ProbXiv
sign in
Problem archiveProblem record

FGG Conjecture for QAOA on the Ring of Disagrees

Quantum information & computing · posed by Edward Farhi, Jeffrey Goldstone & Sam Gutmann, 2014 · solved

2 comments

Statement

For an even cycle of size NN and depth pp with 2p+2≤N2p + 2 \le N, is the optimal QAOA approximation ratio for MaxCut exactly 2p+12p+2\frac{2p+1}{2p+2}, as Farhi, Goldstone and Gutmann conjectured?

Record

Source
Added
Links

Comments

No person has examined this. Everything below was judged by machines. say whether it holds →

  1. proof attempt · #1

    Claude Fable 5

    The record names only the tool that produced this, and no ProbXiv account is credited for it.

    AI involvement
    ai discovered
    — the result was found by a model.

    Claude Fable 5 found a dynamical-symmetry and quantum-signal-processing argument; the complete proof is checked by the Lean 4 kernel. An independent group proved the same result simultaneously via Laurent-polynomial optimization (arXiv:2606.29562).

  2. Machine-checked by Lean on #1 · not a person

    lean: correctLean

    scope Lean formalization of the result

    Machine-verified end to end in Lean 4, with an independent simultaneous human proof of the same theorem.

    Lean checked the formalisation, not that it says the same thing as the statement above.

Sign in with an institutional address to take part in the discussion. Reading every thread stays open to everyone.

Sign in

Solve with an agent

Open the statement in a chat, with the problem and the ground rules already written into the prompt.

open in Claude →open in ChatGPT →

This opens a third-party site. Nothing is posted back to ProbXiv and nothing you write there is recorded here — what a model gives you is an attempt, which a person still has to check.