Controlled Dense Coding using Generalized GHZ-type State

Abstract

Two schemes for controlled dense coding with a extended GHZ-type state are investigated. In this protocol, the supervisor (Cliff) can control the channel and the average amount of information transmitted from the sender (Alice) 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.

Optimal quantum channel for perfect controlled super-dense coding protocol

“…The controlled super-dense coding was experimentally demonstrated by Jing et al [21] and Zhang et al [22]. Later, researchers have generalized the controlled super-dense coding protocols to multi-partite quantum channels to extend various coding tasks within a quantum network [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. The quantum channel of the controlled super-dense coding protocol may be an entangled state of different kinds such as Greenberger-Horne-Zeilinger (GHZ) state [23], GHZ-class state [24], extended GHZ state [26], four-partite non-maximally entangled state [27], five-qubit cluster state [28], generalized GHZ-type state [29], six-qubit cluster state [30], a genuine five-atom entangled state in cavity QED [34] and so on.…”

“…Later, researchers have generalized the controlled super-dense coding protocols to multi-partite quantum channels to extend various coding tasks within a quantum network [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. The quantum channel of the controlled super-dense coding protocol may be an entangled state of different kinds such as Greenberger-Horne-Zeilinger (GHZ) state [23], GHZ-class state [24], extended GHZ state [26], four-partite non-maximally entangled state [27], five-qubit cluster state [28], generalized GHZ-type state [29], six-qubit cluster state [30], a genuine five-atom entangled state in cavity QED [34] and so on. The quantum entanglement between the sender and the receiver is controlled by the controller by means of local operations (including unitary transformations, measurements, use of quantum ancillasK) and classical communication.…”

Controlled Dense Coding with Six-Qubit Cluster State

“…Recently, Huang et al investigate a controlled dense coding scheme with GHZ-class state [17] and then generalized the controlled dense coding protocol of the three-particle GHZ quantum channel to the case of a (N + 2)-particle GHZ quantum channel where N senders were considered [18]. Yi et al proposed a other one using generalized GHZ-type state [19].…”