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Three Hamiltonians are Sufficient for Unitary $k$-Design in Temporal Ensemble

Zhou, Yi-Neng et al.
arXiv (All) · Papers
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high-energy-physics-theoryquantum-gasesquantum-physicsstatistical-mechanicsstrongly-correlated-electrons
Unitary $k$-designs are central to quantum information and quantum many-body physics, as they provide efficient proxies for Haar-random dynamics. We study how chaotic Hamiltonian evolution can generate unitary $k$-designs using the frame potential (FP). Unlike standard approaches based on independen
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