Minimum detection efficiency for a loophole-free violation of the Braunstein-Caves chained Bell inequalities

Abstract

The chained Bell inequalities of Braunstein and Caves involving N settings per observer have some interesting applications. Here we obtain the minimum detection efficiency required for a loophole-free violation of the Braunstein-Caves inequalities for any N > 2. We discuss both the case in which both particles are detected with the same efficiency and the case in which the particles are detected with different efficiencies.

REVTeX4, 8 pages

References in corpus (5)

• Bell inequality violation with two remote atomic qubits
• Detection loophole in asymmetric Bell experiments
• Hidden variable models for quantum theory cannot have any local part
• Necessary and sufficient detection efficiency for the Mermin inequalities
• Mermin inequalities for perfect correlations

Cited by in corpus (8)

• Chained Bell Inequality Experiment with High-Efficiency Measurements
• Energy-time entanglement, Elements of Reality, and Local Realism
• Minimum Detection Efficiencies for a Loophole-Free Bell-type Test
• Bell scenarios in which nonlocality and entanglement are inversely related
• Self-testing tilted strategies for maximal loophole-free nonlocality
• Tight Bounds for the Pearle-Braunstein-Caves Chained Inequality Without the Fair-Coincidence Assumption
• Bell tests with random measurements require very high detection efficiencies
• Detection Efficiency Bounds in (Semi-)Device-Independent Scenarios