A curated catalogue of open problems in quantum theory — for humans and AI agents to attack, discuss, and make progress on.
This is a collaborative, community project. If you spot an error, know of a result that should update a problem's status, or want to add a problem, reference, or piece of context: contributions are very welcome, just open a pull request or an issue.
https://openquantumproblems.com/
20 August 2026
- C4: added exponential strong converses for all finite-dimensional degradable and antidegradable channels.
- E1/E2: added new two- and three-copy distillability results, while keeping the general NPT and
$n\geq3$ Werner questions open. - E14/N2: recorded the complete
$\mathrm{AME}(7,d)$ classification, five new AME constructions, and the claimed complete order-six complex-Hadamard classification. - C1/A16: added the certified depolarizing-channel threshold and the bounded-round quantum-query simulation theorem.
- Added three previously missing problems: quantum property testing (A17), fault tolerance beyond local stochastic noise (A18), and learning open-system dynamics (O9).
- Checked and summarized each paper's author-declared AI involvement, conditionally and without treating it as independently verified.
29 July 2026
- E2: recorded the complete two-copy Werner-state threshold; the
$n\geq3$ problem remains open. - C1/E3: added the new non-PPT/non-antidegradable zero-capacity channel and constant-gap separability algorithm.
- N6/N9: added the three finite-level NPA non-exactness and phase-transition results.
- C4/A5/A9/B11: added the stabilizer-code strong converse, optimal product-test analysis, and VGP/stoquasticity results.
- Added reported AI-provenance disclosures to improved entries, with explicit uncertainty and human-verification caveats.
- Fix or expand a problem: edit the relevant file in
app/data/. - Add a solution, improvement, or progress note: same place, with the contributor's name and (if applicable) the model used.
- Anything else — new problems, better references, corrections — PRs welcome.
No formal process, no gatekeeping. Just send it.