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International Journal of Quantum Information

CONTROLLED DENSE CODING WITH EXTENDED GHZ STATE

Guoqiang Huang, Cui-Lan Luo

Published Sep 1, 2009• 2 citations
Publisher

Abstract

Two schemes for controlled dense coding with a extended GHZ state are investigated. In these protocols, the supervisor (Cliff) can control the average amount of information transmitted from the sender (Alice) to the receiver (Bob) only by adjusting his local measurement angle θ. It is shown that the results for the average amounts of information are unique from the different two schemes.

DOI
10.1142/s0219749909005481

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Two schemes for controlled dense coding with a extended GHZ state are investigated. In these protocols, the supervisor (Cliff) can control the average amount of information transmitted from the sender (Alice) to the receiver (Bob) only by adjusting his local measurement angle θ. It is shown that the results for the average amounts of information are unique from the different two schemes.
A controlled quantum dense coding protocol with GHZ-class state is proposed. In this case the sender (Alice) can send information to the receiver (Bob), whereas the supervisor (Cliff) can control the quantum channel between Alice and Bob via his local measurement. The amount of classical information is shown to be controlled by the supervisor through adjustments of the local measurement angles and depend on the coefficients of the original GHZ-class state. We also give two concrete methods for Alice to deal with one of Cliff's measurement result which is more complicated.
A scheme of realizing controlled dense coding via generalized measurement was presented. In this protocol, the supervisor can control the entanglement between the sender and the receiver and then the average amount of information transmitted from the sender to the receiver by only adjusting measurement angle θ. It is shown that when the quantum channel was a GHZ state, the entanglement and the average amount of information are determined by supervisor's measurement angle θ only; whereas when the quantum channel was a GHZ-class state, those are determined not only by supervisor's measurement angle θ but also the minimal coefficient of the GHZ-class state.