A randomized measurement toolbox for an interacting Rydberg-atom quantum simulator

Abstract

We present a toolbox to probe quantum many-body states implemented on Rydberg-atoms quantum hardware via randomized measurements. We illustrate the efficacy of this measurement toolbox in the context of probing entanglement, via the estimation of the purity, and of verifying a ground-state preparation using measurements of the Hamiltonian variance. To achieve this goal, we develop and discuss in detail a protocol to realize independent, local unitary rotations. We benchmark the protocol by investigating the ground state of the one-dimensional SSH model, recently realized on a chain of Rydberg atom, and the state resulting after a sudden quench in a staggered XY chain. We probe the robustness of our toolbox by taking into account experimental imperfections, such as pulse fluctuations and measurement errors.

10 pages, 8 figures

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• Enhancing a Many-body Dipolar Rydberg Tweezer Array with Arbitrary Local Controls
• Demonstration of Robust and Efficient Quantum Property Learning with Shallow Shadows
• Generation of scalable many-body Bell correlations in spin chains with short-range two-body interactions
• Accelerating quantum imaginary-time evolution with random measurements
• Universal quantum processors in spin systems via robust local pulse sequences
• Finite-temperature Rydberg arrays: quantum phases and entanglement characterization
• Real randomized measurements for analyzing properties of quantum states
• Local measurement strategies for multipartite entanglement quantification
• Holographic Classical Shadow Tomography
• Optimal sampling of tensor networks targeting wave function's fast decaying tails
• Qubit frugal entanglement determination with the deep multi-scale entanglement renormalization ansatz