Qubits from Number States and Bell Inequalities for Number Measurements

Abstract

Bell inequalities for number measurements are derived via the observation that the bits of the number indexing a number state are proper qubits. Violations of these inequalities are obtained from the output state of the nondegenerate optical parametric amplifier.

revtex4, 7 pages, v2: results identical but extended presentation, v3: published version

References in corpus (3)

• Experimental long-lived entanglement of two macroscopic objects
• Bell inequalities for arbitrarily high dimensional systems
• Maximal Violation of Bell's Inequalities for Continuous Variable Systems

Cited by in corpus (11)

• Bell's Inequalities for Continuous-Variable Systems in Generic Squeezed States
• Correspondence between continuous variable and discrete quantum systems of arbitrary dimensions
• Bell Inequalities for Position Measurements
• Maximally polarized states for quantum light fields
• Introduction to Bell's inequality in Quantum Mechanics
• Entangled coherent states and violations of Bell-CHSH inequalities
• On the representations of Bell's operators in Quantum Mechanics
• Bitwise Bell inequality violations for an entangled state involving 2N ions
• Probing Mermin's inequalities violations through pseudospin operators
• Unitary realizations of the ideal phase measurement
• Arbitrarily large violations of non-contextuality in single mode photon states with positive Wigner function