Half a qubit: an algebraic fractionalization
Fractionalizing a quantum two-level system is usually associated with encodings based on pairs of Majorana fermions---an operational fractionalization. We show an alternative algebraic fractionalization by embedding Sz\'{e}kely's classical ``half-coin''into a non-Hermitian Krein space. The coefficients of $(q+pz)^{1/2}...