Mixed-state entanglement from local randomized measurements
Andreas Elben, Richard Kueng, Hsin-Yuan Huang, Rick van Bijnen,, Christian Kokail, Marcello Dalmonte, Pasquale Calabrese, Barbara Kraus, John, Preskill, Peter Zoller, Beno\^it Vermersch
TL;DR
This paper introduces a practical method for detecting bipartite entanglement in many-body mixed states by estimating moments of the partially transposed density matrix through local randomized measurements and classical shadows, applicable to systems with single-qubit control.
Contribution
It presents a novel entanglement detection protocol using local randomized measurements and classical shadows, enabling analysis of mixed states in many-body quantum systems.
Findings
Method successfully detects bipartite entanglement in experimental data
Requires feasible number of experimental runs for accurate estimation
Applicable to any quantum system with single-qubit control
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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