4 citations · 5 across the 10 of their papers we have counts for
8 papers · 1 filter
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…
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…
Constructive interference at the edge of quantum ergodic dynamics
Dmitry A. Abanin, Rajeev Acharya, Laleh Aghababaie-Beni +262
Quantum observables in the form of few-point correlators are the key to characterizing the dynamics of quantum many-body systems. In dynamics with fast entanglement generation, qua…
Will it glue? On short-depth designs beyond the unitary group
Lorenzo Grevink, Jonas Haferkamp, Markus Heinrich +4
We study the formation of short-depth designs beyond the unitary group. We provide a range of results on several groups of broad interest in quantum information science: the Cliffo…