Gradient-descent methods for scalable quantum detector tomography

Fuente: arXiv
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Main Authors: Anteneh, Amanuel, Pfister, Olivier
Format: Preprint
Published: 2025
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author Anteneh, Amanuel
Pfister, Olivier
author_facet Anteneh, Amanuel
Pfister, Olivier
contents We present a technique for performing quantum detector tomography (QDT) of phase insensitive quantum detectors, a category under which many detectors of interest fall under, using gradient descent-based optimization to learn the positive operator-valued measure (POVM) that best describes the data collected using the detector under study. We numerically benchmark our method against constrained convex optimization (CCO) and show that it reaches higher or comparable reconstruction fidelity in much less time even in the presence of noise and limited probe state resources. We also present a possible extension of our approach to the phase sensitive case via a parametrization of POVMs on the complex Stiefel manifold which enables gradient based optimization restricted to this manifold.
format Preprint
id arxiv_https___arxiv_org_abs_2511_14579
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gradient-descent methods for scalable quantum detector tomography
Anteneh, Amanuel
Pfister, Olivier
Quantum Physics
We present a technique for performing quantum detector tomography (QDT) of phase insensitive quantum detectors, a category under which many detectors of interest fall under, using gradient descent-based optimization to learn the positive operator-valued measure (POVM) that best describes the data collected using the detector under study. We numerically benchmark our method against constrained convex optimization (CCO) and show that it reaches higher or comparable reconstruction fidelity in much less time even in the presence of noise and limited probe state resources. We also present a possible extension of our approach to the phase sensitive case via a parametrization of POVMs on the complex Stiefel manifold which enables gradient based optimization restricted to this manifold.
title Gradient-descent methods for scalable quantum detector tomography
topic Quantum Physics
url https://arxiv.org/abs/2511.14579