A randomized measurement toolbox for an interacting Rydberg-atom quantum simulator
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866909127451607040 |
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| author | Notarnicola, Simone Elben, Andreas Lahaye, Thierry Browaeys, Antoine Montangero, Simone Vermersch, Benoit |
| author_facet | Notarnicola, Simone Elben, Andreas Lahaye, Thierry Browaeys, Antoine Montangero, Simone Vermersch, Benoit |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_11046 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A randomized measurement toolbox for an interacting Rydberg-atom quantum simulator Notarnicola, Simone Elben, Andreas Lahaye, Thierry Browaeys, Antoine Montangero, Simone Vermersch, Benoit Quantum Physics Quantum Gases Statistical Mechanics Atomic Physics Computational Physics 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. |
| title | A randomized measurement toolbox for an interacting Rydberg-atom quantum simulator |
| topic | Quantum Physics Quantum Gases Statistical Mechanics Atomic Physics Computational Physics |
| url | https://arxiv.org/abs/2112.11046 |