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Chinese Physics B

A realizable multi-bit dense coding scheme with an Einstein—Podolsky—Rosen channel

Qi Guo, Liu‐Yong Cheng, Hong‐Fu Wang, Shou Zhang, Kyu-Hwang Yeon

Published Oct 1, 2012• 1 citation
Publisher

Abstract

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.

DOI
10.1088/1674-1056/21/10/100301

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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.
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.
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).
Highly efficient quantum dense coding for continuous variables has been experimentally accomplished by means of exploiting a bright Einstein-Podolsky-Rosen (EPR) beam with anticorrelation of amplitude quadratures and correlation of phase quadratures. Two bits of classical information are encoded on two quadratures of a half of a bright EPR beam, then are simultaneously decoded by the other half of the EPR beam with the sensitivities beyond that of the shot noise limit. A high degree of immunity to unauthorized eavesdropping has been experimentally demonstrated.
A quantum key distribution protocol, based on the quantum dense encoding in entangled states, is presented. In this protocol, we introduce an encoding process to encode,two classical bits information into one of the four one-qubit unitary operations implemented by Alice and the Bell states measurement implemented by Bob in stead of direct measuring the previously shared Einstein-Podolsky-Rosen pairs by both of the distant parties, Alice and Bob Considering the practical application we can get the conclusion that our protocol has some advantages. It not only simplifies the measurement which may induce potential errors, but also improves the effectively transmitted rate of the generated qubits by the raw key. Here we also discuss eavesdropping attacks against the scheme and the channel loss.