Higher-Dimensional Bell Inequalities with Noisy Qudits

Abstract

Generalizations of the classic Bell inequality to higher dimensional quantum systems known as qudits are reputed to exhibit a higher degree of robustness to noise, but such claims are based on one particular noise model. We analyze the violation of the Collins-Gisin-Linden-Massar-Popescu inequality subject to more realistic noise sources and their scaling with dimension. This analysis is inspired by potential Bell inequality experiments with superconducting resonator-based qudits. We find that the robustness of the inequality to noise generally decreases with increasing qudit dimension.

References in corpus (14)

• Charge insensitive qubit design derived from the Cooper pair box
• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Significant-loophole-free test of Bell's theorem with entangled photons
• A strong loophole-free test of local realism
• Free-Space distribution of entanglement and single photons over 144 km
• Bell inequality violation with two remote atomic qubits
• Demonstration of entanglement-by-measurement of solid state qubits
• Universal Control of an Oscillator with Dispersive Coupling to a Qubit
• Bell's inequality violation with spins in silicon
• Parallelism for Quantum Computation with Qudits
• Qudit Quantum Computation in the Jaynes-Cummings Model
• Quantum State Synthesis of Superconducting Resonators
• Violation of Bell inequalities in larger Hilbert spaces: robustness and challenges
• Violating Bell's inequality with an artificial atom and a cat state in a cavity

Cited by in corpus (4)

• Entanglement protection of high-dimensional states by adaptive optics
• Survey on the Bell nonlocality of a pair of entangled qudits
• Entanglement Dynamics for Two Spins in an Optical Cavity---Field Interaction Induced Decoherence and Coherence Revival
• Photonic quantum information with time-bins: Principles and applications