2018Physical Review LettersOpen access

Violation of Bell’s Inequality Using Continuous Variable Measurements

Oliver Thearle, Jiří Janoušek, Seiji Armstrong, Sara Hosseini, Melanie Schünemann, Syed M. Assad, Thomas Symul, M. R. James, Elanor H. Huntington, Timothy C. Ralph, Ping Koy Lam

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Abstract

A Bell inequality is a fundamental test to rule out local hidden variable model descriptions of correlations between two physically separated systems. There have been a number of experiments in which a Bell inequality has been violated using discrete-variable systems. We demonstrate a violation of Bell's inequality using continuous variable quadrature measurements. By creating a four-mode entangled state with homodyne detection, we recorded a clear violation with a Bell value of B=2.31±0.02. This opens new possibilities for using continuous variable states for device independent quantum protocols.

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A Bell inequality is a fundamental test to rule out local hidden variable model descriptions of correlations between two physically separated systems. There have been a number of experiments in which a Bell inequality has been violated using discrete-variable systems. We demonstrate a violation of Bell's inequality using continuous variable quadrature measurements. By creating a four-mode entangled state with homodyne detection, we recorded a clear violation with a Bell value of B=2.31±0.02. This opens new possibilities for using continuous variable states for device independent quantum protocols.

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Available abstract

A Bell inequality is a fundamental test to rule out local hidden variable model descriptions of correlations between two physically separated systems. There have been a number of experiments in which a Bell inequality has been violated using discrete-variable systems. We demonstrate a violation of Bell's inequality using continuous variable quadrature measurements. By creating a four-mode entangled state with homodyne detection, we recorded a clear violation with a Bell value of B=2.31±0.02. This opens new possibilities for using continuous variable states for device independent quantum protocols.

Key concepts: Bell's theorem, Continuous variable, Local hidden variable theory, Bell test experiments, Bell state, CHSH inequality, Hidden variable theory, Kochen–Specker theorem

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