3 papers
quant-ph2025
Random unitaries that conserve energy
Liang Mao, Laura Cui, Thomas Schuster +1
Random unitaries sampled from the Haar measure serve as fundamental models for generic quantum many-body dynamics. Under standard cryptographic assumptions, recent works have const…
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
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…