Thomas Schuster

The advantage of quantum control in many-body Hamiltonian learning

2023 · arXiv (Cornell University)

We study the problem of learning the Hamiltonian of a many-body quantum system from experimental data. We show that the rate of learning depends on the amount of control available during the experiment. We consider …

Unitary designs in nearly optimal depth

2025 · arXiv (Cornell University)

We construct $\varepsilon$-approximate unitary $k$-designs on $n$ qubits in circuit depth $O(\log k \log \log n k / \varepsilon)$. The depth is exponentially improved over all known results in all three parameters $n$, $k$, $\varepsilon$. …