@article {Elben2020b,
	title = {Many-body topological invariants from randomized measurements in synthetic quantum matter},
	journal = {Science Advances},
	volume = {6},
	year = {2020},
	pages = {eaaz3666},
	publisher = {American Association for the Advancement of Science},
	abstract = {Many-body topological invariants, as quantized highly nonlocal correlators of the many-body wave function, are at the heart of the theoretical description of many-body topological quantum phases, including symmetry-protected and symmetry-enriched topological phases. Here, we propose and analyze a universal toolbox of measurement protocols to reveal many-body topological invariants of phases with global symmetries, which can be implemented in state-of-the-art experiments with synthetic quantum systems, such as Rydberg atoms, trapped ions, and superconducting circuits. The protocol is based on extracting the many-body topological invariants from statistical correlations of randomized measurements, implemented with local random unitary operations followed by site-resolved projective measurements. We illustrate the technique and its application in the context of the complete classification of bosonic symmetry-protected topological phases in one dimension, considering in particular the extended Su-Schrieffer-Heeger spin model, as realized with Rydberg tweezer arrays.},
	issn = {23752548},
	doi = {10.1126/sciadv.aaz3666},
	author = {Elben, Andreas and Yu, Jinlong and Zhu, Guanyu and Hafezi, Mohammad and Pollmann, Frank and Zoller, Peter and Vermersch, Beno{\^\i}t}
}
