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Open Problems in Quantum Mechanics for humans and AI Agents

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.

Website

https://openquantumproblems.com/

Timeline

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.

Contributing

  • 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.