Efficient error estimates for the Trotter product formula are central in quantum computing,
mathematical physics, and numerical simulations. However, the Trotter error's dependency …

In this paper we study the Clifford+ Toffoli universal fault-tolerant gate set. We introduce a
generating set in order to represent any unitary implementable by this gate set and with this …

We provide practical simulation methods for scalar field theories on a quantum computer
that yield improved asymptotics as well as concrete gate estimates for the simulation and …

Quantum symmetrization is the task of transforming a non-strictly increasing list of $ n $
integers into an equal superposition of all permutations of the list (or more generally …

Quantum algorithms claim significant speedup over their classical counterparts for solving
many problems. An important aspect of many of these algorithms is the existence of a …

When one considers quantum computation, one typically thinks about unitary evolution
acting on a system of two-level qubit systems. All the proposed fault-tolerant quantum …