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Mixed-state entanglement from local randomized measurements

2020/07/31 by Andreas Elben, Richard Kueng, Hsin-Yuan Huang +8 · 2 citations
Physics and Astronomy · Computer Science · Mathematics · #quant-ph #cond-mat.stat-mech #cs.IT #math.IT

paper · pdf · doi:10.1103/physrevlett.125.200501

published as Phys. Rev. Lett. 125, 200501 (2020) · 5+10 pages, 7 figures

arxiv created 2020/11/13 · arxiv updated 2020/11/16

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)].

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