Measuring Rényi entropy using a projected Loschmidt echo
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911438842363904 |
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| author | Zhou, Yi-Neng Löwenberg, Robin Sonner, Julian |
| author_facet | Zhou, Yi-Neng Löwenberg, Robin Sonner, Julian |
| contents | We present efficient and practical protocols to measure the second Rényi entropy (RE), whose exponential is known as the purity. We achieve this by establishing a direct connection to a Loschmidt echo (LE) type measurement sequence, applicable to quantum many-body systems. Notably, our approach does not rely on random-noise averaging, a feature that can be extended to protocols to measure out-of-time-order correlation functions (OTOCs), as we demonstrate. By way of example, we show that our protocols can be practically implemented in superconducting qubit-based platforms, as well as in cavity-QED trapped ultra-cold gases. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_05237 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Measuring Rényi entropy using a projected Loschmidt echo Zhou, Yi-Neng Löwenberg, Robin Sonner, Julian Quantum Physics Quantum Gases Statistical Mechanics High Energy Physics - Theory We present efficient and practical protocols to measure the second Rényi entropy (RE), whose exponential is known as the purity. We achieve this by establishing a direct connection to a Loschmidt echo (LE) type measurement sequence, applicable to quantum many-body systems. Notably, our approach does not rely on random-noise averaging, a feature that can be extended to protocols to measure out-of-time-order correlation functions (OTOCs), as we demonstrate. By way of example, we show that our protocols can be practically implemented in superconducting qubit-based platforms, as well as in cavity-QED trapped ultra-cold gases. |
| title | Measuring Rényi entropy using a projected Loschmidt echo |
| topic | Quantum Physics Quantum Gases Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.05237 |