Canonical quantum teleportation
Sixia Yu, Chang-Pu Sun · Physical Review A · 2000
Canonically conjugated observables such as position and momentum and phase and number are found to play a threefold role in quantum teleportation. First, the common eigenstate of two commuting canonical observables like phase difference and number sum provides the quantum channel between two systems. Second, a similar pair of canonical observables from another two systems is measured in the Bell-operator measurements. Finally, two translations generated by the canonically conjugated observables of a single system constitute the local unitary operation to recover the unknown state. In addition, the necessary and sufficient condition is presented for a reliable quantum teleportation of finite-level systems.