On quantum functionals for higher-order tensors

arXiv:2604.18283 · math.AG, cs.CC, math.RT, quant-ph · Submitted 2026-04-20 · Read on arXiv

math.AG, cs.CC, math.RT, quant-ph

Submitted: 2026-04-20

Updated: 2026-09-18

Comments: 28 pages; v2 shows new obstructions to asymptotic restrictions beyond previously known spectral points

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Entanglement — 20× in this paper · explained in 4 episodes
• Embeddings — 8× in this paper · explained in 2 episodes
• Absolutely Maximally Entangled — 5× in this paper
• Regularization — 5× in this paper · explained in 3 episodes
• Trace — 4× in this paper · explained in 2 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Additivity — 1× in this paper · explained in 1 episode
• Generalization — 1× in this paper · explained in 13 episodes
• Gradient Flow — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Hypergraph — 1× in this paper · explained in 2 episodes
• Superadditivity — 1× in this paper · explained in 2 episodes

Sources

• Beyond Bilinear Complexity: What Works and What Breaks with Many Modes?
• Generalized gradient flows in Hadamard manifolds and convex optimization on entanglement polytopes
• Coherent states, entanglement, and geometric invariant theory
• Quantum marginal problem and representations of the symmetric group
• Absolutely maximally entangled pure states of multipartite quantum systems
• Strassen's support functionals coincide with the quantum functionals

Related papers

• Algebraic Invariants of Lightning Self-Attention