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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…
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…