If Alice and Bob share an entangled state like the EPR state, by sending only two classical bits, Alice can transfer one qubit to Bob by means of quantum teleportation (see also Section 1.3.7 of http://mmrc.amss.cas.cn/tlb/201702/W020170224608149940643.pdf).
Are two classical bits optimal for this protocol?
If Alice can do this by sending only one classical bit, does this violate Holevo's bound or any other rules?
(Also posted here)