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Alex B. Grilo

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titleconferencedate
Quantum Learning Algorithms Imply Circuit Lower BoundsLower Bounds, Learning, and Average-Case Complexity2023-02-13
Shows a concrete implication: any quantum learner that beats the two trivial learners (full truth-table queries or the sampling-based 1/2 − 2^{-n/2} advantage)…
Talk on
Quantum Learning Algorithms Imply Circuit Lower BoundsQuantum Wave in Computing Reunion 20212021-07-15
Claim: nontrivial quantum learners for a circuit class C (produce a quantum hypothesis with error 1/2−γ in time roughly γ^2·2^n/n) imply uniform circuit lower…
Talk on
Two combinatorial MA-complete problemsITCS 20212021-01-06
Two new combinatorial problems are shown MA-complete: SetCSP is MA-hard for inverse-polynomial ε, and an implicit-graph problem ACAC is in MA via random-walk…
Talk
Quantum PCPs Meet DerandomizationQuantum Protocols: Testing & Quantum PCPs2020-03-30
Conjecture: a gap-amplifying map from general local Hamiltonians to stochastic uniform Hamiltonians exists if and only if randomized verification class MA…
Talk
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