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Journal of the Optical Society of America B

Greenberger-Horne-Zeilinger state generation among remote nodes

Yonghong Ma, Guo-Hui Yang, Qing-Xia Mu, Ling Zhou

Published Mar 16, 2009• 2 citations
Publisher

Abstract

A scheme is proposed to generate multiatom entanglement among remote nodes connected by noisy channels. The noisy parameters are independent of the fidelity of the intended maximal entangled state. We show that those nonmaximal entangled states prepared in the present scheme can be used to implement quantum communication. Moreover, the scheme can be generalized to generate entanglement in N quantum nodes.

DOI
10.1364/josab.26.000713

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A scheme is proposed to generate multiatom entanglement among remote nodes connected by noisy channels. The noisy parameters are independent of the fidelity of the intended maximal entangled state. We show that those nonmaximal entangled states prepared in the present scheme can be used to implement quantum communication. Moreover, the scheme can be generalized to generate entanglement in N quantum nodes.
A scheme for generating W state by using single-photon interference and time-bin encoding in polarization noise channels is proposed. We show that polarization noise cannot affect the fidelity of the intended entangled state generation, and that the successful probability does not change as the number of atoms in a single quantum node increases. Moreover, the proposed scheme can be generalized to prepare entanglement among NNN quantum nodes.
We present two schemes for realizing the remote preparation of a Greenberger–Horne–Zeilinger (GHZ) state. The first scheme is to remotely prepare a general N -particle GHZ state with two steps. One is to prepare a qubit state by using finite classical bits from sender to receiver via a two-particle entangled state, and the other is that the receiver introduces N — 1 additional particles and performs N — 1 controlled-not (C-Not) operations. The second scheme is to remotely prepare an N -atom GHZ state via a two-atom entangled state in cavity quantum electrodynamics (QED). The two schemes require only a two-particle entangled state used as a quantum channel, so we reduce the requirement for entanglement.
Generating entanglement in a distributed scenario is a fundamental task for implementing the quantum network of the future. We here report a protocol that uses only linear optics for generating Greenberger-Horne-Zeilinger states with high fidelities in a nearby node configuration. Moreover, we analytically show that the scheme is optimal for certain initial states in providing the highest success probability for sequential protocols. Finally, we give some estimates for the generation rate in a real scenario.
A scheme is proposed for generating maximally entangled Greenberger-Horne-Zeilinger (GHZ) atomic states for testing quantum nonlocality. In the scheme, three atoms are simultaneously sent through a nonresonant cavity in a vacuum state. They are initially in the same state, and thus there is no energy exchange in the process. The cavity-assisted collision results in a phase-shift which depends upon the collective atomic excitations. In principle, the scheme can be generalized to generate N-atom GHZ states. The scheme is insensitive to cavity decay and requires only one cavity, providing new prospects for testing fundamental aspects of quantum mechanics and for quantum information processing.
Noise plays a troublesome role for entanglement generation, because the polarization entanglement of photons can be easily disturbed by the noise. In this paper, we propose a protocol to prepare Greenberger–Horne–Zeilinger state and W state of atoms in quantum nodes connected by collective-noise channels assisted by quantum nondemolition detectors (QNDs) and the controlled phase flip gates. The frequency degrees of freedom are exploited in our protocol. The successful probability of our protocol can reach 100% neglecting the photon loss and assuming that the efficiency of QNDs is 1. Moreover, the number of times of using QNDs is limited, and this makes the protocol quite effective when collective noise is small.