Quantum Fisher information from randomized measurements
| العنوان: | Quantum Fisher information from randomized measurements |
|---|---|
| المؤلفون: | Anna Minguzzi, Cyril Branciard, Benoît Vermersch, Aniket Rath |
| المساهمون: | Laboratoire de physique et modélisation des milieux condensés (LPM2C ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA), Nanophysique et Semiconducteurs (NPSC), Institut Néel (NEEL), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA) |
| بيانات النشر: | HAL CCSD, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | [PHYS]Physics [physics], Quantum Physics, [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph], 0103 physical sciences, FOS: Physical sciences, General Physics and Astronomy, Quantum Physics (quant-ph), 010306 general physics, 01 natural sciences, 010305 fluids & plasmas |
| الوصف: | The quantum Fisher information (QFI) is a fundamental quantity of interest in many areas from quantum metrology to quantum information theory. It can in particular be used as a witness to establish the degree of multi-particle entanglement in quantum many-body-systems. In this work, we use polynomials of the density matrix to construct monotonically increasing lower bounds that converge to the QFI. Using randomized measurements we propose a protocol to accurately estimate these lower bounds in state-of-art quantum technological platforms. We estimate the number of measurements needed to achieve a given accuracy and confidence level in the bounds, and present two examples of applications of the method in quantum systems made of coupled qubits and collective spins. Comment: 7 + 10 pages with 3 + 3 figures. Accepted version with additional analytical expressions for statistical errors of arbitrary order polynomials of the density matrix estimated via classical shadows. Code available at https://github.com/bvermersch/RandomMeas |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5fd405831fd3aacfc6296ad456f52915 https://hal.archives-ouvertes.fr/hal-03357478 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....5fd405831fd3aacfc6296ad456f52915 |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |