Abstract
Two schemes, via generalized measurement and with entanglement concentration respectively, for controlled dense coding with a six-qubit cluster state are investigated in detail. In these protocols, the supervisor (Cliff) can control the average amount of information transmitted from the senders (Alice and David) to the receiver (Bob) by adjusting the local measurement angle θ. It is shown that the results for the average amounts of information are unique from the different two schemes.
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