About this library

QuantumAlgorithms.ai is a living reference for quantum algorithms. It covers Shor, quantum phase estimation, Grover, Hamiltonian simulation, HHL, VQE, and QAOA, plus topic orientations, a glossary, and bibliographic records. The complexity table adds rows for algorithms that do not yet have their own page. More entries belong here later. Empty promises do not.

Pages are written by QuantumAlgorithms.ai editorial. This page is AI-assisted and sourced from the primary papers cited on it. It is not a named expert review.

What an entry is

An algorithm page answers four questions. What problem does the algorithm solve? What is the intuition, in the model the paper uses? What complexity statement do the papers actually prove? Where does that statement stop being a reason to change a system?

The page is a secondary source. The reference records point at the papers. If a sentence here and a sentence in the paper disagree, the paper wins, and the page should be corrected.

What this site will not do

It will not rank vendors, announce a quantum advantage the papers did not claim, or treat a mapping of a business problem onto an ansatz as a speedup.

How to cite a page

For the library's own wording, a page can be cited as a webpage. For example:

QuantumAlgorithms.ai. "Shor's algorithm." https://quantumalgorithms.ai/algorithms/shor.

For the theorem, cite the paper. Shor's polynomial bound is Shor (1997), not this website. Slugs in the URL are stable: /algorithms/shor stays that address if the title is edited. Renaming a slug is a break, and this library does not do it casually. The table and the CSV/JSON dataset are CC BY 4.0. Cite them from the table page.

Who it is for

Researchers who want a claim separated from its commentary. Engineers who need the condition under which an algorithm would matter to a system they run. Students who want a path into the papers rather than a circuit diagram with the hypothesis removed.

Corrections

Corrections: open an issue or email corrections@quantumalgorithms.ai. The corrections page is the changelog. A wrong bound, a mis-stated hypothesis, or a citation that does not say what we said it says is a defect in the library.