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Journal of Xinjiang Normal University

The Scheme of Dense Coding Using Three Qubit GHZ States

Wang Fe

Published Jan 1, 2015• 0 citations
OpenAlex

Abstract

This article introduced the scheme of Zhang San and Li Si has a pair of three bits largest entangledGreenberger- Horne- Zeilinger state(GHZ state) to achieve a quantum dense coding, through this scheme willhelp realize quantum dense coding in multibody system. This article also introduces simple method of any three bitssystem's density matrix reduces to two bits density matrix.

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中国物理B：英文版•Jan 1, 2012•0 citations
This article introduced the scheme of Zhang San and Li Si has a pair of three bits largest entangledGreenberger- Horne- Zeilinger state(GHZ state) to achieve a quantum dense coding, through this scheme willhelp realize quantum dense coding in multibody system. This article also introduces simple method of any three bitssystem's density matrix reduces to two bits density matrix.
We propose an efficient scheme for realizing quantum dense coding with three-particle GHZ state in separated low-Q cavities. In this paper, the GHZ state is first prepared with three atoms trapped, respectively, in three spatial separated cavities. Meanwhile, with the assistance of a coherent optical pulse and X-quadrature homodyne measurement, we can implement quantum dense coding with three-particle GHZ state with a higher probability. Our scheme can also be generalized to realize N -particle quantum dense coding.
A novel scheme for realizing dense coding with Greenberger-Home-Zeilinger(GHZ) state in linear optical system is proposed.In this protocol,Alice codes on photon 1 and 2 by linear optical element and sents these photons to Bob.Then Bob performs a joint measurement on photons 1,2,and 3 with the GHZ basis by employing two quantum nondemolition detectors(QND) and polarizing beam splitter(PBS).Eight GHZ states can be completely discriminated.According to the outcomes of his measurement,Bob can determine what operation Alice applied.Alice only transmits two photons in this process of the quantum dense coding,but Bob can obtain three bits of classical information.The QND devices are generally based on cross-Kerr nonlinearities,and the cross-Kerr nonlinearities are available with electromagnetically induced transparency(EIT).
We propose a multi-bit dense coding scheme by using only an Einstein-Podolsky-Rosen(EPR) channel and assistant qubits.It is shown that no matter how many classical bits there are,the quantum channel is always a Bell state.The present dense coding process can also prepare non-local multi-particle Greenberger-Horne-Zeilinger(GHZ) states at one of the participants.The quantum circuits for this dense coding process are constructed,the deterministic implementation method in an optical system based on the cross-Kerr nonlinearities is shown.