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Correlation-function Bell inequality with improved visibility for three qubits

Chunfeng Wu, Jing‐Ling Chen, L. C. Kwek +1 more

We construct a Bell inequality in terms of correlation functions for three qubits. The inequality is violated by quantum mechanics for all pure entangled states of three qubits. The strength of the violation for the GHZ state is stronger than the result given by Chen et al. [Phys. Rev. Lett. 93, 140407 (2004)], indicating that our three-qubit Bell inequality is more resistant to noise than those presented in the literature and hence is more useful in its practical applications.

Physical Review AJun 5, 200811 citations

A BELL INEQUALITY BASED ON CORRELATION FUNCTIONS FOR THREE QUBITS

Chunfeng Wu, Jing‐Ling Chen, L. C. Kwek +1 more

Oct 1, 20050 citations

Quantum Correlations and Bell's Inequality

WORLD SCIENTIFIC eBooksSep 1, 20100 citations

Entanglement of three qubits

Chunfeng Wu, J. -L. Chen, L. C. Kwek +2 more

For the formulation of Bell inequalities, it is important to include not just N -site correlation functions, but also ( N - n )-site correlation functions. In this article, we focus on a three-qubit Bell inequality, which has been shown to be a good candidate for generalizing Gisin’s theorem to three qubits. The three-qubit Bell inequality can be used to detect the W-type entanglement in a proposed experiment.

Laser PhysicsAug 1, 20071 citation

Quantum Correlations beyond Bell’s Inequalities

Anton Zeilinger

NATO ASI series. Series B : PhysicsJan 1, 19952 citations

New Method to Reveal the Conflict Between Local Realism and Quantum Mechanics

Koji Nagata, Jaewook Ahn

We formulate the expectation value of the Bell-Zukowski operator acting on qubit states of a two-particle Bell experiment. By using the equivalence between a set of N copies of a two-qubit experiment and a standard two-setting Bell experiment in an entangled 2N-particle state, we obtain an inequality, which we may call the Bell-Zukowski inequality. It determines whether the measured correlation functions of two-particle states can be modeled locally and realistically. In this Bell experiment of two particles, the conflict between local realism and quantum mechanics is discussed in conjunction with the violation of the Bell-Zukowski inequality. The main point of the result is that the Bell-Zukowski operator can be represented by the Bell-Mermin operator. The threshold visibility of two-particle interference analyzed in this scheme shows good agreement with the value to cause a violation of the Bell-Zukowski inequality.We formulate the expectation value of the Bell-Zukowski operator acting on qubit states of a two-particle Bell experiment. By using the equivalence between a set of N copies of a two-qubit experiment and a standard two-setting Bell experiment in an entangled 2N-particle state, we obtain an inequality, which we may call the Bell-Zukowski inequality. It determines whether the measured correlation functions of two-particle states can be modeled locally and realistically. In this Bell experiment of two particles, the conflict between local realism and quantum mechanics is discussed in conjunction with the violation of the Bell-Zukowski inequality. The main point of the result is that the Bell-Zukowski operator can be represented by the Bell-Mermin operator. The threshold visibility of two-particle interference analyzed in this scheme shows good agreement with the value to cause a violation of the Bell-Zukowski inequality.

arXiv:0811.3275Journal of the Korean Physical SocietyDec 15, 20080 citations

A Correlation-Function Bell Inequality with Improved Visibility for 3 Qubits

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A Correlation-Function Bell Inequality with Improved Visibility for 3 Qubits

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