Stabiliser check matrix symplectic-rank structure: Λ∈F_2^((n-k)×2n) with alternating form

Stabiliser formalism symplectic parity-check matrix. Setup: an [[n,k,d]] stabiliser code has (n−k) independent commuting Pauli stabiliser generators, each represented as a 2n-bit vector (x-part | z-part) ∈ F₂^(2n). The parity-check matrix…