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Presented By: Probability and Analysis Seminar - Department of Mathematics

Probability and Analysis Seminar: Quantum Remez inequality for fast query learning of d-local Hamiltonians

Alexander Volberg (Michigan State University)

How to learn a 2^n times 2^n matrix by asking approximately log n questions? Of course there is no way. But if we know the matrix is a d-local Hamiltonian, then this becomes possible by a recent result of Lars Becker, Joe Slote, Ohad Klein, myself, and Haonan Zhang. The result is a certain dimension-free discrete Remez inequality. Its proof is probabilistic.

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