Dear colleagues,
Over the past weeks there have been more and more results in which AI models played a crucial role, not only in mathematics and theoretical computer science, but right at the heart of quantum information.
July 2026 alone saw a remarkable cluster of long-standing open problems settled: two-copy distillability of Werner states, open since about 2000, resolved by four independent papers in a single week (2607.21367, 2607.23416, 2607.24309, 2607.24479); bipartite bound information, a question Gisin and Wolf posed twenty-five years ago, answered days later; unclonable encryption, with two independent constructions, one unconditional, the other efficient, from Pauli eigenstates, appearing within days; and, in the same stretch, zero quantum and private capacity outside the PPT and antidegradable classes, sharp continuity of the conditional entropy, separability in polynomial time, a strong converse for stabilizer codes, and the Lee–Yang spectral gap (2607.10765, 2607.14401). I’m sure many more will appear in the coming days and weeks. Several of these were cracked by several groups within days of one another, illustrating a new capability that suddenly became broadly available.
We seem to be at the dawn of an “industrialisation of mathematics”, with a potentially huge impact on all of theory research, and our field is squarely in its path. None of us knows where this is heading, and that is precisely why now seems a very good time to discuss it together, as a wider quantum community, while we still have room to shape how we respond rather than simply reacting a year from now. For those interested, Robert Huang’s Simons talk “How To Respond To The Automation of Research” and Tobias Osborne’s recent post on proof inflation are good starting points.
Concrete questions that come to my mind:
- what is a “publishable unit”, when a well-posed question can go to a complete, Lean-checkable proof over a weekend?
- what is the role of QIP, TQC, QCrypt and other quantum conferences, and how should they treat primarily AI-generated results?
- how do we organise reviewing, if program committees and the arXiv face a volume they cannot triage by hand?
- what should authorship and disclosure look like, when a model cannot be an author but the human contribution may be a single prompt?
- how do we keep access equitable, when frontier models are restricted by money and geography contraints, and open-weight alternatives are only now catching up?
But also more philosophical ones:
- what is the human value of theory research in this new setting?
- what is the human motivation for doing it?
Let’s discuss these fundamental questions together.
UPDATE (30 July 2026): I recommend everybody interested in these questions to join the ongoing discussion on Zulip at Sign up | Zulip