3 papers
quant-ph2025
Random unitaries from Hamiltonian dynamics
Laura Cui, Thomas Schuster, Liang Mao +2
The nature of randomness and complexity growth in systems governed by unitary dynamics is a fundamental question in quantum many-body physics. This problem has motivated the study…
quant-ph2025
Strong random unitaries and fast scrambling
Thomas Schuster, Fermi Ma, Alex Lombardi +2
Understanding how fast physical systems can resemble Haar-random unitaries is a fundamental question in physics. Many experiments of interest in quantum gravity and many-body physi…
quant-ph2025
Unitary designs in nearly optimal depth
Laura Cui, Thomas Schuster, Fernando Brandao +1
We construct -approximate unitary -designs on qubits in circuit depth . The depth is exponentially improved over all know…