10 papers
Conditional dependence and Scrooge ensembles in shallow random quantum circuits
Yinchen Liu, Max McGinley, Thomas Schuster +1
The output state of a 2D geometrically local shallow random quantum circuit does not have long range correlations due to its lightcone structure. But this changes if one measures a…
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…
Quantum computation of molecular geometry via many-body nuclear spin echoes
C. Zhang, R. G. Cortiñas, A. H. Karamlou +320
Quantum-information-inspired experiments in nuclear magnetic resonance spectroscopy may yield a pathway towards determining molecular structure and properties that are otherwise ch…
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…
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…