We present a new algorithm for classical simulation of quantum circuits over the Clifford+ T
gate set. The runtime of the algorithm is polynomial in the number of qubits and the number …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

We examine the performance of the single-mode Gottesman-Kitaev-Preskill (GKP) code and
its concatenation with the toric code for a noise model of Gaussian shifts, or displacement …

The recognition of the key role entanglement plays in the understanding of the radical
departure of quantum from classical physics came historically remarkably late. In the early …

Benchmarking methods that can be adapted to multiqubit systems are essential for
assessing the overall or “holistic” performance of nascent quantum processors. The current …

We show that, on a Hilbert space of odd dimension, the only pure states to possess a non-
negative Wigner function are stabilizer states. The Clifford group is identified as the set of …

We clarify the mathematical structure underlying unitary t-designs. These are sets of unitary
matrices, evenly distributed in the sense that the average of any t th order polynomial over …

We give a review on entanglement purification for bipartite and multipartite quantum states,
with the main focus on the theoretical work carried out by our group in the last couple of …

We describe the structure of the extended Clifford group [defined to be the group consisting
of all operators, unitary and antiunitary, which normalize the generalized Pauli group (or …

PyGSTi is a Python software package for assessing and characterizing the performance of
quantum computing processors. It can be used as a standalone application, or as a library …