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arXiv · 2105.13164

Quantum Fisher information from randomized measurements

Aniket Rath·Cyril Branciard·Anna Minguzzi·Benoît Vermersch
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Abstract

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.

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Aniket Rath, Cyril Branciard, Anna Minguzzi, Benoît Vermersch. 2021-05-27. Quantum Fisher information from randomized measurements. https://doi.org/10.1103/physrevlett.127.260501

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