Robust Multipartite Entangled States from a Universal Spinorial Functional

This work introduces a universal spinorial functional F[Ψ]F[\Psi]F[Ψ] that naturally leads to the emergence of multipartite entangled states. In particular, the three-qubit W state, recently demonstrated experimentally by Kyoto University (2025), arises as the minimal solution of the functional. The analysis is extended to a generalized family of states WN,kW_{N,k}WN,k, which exhibit enhanced robustness compared to both GHZ and standard W states. Analytical calculations of reduced density matrices and von Neumann entropies confirm their stability under qubit loss. These results suggest new pathways toward fault-tolerant quantum computation and scalable quantum communication. Author: Edoardo Livolsi – Independent Researcher – [email protected] Keywords: Quantum Information, Entanglement, W State, Spinorial Functional, Quantum Computation, Robust States