Tomographic test of Bell's inequality for a time-delocalized single photon

Abstract

Time-domain balanced homodyne detection is performed on two well-separated temporal modes sharing a single photon. The reconstructed density matrix of the two-mode system is used to prove and quantify its entangled nature, while the Wigner function is employed for an innovative tomographic test of Bell's inequality based on the theoretical proposal by Banaszek and Wodkiewicz [Phys. Rev. Lett. 82, 2009 (1999)]. Provided some auxiliary assumptions are made, a clear violation of Banaszek-Bell's inequality is found.

7 pages, 3 figures: revised version with additional material; accepetd for publication in Phys. Rev. A

References in corpus (2)

• Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission
• Tomographic reconstruction of the single-photon Fock state by high-frequency homodyne detection

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• Diluted maximum-likelihood algorithm for quantum tomography
• Strong Violations of Bell-type Inequalities for Path-Entangled Number States
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• Conditional generation of path-entangled optical NOON states
• Detecting mode entanglement: The role of coherent states, superselection rules and particle statistics
• Single particle nonlocality with completely independent reference states
• Strong violations of Bell-type inequalities for Werner-like states
• Statistical properties and decoherence of two-mode photon-subtracted squeezed vacuum