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Shadow tomography for quantum states provides a sample efficient approach for predicting the properties of quantum systems when the properties are restricted to expectation values of $2$-outcome POVMs.
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Michael A Nielsen and Isaac Chuang · 2002
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Continuity bounds on the quantum relative entropy
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Koji Tsuda, Gunnar Rätsch, and Manfred K Warmuth · 2005
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Cynthia Dwork, Guy N Rothblum, and Salil Vadhan · 2010
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Recovering low-rank matrices from few coefficients in any basis
David Gross · 2011
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Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimators
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Naum Il’ich Akhiezer and Izrail Markovich Glazman · 2013
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Jonathan Ullman, Adam Smith, Kobbi Nissim, Uri Stemmer, and Thomas Steinke · 2018
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Shadow tomography of quantum states
Scott Aaronson · 2019
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