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Mixed-state entanglement from local randomized measurements (2007.06305v2)
Published 13 Jul 2020 in quant-ph, cond-mat.stat-mech, cs.IT, and math.IT
Abstract: We propose a method for detecting bipartite entanglement in a many-body mixed state based on estimating moments of the partially transposed density matrix. The estimates are obtained by performing local random measurements on the state, followed by post-processing using the classical shadows framework. Our method can be applied to any quantum system with single-qubit control. We provide a detailed analysis of the required number of experimental runs, and demonstrate the protocol using existing experimental data [Brydges et al, Science 364, 260 (2019)].