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This talk from the Quantum Colloquium features Stephen Jordan from Google presenting Decoded Quantum Interferometry (DQI), a quantum algorithm that transforms classical optimization problems into classical decoding problems by leveraging structure in the Fourier spectrum of objective functions. Learn about DQI's application to optimal polynomial intersection problems, where it achieves exponential quantum speedup over known classical algorithms. Explore how DQI reduces max-k-XORSAT to decoding LDPC codes using classical algorithms like belief propagation, and discover instances where DQI outperforms simulated annealing. The presentation also explains how the Yamakawa and Zhandry quantum query complexity speedup can be viewed as a special case of DQI. Following the main presentation, join a panel discussion with John Wright (UC Berkeley), Ronald de Wolf (CWI), and Mark Zhandry (NTT Research/Stanford) that begins at 1:09:36.
