Suppose Alice wants to send Bob a 1000 bit message. To receive the message, Bob flips 1000 coins and writes down the results as 0s and 1s. About 50% of the random bits in the message that Bob generated are the same as in the intended message. Clearly this is an even better faster-than-light communication method than teleportation, because it succeeds 50% of the time instead of 25% of the time! /sarc

When you are transmitting information, getting things right 50% of the time (or 25% of the time in the case of superdense coded quantum information) is not enough. That's as bad as random noise. You have to do better than the noise floor to transmit information.

Suppose Alice wants to send Bob a 1000 bit message. To receive the message, Bob flips 1000 coins and writes down the results as 0s and 1s. About 50% of the random bits in the message that Bob generated are the same as in the intended message. Clearly this is an even better faster-than-light communication method than teleportation, because it succeeds 50% of the time instead of 25% of the time! /sarc

When you are transmitting information, getting a bit right 50% of the time (or 25% of the time in the case of superdense coded quantum bits) is not enough. That's as bad as random noise. You have to do better than the noise floor to transmit information.