Randomized versus deterministic decision tree size

A Chattopadhyay, Y Dahiya, NS Mande… - Proceedings of the 55th …, 2023 - dl.acm.org
A classic result of Nisan [SICOMP'91] states that the deterministic decision tree* depth*
complexity of every total Boolean function is at most the cube of its randomized decision …

Improved quantum query upper bounds based on classical decision trees

A Cornelissen, NS Mande, S Patro - arxiv preprint arxiv:2203.02968, 2022 - arxiv.org
Given a classical query algorithm as a decision tree, when does there exist a quantum query
algorithm with a speed-up over the classical one? We provide a general construction based …

Exploring Size Complexity and Randomness in the Query Model [HBNI Th245]

Y Dahiya - 2024 - imsc.res.in
A central goal of computer science is to understand the capabilities and limitations of various
computational devices. To understand various computational devices we formalize them …