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/Keywords (quantum computing;information processing;information science;quantum information;quantum information science;neural networks;data mining;computational science;data science;machine learning;quantum algorithms;computers;data analysis;differential equations;computer programming;dimensionality reduction;photonic integrated circuits)
/Subject (Develop quantum algorithms for topological and geometric analysis of data that can supply exponential speed ups over classical methods, even in the absence of qRAM. Develop a set of quantum Basic Linear Algebra Subroutines \(qBLAS\): these will provide the work horses for constructing quantum machine learning algorithms that provide exponential speed up for classical devices when qRAM is available. Work with experimentalists to design and realize large-scale qRAM. Develop quantum machine learning techniques for the analysis of quantum data that are exponentially more efficient than semi-classical methods for data analysis and tomography. Develop a theory of universal deep quantum learning, and of deep quantum learning on tunable integrated photonic circuits.)
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