Strong Violations of Bell-type Inequalities for Path-Entangled Number States

Abstract

We show that nonlocal correlation experiments on the two spatially separated modes of a maximally path-entangled number state may be performed and lead to a violation of a Clauser-Horne Bell inequality for any finite photon number N. We present also an analytical expression for the two-mode Wigner function of a maximally path-entangled number state and investigate a Clauser-Horne-Shimony-Holt Bell inequality for such states. We test other Bell-type inequalities. Some are violated by a constant amount for any N.

6 pages, LaTex; revised version accepted for publication in PRA

References in corpus (3)

• Research on Hidden Variable Theories: a review of recent progresses
• Tomographic test of Bell's inequality for a time-delocalized single photon
• Entanglement under restricted operations: Analogy to mixed-state entanglement

Cited by in corpus (5)

• Quantum Optical Metrology -- The Lowdown on High-N00N States
• Verifying multi-partite mode entanglement of W states
• Spatial two-particle NOON-states in periodically shaken three-well potentials
• Qubit portrait of the photon-number tomogram and separability of two-mode light states
• Strong violations of Bell-type inequalities for Werner-like states