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Author

Andrew M. Childs

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Preprint Sep 2026

Optimal Quantum Algorithms for Ordered Search

Ordered search is the problem of locating a target element in a sorted list of size $n$ using comparison queries. Classically, binary search requires $\lceil \log_2 n\rceil$ queries, which is optimal. Quantum algorithms offer a constant-factor speedup, but the precise constant has been a longstanding open question. We...

Joseph Carolan, Andrew M. Childs · 0 citations
Preprint Oct 2026

On State Distinguishing Without Inverse Queries

In the quantum state distinguishing problem, an algorithm is given copies of a state $|\psi\rangle$ or $|\phi\rangle$ separated by trace distance $\varepsilon$, and tasked with deciding which is the case. It is a standard result that $\Theta(\varepsilon^{-2})$ copies are required, while having access to a unitary state...

Emma Wang, Joseph Carolan, Andrew M. Childs · 0 citations

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