Reproduce “Exact CNOT Classification of Four-Qubit Maximum-Hyperdeterminant States: Resolution of the Twelve-Coset Conjecture and the Structure of the 288-Circuit Sector” on OpenResearch
Turn your favorite coding agents into research agents that review literature, develop hypotheses, and run experiments.
Universal app for Apple silicon and Intel. Requires macOS 11 or later.
About this paper
Zhangchi Liu
The authors classify the four-qubit CNOT transformations that can map some factorized input to the local-unitary orbit maximizing the absolute Cayley hyperdeterminant. They reduce the search using wire-permutation symmetries and target-state correlation constraints, then use exact Gröbner-basis calculations to eliminate alternatives. Exactly 288 transformations qualify, forming twelve right cosets; this is not a count of minimum-length circuits or a hardware-routing result.
Summary by alphaXiv.
Tip: change arxiv.org to autoarxiv.org in any arXiv abstract link to open the paper here.