Unitary $n$-designs via random quenches in atomic Hubbard and Spin models: Application to the measurement of R\'enyi entropies
| Autor: | Vermersch, B., Elben, A., Dalmonte, M., Cirac, J. I., Zoller, P. |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 97, 023604, 2018 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.97.023604 |
| Popis: | We present a general framework for the generation of random unitaries based on random quenches in atomic Hubbard and spin models, forming approximate unitary $n$-designs, and their application to the measurement of R\'enyi entropies. We generalize our protocol presented in [Elben2017: arXiv:1709.05060, to appear in Phys. Rev. Lett.] to a broad class of atomic and spin lattice models. We further present an in-depth numerical and analytical study of experimental imperfections, including the effect of decoherence and statistical errors, and discuss connections of our approach with many-body quantum chaos. Comment: This is a new and extended version of the Supplementary material presented in arXiv:1709.05060v1, rewritten as a companion paper. Version accepted to Phys. Rev. A. Minus sign corrected in Eq (5) |
| Databáze: | arXiv |
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