Zoltán Zimborás

Universality verification for a set of quantum gates

2022 · Physical Review A

We establish a relationship between the notion of universal quantum gates and the notion of unitary $t$-designs. We show that a set of qudit gates $\mathcal{S}\ensuremath{\subset}U(d)$ is universal if and only if $\mathcal{S}$ forms a …

Bonsai Algorithm: Grow Your Own Fermion-to-Qubit Mappings

2022 · arXiv (Cornell University)

Fermion-to-qubit mappings are used to represent fermionic modes on quantum computers, an essential first step in many quantum algorithms for electronic structure calculations. In this work, we present a formalism to design flexible fermion-to-qubit mappings …