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Procrustes Tomography -- reconstructing noisy quantum channels made easy

Josey Stevens, Reece Robertson, Sebastian Deffner·July 8, 2026
Quantum Physics

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Abstract

What is the most expensive part of quantum device characterization? Clearly, the answer is quantum process tomography. However, especially for noisy intermediate-scale quantum (NISQ) computers, a comprehensive understanding of the noisy quantum dynamics is essential in interpreting the computational output. In this work, we introduce an efficient method -- Procrustes tomography -- that outperforms established methods in a number of aspects. After a pedagogical and constructive introduction, we demonstrate the utility of the method for representative examples of noisy quantum channels.

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