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arxiv: 1806.05747 · v2 · submitted 2018-06-14 · 🪐 quant-ph · cond-mat.dis-nn· cond-mat.quant-gas

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Probing entanglement entropy via randomized measurements

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classification 🪐 quant-ph cond-mat.dis-nncond-mat.quant-gas
keywords quantumentanglemententropylaboratorymeasurementsmeasuringprobeprobing
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Entanglement is the key feature of many-body quantum systems, and the development of new tools to probe it in the laboratory is an outstanding challenge. Measuring the entropy of different partitions of a quantum system provides a way to probe its entanglement structure. Here, we present and experimentally demonstrate a new protocol for measuring entropy, based on statistical correlations between randomized measurements. Our experiments, carried out with a trapped-ion quantum simulator, prove the overall coherent character of the system dynamics and reveal the growth of entanglement between its parts - both in the absence and presence of disorder. Our protocol represents a universal tool for probing and characterizing engineered quantum systems in the laboratory, applicable to arbitrary quantum states of up to several tens of qubits.

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