A stochastic calculus approach to the oracle separation of BQP and PH
Xinyu Wu
TL;DR
This paper introduces a simplified proof of the oracle separation between BQP and PH using stochastic calculus, streamlining previous complex arguments.
Contribution
It provides a novel, simplified stochastic calculus-based approach to demonstrate the oracle separation of BQP and PH.
Findings
Simplified proof of oracle separation using stochastic calculus
Clarification of the relationship between BQP and PH
Potential for broader applications of stochastic calculus in complexity theory
Abstract
After presentations of Raz and Tal's oracle separation of BQP and PH result, several people (e.g. Ryan O'Donnell, James Lee, Avishay Tal) suggested that the proof may be simplified by stochastic calculus. In this short note, we describe such a simplification.
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Taxonomy
TopicsAdvanced Database Systems and Queries