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Quantum Simulation

Estimation of high-dimensional unitary transformations saturating the Quantum Cramér-Rao bound

arXiv

Authors: J. Escandón-Monardes, D. Uzcátegui, M. Rivera-Tapia, S. P. Walborn, A. Delgado

Year

2023

Paper ID

53642

Status

Preprint

Abstract Read

~2 min

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Abstract

We propose an estimation procedure for d-dimensional unitary transformations. For d>2, the unitary transformations close to the identity are estimated saturating the quantum Cramér-Rao bound. For d=2, the estimation of all unitary transformations is also optimal with some prior information. We show through numerical simulations that, even in the absence of prior information, two-dimensional unitary transformations can be estimated with greater precision than by means of standard quantum process tomography.

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We propose an estimation procedure for d-dimensional unitary transformations.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2310.12699 [2] arXiv https://arxiv.org/abs/2310.12699 [3] Publisher https://arxiv.org/abs/2310.12699

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