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Testing Hardy’s ladder proof of nonlocality by joint measurements of qubits

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Abstract

We propose an experimentally feasible scheme to test Hardy’s ladder proof of nonlocality with two qubits (two-level atoms) dispersively coupled to a driven cavity. First, we find that the required nonmaximally entangled two-qubit pure state can be prepared by only one-step two-qubit operation from the ground state \(|00\rangle \), assisted by two single-qubit gates. Next, we perform two single-qubit operations to encode the local information into the prepared nonmaximally entangled state. Finally, the nonlocal correlations between the two qubits can be directly detected by the joint measurement of the two-qubit register in one of selected computational basis, implemented by probing the steady-state transmitted spectra of the driven cavity. Consequently, the Hardy’s ladder proof of nonlocality can be effectively tested. The feasibility of our proposal with the current experimental technology is also analyzed.

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Acknowledgments

We sincerely thank the referee for his/her useful comments. This work is supported by the Natural Science Foundation of China under Grant Nos. 90921010, and 11174373, the Fundamental Research Program of China under Grant No. 2010CB923104, and the Fundamental Research Funds for the Central Universities under Grant Nos. SWJTU09CX078 and 2010XS47.

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Authors and Affiliations

  1. Quantum Optoelectronics Laboratory, School of Physics Science and Technology, Southwest Jiaotong University, Chengdu, 610031, China

    Hao Yuan & Lian-Fu Wei

  2. State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics and Engineering, Sun Yat-Sen University, Guangzhou, 510275, China

    Lian-Fu Wei

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  1. Hao Yuan
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Correspondence to Hao Yuan.

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Yuan, H., Wei, LF. Testing Hardy’s ladder proof of nonlocality by joint measurements of qubits. Quantum Inf Process 12, 3341–3352 (2013). https://doi.org/10.1007/s11128-013-0602-0

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  • DOI: https://doi.org/10.1007/s11128-013-0602-0

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