Mixed-state entanglement from local randomized measurements
Quantum Physics
2020-11-16 v2 Statistical Mechanics
Information Theory
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)].
Cite
@article{arxiv.2007.06305,
title = {Mixed-state entanglement from local randomized measurements},
author = {Andreas Elben and Richard Kueng and Hsin-Yuan Huang and Rick van Bijnen and Christian Kokail and Marcello Dalmonte and Pasquale Calabrese and Barbara Kraus and John Preskill and Peter Zoller and Benoît Vermersch},
journal= {arXiv preprint arXiv:2007.06305},
year = {2020}
}
Comments
5+10 pages, 7 figures