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Subhasree Patro

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Preprint Nov 2026

Breaking the quantum barriers for Graph Collision

In the graph collision problem, the task is to decide whether a known graph on $n$ vertices contains an edge with both endpoints marked, given query access to the input bits specifying the marked vertices. We first refute the conjectured $\Omega(n^{2/3})$ query lower bound with a bounded error quantum algorithm using $...

A. Cornelissen, Amin Shiraz Gilani, Shiva Kintali et al. · 0 citations

Preprint Oct 2026

Quantum Query Complexity of Maximum Degree and its Generalizations

We study the quantum query complexity of several basic graph problems. 1) We prove a tight $\Theta(n^{3/2})$ bound for finding a maximum-out-degree vertex in an $n$-vertex tournament, resolving a conjecture of Mande, Paraashar, and Saurabh [FSTTCS'23]. 2) Using the same proof idea, we give a direct proof that finding a...

Amin Shiraz Gilani, Nikhil S. Mande, Subhasree Patro et al. · 2 citations · ⚡1