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Speaker: Dr. Ruben Verresen, Harvard University
Abstract: One of the most remarkable discoveries in the last few decades is that collections of entangled qubits can form states of matter whose topological excitations have anyonic exchange statistics. Despite the importance of such states for quantum information purposes, they are extremely challenging to find in materials. In this talk, we explore how novel 'bottom-up' quantum devices---built atom by atom, qubit by qubit---challenge this status quo. Three promising routes are identified for NISQ devices, which this talk will exemplify with experimental data on cold ions and Rydberg tweezer arrays. In particular, long-range entanglement is built through: topological spin liquid ground states, non-equilibrium quantum dynamics, and shallow circuits with measurements and feedforward. Only the latter is able to avoid deep constraints imposed by locality and unitarity, leading to a surprising connection to the unsolvability of the quintic.