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Emergent Quantum State Designs from Individual Many-Body Wave Functions
Published 2023-01-01“…In particular, we establish that k-designs emerge naturally from generic states in a Hilbert space as well as physical states associated with strongly interacting Hamiltonian dynamics. Our results offer a new approach for studying quantum chaos and provide a practical method for sampling approximately uniformly random states; the latter has wide-ranging applications in quantum information science from tomography to benchmarking.…”
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Measuring Arbitrary Physical Properties in Analog Quantum Simulation
Published 2023-03-01“…Our protocol involves introducing ancillary degrees of freedom in a predetermined state to a system of interest, quenching the joint system under Hamiltonian dynamics native to the particular experimental platform, and then measuring globally in a single, fixed basis. …”
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