Controlled Dense Coding via Generalized Measurement

Abstract

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.

Secure N-dimensional simultaneous dense coding and applications

“…For example, dense coding that utilises high-dimensional entangled states has been studied in [4,5,6], non-maximally entanglement channels in [7,8,9,10,11,12,13,14,15,16,17,18,19], while multipartite entanglement channels have also been considered in [20,21,22,23,24,25,26,27]. Another generalisation is to perform the communication task under the control of a third party, so-called controlled dense coding [28,29,30,31].…”

Simultaneous dense coding

“…Teleportation and dense coding are closely related [7,8] and have been extensively studied in various ways. For example, teleportation and dense coding that use the nonmaximally entangled quantum channel have been examined [8][9][10][11][12][13][14][15][16][17]; multipartite entangled states have also been considered as the quantum channel [18][19][20][21][22][23][24][25][26]; another generalization is to perform these two communication tasks under the control of a third party, so-called controlled teleportation and dense coding [27][28][29][30][31][32].…”