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On the Quantum Time Complexity of Divide and Conquer by Allcock, Jonathan; Bao, Jinge; Belovs, Aleksandrs; Lee, Troy; Santha, Miklos is a scholarly article available to read on EtoBox.

What is On the Quantum Time Complexity of Divide and Conquer about?

We initiate a systematic study of the time complexity of quantum divide and conquer algorithms for classical problems. We establish generic conditions under which search and minimization problems with classical divide and conquer algorithms are amenable to quantum speedup and apply these theorems to an array of problems involving strings, integers, and geometric objects. They include LONGEST DISTINCT SUBSTRING, KLEE'S COVERAGE, several optimization problems on stock transactions, and k-INCREASING SUBSEQUENCE. For most of these results, our quantum time upper bound matches the quantum query lower bound for the problem, up to polylogarithmic factors.

Author

Allcock, Jonathan; Bao, Jinge; Belovs, Aleksandrs; Lee, Troy; Santha, Miklos

Published

2023

Language

EN