · 20 across the 15 of their papers we have counts for
17 papers
Towards Optimal Routing Strategies for qLDPC codes on Silicon Spin Qubits
Merlin Incerti-Medici, Minh T. P. Nguyen, Stefano Bosco +2
One of the major challenges of implementing high-rate quantum error correction codes, like qLDPC codes, is realizing the required long-range interactions. Spin qubit platforms can…
How fast can a parent estimate the value of their children? A quantum algorithm for stochastic games
Marien Raat, Merlin Incerti-Medici, James R. Wootton +2
We give a quantum algorithm for stochastic -player games. Their game trees are the expectiminimax trees of classical game search: adversarial layers alternate with chanc…
The entropy of Gromov-Thurston manifolds and branched coverings
Nicola Cavallucci, Merlin Incerti-Medici
We develop a general theory for the dynamics of the geodesic flow of locally CAT(k) branched coverings and we show that it does not depend on the specific covering but only on the…
Quantum circuit design via dynamic Pauli constraints
James R. Wootton, Merlin Incerti-Medici, Daniel Bultrini +1
We introduce the Motte model, a software-oriented model of quantum computation motivated by the practical constraints of near-term quantum hardware. In this model, gates are specif…
The fundamentals of cubical isometry groups
Merlin Incerti-Medici
We develop the fundamental theory to study cubical isometry groups as totally disconnected, locally compact groups. We show how cubical isometries are determined by their local act…
On a generalization of Cannon's conjecture for cubulated hyperbolic groups
Corey Bregman, Merlin Incerti-Medici
We show that cubulated hyperbolic groups with spherical boundary of dimension 3 or at least 5 are virtually fundamental groups of closed, orientable, aspherical manifolds, provided…
Automorphism groups of cocompact CAT(0) cube complexes and simplicity
Tobias Hartnick, Merlin Incerti-Medici
We provide a systematic description of the automorphism groups of specially cocompact CAT(0) cube complexes. We show that these groups are topologically finitely generated, present…
Automorphisms of self-similar trees
Tobias Hartnick, Merlin Incerti-Medici
We explicitly determine the automorphism groups of all self-similar trees (a.k.a. trees with finitely many cone types). We show that any such automorphism group is a direct limit o…
Hyperbolic projections and topological invariance of sublinearly Morse boundaries
Carolyn Abbott, Merlin Incerti-Medici
We show that the sublinearly Morse boundary of a CAT(0) cubical group with a factor system is well-defined up to homeomorphism with respect to the visual topology. The key tool use…
The normal growth exponent of a codimension-1 hypersurface of a negatively curved manifold
Corey Bregman, Merlin Incerti-Medici
Let be a Hadamard manifold with pinched negative curvature . Suppose is a totally geodesic, codimension-1 submanifold and consider the geodesic…
Contractibility of boundaries of cocompact convex sets and embeddings of limit sets
Corey Bregman, Merlin Incerti-Medici
We provide sufficient conditions as to when a boundary component of a cocompact convex set in a CAT(0)-space is contractible. We then use this to study when the limit set of a quas…
Sublinearly Morse boundaries from the viewpoint of combinatorics
Merlin Incerti-Medici, Abdul Zalloum
We prove that the sublinearly Morse boundary of every known cubulated group continuously injects in the Gromov boundary of a certain hyperbolic graph. We also show that for all CAT…
Circumcenter extension maps for non-positively curved spaces
Merlin Incerti-Medici
We show that every cross ratio preserving homeomorphism between boundaries of Hadamard manifolds extends to a continuous map, called circumcenter extension, provided that the manif…
Comparing topologies on the Morse boundary and quasi-isometry invariance
Merlin Incerti-Medici
We compare several topologies on the Morse boundary of a cube complex . In particular, we show that the two topologies introduced by Cashen and…
cube complexes are determined by their boundary cross ratio
Jonas Beyrer, Elia Fioravanti, Merlin Incerti-Medici
We introduce a -valued cross ratio on Roller boundaries of cube complexes. We motivate its relevance by showing that every cross-ratio preserving bijecti…
The Hausdorff- and Nagata-dimension of Möbius spaces
Merlin Incerti-Medici
We study cross ratios from an axiomatic viewpoint and show that a space equipped with a cross ratios carries several notions of dimension. Specifically, we introduce notions of Hau…
Möbius structures, quasi-metrics, and completeness
Merlin Incerti-Medici
We study cross ratios from an axiomatic viewpoint, also known as the study of Möbius spaces. We characterise cross ratios induced by quasi-metrics in terms of topological propertie…