Unrestricted Two-Qubit Fourth-Resolvent-Moment Tensorisation
Year: 2026
Type: preprint
Abstract: We establish a fourth-resolvent-moment tensorisation inequality with sharp constant 3 for arbitrary positive-definite qubit averages and traceless Hermitian qubit signals, without restrictions on spectral contrast, commutativity, or signal orientation. The proof combines an exact Dirichlet covariance representation, positivity of mixed spectral coefficients, majorization-based association, and a nonnegative orientation covariance. The result extends fourth-order tensorisation beyond the structural classes addressed in our earlier work on sharp quantum information combining. It does not establish the full unrestricted Hirche–Reeb entropy conjecture, which requires additional control beyond the fourth resolvent moment. Duplicate for integration testing only. This is a byte-for-byte file copy of 10.5281/zenodo.23927232, not a new research result. Original publication is unchanged. NOETHER upload manifest: a5035f29-c39f-4580-8bcc-d8b3b3670f9a.
Author: Henry, Kias
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225186154