Entanglement of two half-qubits and quantum teleportation

Construct an entangled pair of biorthogonal half-qubits and determine whether such an entangled pair can serve as a quantum resource for implementing quantum teleportation.

Background

The paper develops an algebraic fractionalization in which two biorthogonal half-qubits fuse into an arbitrary pure qubit through signed Vandermonde convolution in a Krein space. The construction is presently demonstrated for separately prepared half-qubits, while the possibility of entangling the fractional constituents is left unresolved. The authors identify this as potentially useful for quantum-information tasks, specifically quantum teleportation.