# Many-body topological invariants from randomized measurements in synthetic quantum matter

### Citation:

Andreas Elben, Jinlong Yu, Guanyu Zhu, Mohammad Hafezi, Frank Pollmann, Peter Zoller, and Benoît Vermersch. 2020. “Many-body topological invariants from randomized measurements in synthetic quantum matter.” Science Advances, 6, Pp. eaaz3666.

### 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.

# Disentangling quantum matter with measurements

### Citation:

Daniel Ben-Zion, John McGreevy, and Tarun Grover. 2020. “Disentangling quantum matter with measurements.” Phys. Rev. B, 101, Pp. 115131.

# More Exotic Field Theories in 3+1 Dimensions

### Citation:

Pranay Gorantla, Ho Tat Lam, Nathan Seiberg, and Shu-Heng Shao. 2020. “More Exotic Field Theories in 3+1 Dimensions.” arXiv:2007.04904.

# Analyticity of replica correlators and ETH

### Abstract:

We study the two point correlation function of a local operator on an $$n$$-sheeted replica manifold corresponding to the half-space in the vacuum state of a conformal field theory. We calculate the Renyi transform in $$2d$$ conformal field theories, and use it to extract the off-diagonal elements of (modular) ETH.
Last updated on 07/09/2021
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