Mixed-state entanglement from local randomized measurements

July 13, 2020 · Declared Dead · 🏛 Physical Review Letters

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Authors Andreas Elben, Richard Kueng, Hsin-Yuan Huang, Rick van Bijnen, Christian Kokail, Marcello Dalmonte, Pasquale Calabrese, Barbara Kraus, John Preskill, Peter Zoller, Benoît Vermersch arXiv ID 2007.06305 Category quant-ph: Quantum Computing Cross-listed cond-mat.stat-mech, cs.IT Citations 225 Venue Physical Review Letters Last Checked 2 months ago
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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