Secure $N$-dimensional Simultaneous Dense Coding and Applications

Physics – Quantum Physics

Scientific paper

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13 pages, comments are welcome

Scientific paper

imultaneous dense coding guarantees that Bob and Charlie simultaneously achieve their respective information from Alice in their respective processes of dense coding. The idea is to use the locking operation to lock the entanglement channels. In this paper, we present some new results on simultaneous dense coding: (1) We propose three simultaneous dense coding protocols, which utilize different $N$-dimensional quantum entanglement (i.e. Bell state, W state and GHZ state). (2) Besides the quantum Fourier transform, two new locking operators (i.e. the double controlled-NOT operator and the SWAP operator) are introduced. (3) In the case that spatially distant Bob and Charlie must implement the unlocking operation through communication, we improve our protocol's fairness by implementing the unlocking operation in series of steps. (4) We improve the security of simultaneous dense coding against the intercept-resend attack. (5) We show that simultaneous dense coding can be used to implement a fair contract signing protocol. (6) We also show that the $N$-dimensional quantum Fourier transform can act as the locking operator in simultaneous teleportation of qu$N$its.

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