1 citations · 1 across the 6 of their papers we have counts for
6 papers
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…
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…
Hardness of recognizing phases of matter
Thomas Schuster, Dominik Kufel, Norman Y. Yao +1
We prove that recognizing the phase of matter of an unknown quantum state is quantum computationally hard. More specifically, we show that the quantum computational time of any pha…
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…
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…
Predicting quantum channels over general product distributions
Sitan Chen, Jaume de Dios Pont, Jun-Ting Hsieh +3
We investigate the problem of predicting the output behavior of unknown quantum channels. Given query access to an -qubit channel and an observable , we aim to learn the…