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Learn about a novel shadow tomography protocol designed specifically for linear optical quantum systems in this 17-minute conference talk from QTML 2025. Discover how researchers Hugo Thomas, Pierre-Emmanuel Emeriau, and Ulysse Chabaud have adapted the classical shadow framework to enable tomography of number states and their superpositions using only passive linear optical transformations and photon-number resolving detectors. Explore the technical challenges that arise when working with systems that are not tomographically complete yet remain practically relevant due to their experimental accessibility. Understand the sample and time complexity bounds of this approach and examine the class of observables that can be estimated efficiently through the visible space formalism. Gain insights into how useful and scalable shadow tomography remains possible even under the constraints of passive linear optics, potentially opening new avenues for practical applications in photonic quantum computing.
