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Quantum lower bounds by quantum arguments

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cs.CC 1

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2025 1

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CONDITIONAL 1

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Complexity of learning matchings and half graphs via edge queries

cs.CC · 2025-07-03 · conditional · novelty 6.0

Tight edge-query bounds are proven for learning matchings (deterministic n(n-1)/2, randomized Θ(n^2)) and half graphs (Θ(n log n) classically for column-permuted, Θ(n log n) quantum in general), with half-graph learning reduced to sorting problems.

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  • Complexity of learning matchings and half graphs via edge queries cs.CC · 2025-07-03 · conditional · none · ref 8

    Tight edge-query bounds are proven for learning matchings (deterministic n(n-1)/2, randomized Θ(n^2)) and half graphs (Θ(n log n) classically for column-permuted, Θ(n log n) quantum in general), with half-graph learning reduced to sorting problems.