Study of controlled dense coding with some discrete tripartite and quadripartite states

Abstract

The paper presents the detailed study of controlled dense coding scheme for different types of $3$ and $4-$ particle states. It consists of GHZ state, GHZ type states, Maximal Slice state, Four particle GHZ state and W class of states. It is shown that GHZ-type states can be used for controlled dense coding in a probabilistic sense. We have shown relations among parameter of GHZ type state, concurrence of the shared bipartite state by two parties with respect to GHZ type and Charlie's measurement angle $\theta$. We have seen that tripartite W state and quadripartite W state cannot be used in controlled dense coding whereas $|W_n{⟩}_{ABC}$ states can be used probabilistically. Finally, we have investigated controlled dense coding scheme for tripartite qutrit states.

21 pages, 7 figures, Accepted in International Journal of Quantum Information on 8th of June 2015

References in corpus (2)

• The states of W-class as shared resources for perfect teleportation and superdense coding
• Controlled Quantum Dense Coding in a Four-particle Non-maximally Entangled State via Local Measurements

Cited by in corpus (1)

• Optimal dense coding and swap operation between two coupled electronic spins: effects of nuclear field and spin-orbit interaction