3 papers
quant-ph2026
The generalised semi-Clifford conjecture is false
Nadish de Silva, Oscar Lautsch
The Clifford hierarchy is a nested sequence of sets of quantum gates that can be fault-tolerantly performed using gate teleportation within standard quantum error correction scheme…
quant-ph2025
The Clifford hierarchy for one qubit or qudit
Nadish de Silva, Oscar Lautsch
The Clifford hierarchy is a nested sequence of sets of quantum gates that can be fault-tolerantly performed using gate teleportation within standard quantum error correction scheme…
math.AG2022
Toric Degenerations of Low Degree Hypersurfaces
Nathan Ilten, Oscar Lautsch
We show that a sufficiently general hypersurface of degree in -dimensional projective space admits a toric Gröbner degeneration if and only if .