Interplay of Quantum Resources in Nonlocality Tests

Abstract

Nonlocality, evidenced by the violation of Bell inequalities, not only signifies entanglement but also highlights measurement incompatibility in quantum systems. Utilizing the generalized Clauser-Horne-Shimony-Holt (CHSH) Bell inequality, our high-efficiency optical setup achieves a loophole-free violation of $2.0132$. This result provides a device-independent lower bound on entanglement, quantified as the entanglement of formation at $0.0159$. Moreover, by tuning the parameters of the generalized Bell inequality, we enhance the estimation of measurement incompatibility, which is quantified by an effective overlap of $4.3883\times 10^{-5}$. To explore the intricate interplay among nonlocality, entanglement, and measurement incompatibility, we generate mixed states, allowing for flexible modulation of entanglement via fast switching among the four Bell states using Pockels cells, achieving a fidelity above $99.10\%$. Intriguingly, our results reveal a counterintuitive relationship where increasing incompatibility initially boosts nonlocality but eventually leads to its reduction. Typically, maximal nonlocality does not coincide with maximal incompatibility. This experimental study sheds light on the optimal management of quantum resources for Bell-inequality-based quantum information processing.

15 pages, 9 figures

References in corpus (37)

• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Bell nonlocality
• Device-independent security of quantum cryptography against collective attacks
• Significant-loophole-free test of Bell's theorem with entangled photons
• Random Numbers Certified by Bell's Theorem
• A strong loophole-free test of local realism
• Quantum Resource Theories
• No Signalling and Quantum Key Distribution
• Private Randomness Expansion With Untrusted Devices
• Randomness vs Non Locality and Entanglement
• Experimental device-independent quantum key distribution between distant users
• Device independent quantum random number generation
• Entanglement versus Bell violations and their behaviour under local filtering operations
• Device-independent entanglement quantification and related applications
• Experimentally Generated Randomness Certified by the Impossibility of Superluminal Signals
• Photonic verification of device-independent quantum key distribution against collective attacks
• Quantatitive relations between measurement incompatibility, quantum steering, and nonlocality
• Device-independent Randomness Expansion with Entangled Photons
• Evaluation of convex roof entanglement measures
• Testing Local Realism into the Past without Detection and Locality Loopholes
• Semi-device-independent bounds on entanglement
• Quantifying measurement incompatibility of mutually unbiased bases
• Asymptotically optimal data analysis for rejecting local realism
• Incompatibility robustness of quantum measurements: a unified framework
• Quantum measurement incompatibility does not imply Bell nonlocality
• Measurement incompatibility does not give rise to Bell violation in general
• Experimental Realization of Device-Independent Quantum Randomness Expansion
• Experimental Low-Latency Device-Independent Quantum Randomness
• The Link between Entropic Uncertainty and Nonlocality
• Challenging preconceptions about Bell tests with photon pairs
• Device-independent quantum key distribution with arbitrarily small nonlocality
• Device-independent Certification of One-shot Distillable Entanglement
• Exploring the framework of assemblage moment matrices and its applications in device-independent characterizations
• Device-independent quantification of measurement incompatibility
• Quantum measurement incompatibility in subspaces
• Interplay among entanglement, measurement incompatibility, and nonlocality
• Certifying measurement incompatibility in prepare-and-measure and Bell scenarios