4 papers
Stabilizer operators and Barnes-Wall lattices
Vadym Kliuchnikov, Sebastian Schönnenbeck
We give a simple description of rectangular matrices that can be implemented by a post-selected stabilizer circuit. Given a matrix with entries in dyadic cyclotomic number fields $…
Multi-qubit circuit synthesis and Hermitian lattices
Vadym Kliuchnikov, Sebastian Schönnenbeck
We present new optimal and heuristic algorithms for exact synthesis of multi-qubit unitaries and isometries. For example, our algorithms find Clifford and T circuits for unitaries…
Automorphic Forms on Feit's Hermitian Lattices
Neil Dummigan, Sebastian Schönnenbeck
We consider the genus of classes of unimodular Hermitian lattices of rank over the Eisenstein integers. This set is the domain for a certain space of algebraic modular fo…
Computing -unit groups of orders
Sebastian Schönnenbeck
Based on the general strategy described by Borel and Serre and the Voronoi algorithm for computing unit groups of orders we present an algorithm for finding presentations of -un…