Enhanced measurements on quantum computers via the simultaneous probing of non-commuting Pauli operators

Fuente: arXiv
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Bibliographic Details
Main Authors: Simon, Rick P. A., Shi, Zheng, Nation, Charlie, Jena, Andrew, Dellantonio, Luca
Format: Preprint
Published: 2025
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author Simon, Rick P. A.
Shi, Zheng
Nation, Charlie
Jena, Andrew
Dellantonio, Luca
author_facet Simon, Rick P. A.
Shi, Zheng
Nation, Charlie
Jena, Andrew
Dellantonio, Luca
contents Measuring the state of quantum computers is a highly non-trivial task, with implications for virtually all quantum algorithms. We propose a novel scheme where identical copies of a quantum state are measured jointly so that all Pauli operators within the considered observable can be simultaneously assessed. We use Bayesian statistics to accurately estimate the average and error, and develop an adaptive shot-allocation algorithm that preferentially samples the most uncertain Pauli terms. In regimes with many non-commuting Pauli operators, our ``double'' scheme can outperform the state-of-the-art measurement protocol in minimizing total shots for a given precision.
format Preprint
id arxiv_https___arxiv_org_abs_2509_01482
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Enhanced measurements on quantum computers via the simultaneous probing of non-commuting Pauli operators
Simon, Rick P. A.
Shi, Zheng
Nation, Charlie
Jena, Andrew
Dellantonio, Luca
Quantum Physics
Measuring the state of quantum computers is a highly non-trivial task, with implications for virtually all quantum algorithms. We propose a novel scheme where identical copies of a quantum state are measured jointly so that all Pauli operators within the considered observable can be simultaneously assessed. We use Bayesian statistics to accurately estimate the average and error, and develop an adaptive shot-allocation algorithm that preferentially samples the most uncertain Pauli terms. In regimes with many non-commuting Pauli operators, our ``double'' scheme can outperform the state-of-the-art measurement protocol in minimizing total shots for a given precision.
title Enhanced measurements on quantum computers via the simultaneous probing of non-commuting Pauli operators
topic Quantum Physics
url https://arxiv.org/abs/2509.01482