Quantum communication using a bounded-size quantum reference frame

Understand

Typical quantum communication schemes are such that to achieve perfect decoding the receiver must share a reference frame with the sender.

• Indeed, if the receiver only possesses a bounded-size quantum token of the sender's reference frame, then the decoding is imperfect, and we can describe this effect as a noisy quantum channel.
• We seek here to characterize the performance of such schemes, or equivalently, to determine the effective decoherence induced by having a bounded-size reference frame.
• We assume that the token is prepared in a special state that has particularly nice group-theoretic properties and that is near-optimal for transmitting information about the sender's frame.