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Experimental Demonstration of Self-Guided Quantum Tomography

Robust, accurate and efficient quantum tomography is key for future quantum technologies. Traditional methods are impractical for even medium sized systems and are not robust against noise and errors. Here we report on an experimental demonstration of self-guided quantum tomography; an autonomous, fast, robust and precise technique for measuring quantum states with significantly less computational resources than standard techniques. The quantum state is iteratively learned by treating tomography as a projection measurement optimization problem. We experimentally demonstrate robustness against both statistical noise and experimental errors on both single qubit and entangled two-qubit states. Our demonstration provides a method of full quantum state characterization in current and near-future experiments where standard techniques are unfeasible.