Figure 1: The pair of phase-conjugate states in the Bloch sphere when the fixed basis is the basis with the parameterization . In this representation the phase-conjugation changes the sign of the -coordinate and the phase-conjugate state vector of the system is given by . The directions of the Bloch vectors are in the reflection relation with respect to the plane. The maximally entangled state is a coherent superposition of these pairs and produces the phase-conjugate pairs associated with the local projection in any direction as described in (1).