Quantum computation of zeta functions of curves

DOI10.1007/s00037-006-0204-7zbMath1118.14062arXivmath/0411623OpenAlexW2038714372MaRDI QIDQ2506162

Kiran S. Kedlaya

Publication date: 28 September 2006

Published in: Computational Complexity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411623

zbMATH Keywords

finite fieldsclass groupsalgebraic curvesquantum computationcyclic resultants

Mathematics Subject Classification ID

Quantum computation (81P68) Curves over finite and local fields (11G20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Computational aspects of algebraic curves (14Q05)

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On the relationship between continuous- and discrete-time quantum walk ⋮ On the exact evaluation of certain instances of the Potts partition function by quantum computers ⋮ On the cyclic resultants ⋮ Identifying central endomorphisms of an abelian variety via Frobenius endomorphisms ⋮ Quantum algorithms for algebraic problems ⋮ Polynomial recurrences and cyclic resultants ⋮ Quantum Algorithms for a Set of Group Theoretic Problems

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