Measuring quantum entanglement, machine learning and wave function tomography

There is an enormous amount of information that can be extracted from thedata of a quantum gas microscope that has yet to be fully explored. The quantumgas microscope has been used to directly measure magnetic order, dynamiccorrelations, Pauli blocking, and many other physical phenomena in severalrecent groundbreaking experiments. However, the analysis of the data from aquantum gas microscope can be pushed much further, and when used in conjunctionwith theoretical constructs it is possible to measure virtually any observableof interest in a wide range of systems. We focus on how to measure quantumentanglement in large interacting quantum systems. In particular, we show thatquantum gas microscopes can be used to measure the entanglement of interactingboson systems exactly, where previously it had been thought this was onlypossible for non-interacting systems. We consider algorithms…


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