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Electronic Colloquium on Computational Complexity

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All reports by Author Nadezhda Voronova:

TR23-189 | 28th November 2023
John Kallaugher, Ojas Parekh, Nadezhda Voronova

Exponential Quantum Space Advantage for Approximating Maximum Directed Cut in the Streaming Model

While the search for quantum advantage typically focuses on speedups in execution time, quantum algorithms also offer the potential for advantage in space complexity. Previous work has shown such advantages for data stream problems, in which elements arrive and must be processed sequentially without random access, but these have been ... more >>>

TR23-024 | 9th March 2023
Mark Bun, Nadezhda Voronova

Approximate degree lower bounds for oracle identification problems

Revisions: 1

The approximate degree of a Boolean function is the minimum degree of real polynomial that approximates it pointwise. For any Boolean function, its approximate degree serves as a lower bound on its quantum query complexity, and generically lifts to a quantum communication lower bound for a related function.

We ... more >>>

ISSN 1433-8092 | Imprint