Characterizing nonbilocal correlation: A geometric perspective
arXiv:2204.05170 · doi:10.1007/s11128-022-03561-2
Abstract
Exploiting the notion of measurement-induced nonlocality [Phys.Rev. Lett. 106, 120401 (2011)], we introduce a new measure to quantify the nonbilocal correlation. We establish a simple relation between the nonlocal and nonbilocal measures for the arbitrary pure input states. Considering the mixed states as inputs, we derive two upper bounds of affinity-based nonbilocal measure. Finally, we have studied the nonbilocality of a different combinations of input states.
arXiv commentComments are Welcome. 12 pages. arXiv admin note: text overlap with arXiv:2204.04048
References in corpus (27)
- Introducing Quantum Discord
- Necessary and sufficient condition for non-zero quantum discord
- Characterizing Nonclassical Correlations via Local Quantum Uncertainty
- The lesson of causal discovery algorithms for quantum correlations: Causal explanations of Bell-inequality violations require fine-tuning
- Characterizing the nonlocal correlations of particles that never interacted
- Quantum discord determines the interferometric power of quantum states
- The problem with the geometric discord
- Bilocal versus non-bilocal correlations in entanglement swapping experiments
- Beyond Bell's Theorem: Correlation Scenarios
- All Entangled Quantum States Are Nonlocal
- Theory-independent limits on correlations from generalised Bayesian networks
- Nonlocal correlations in the star-network configuration
- Super-activation of quantum non-locality
- Nonlinear Bell inequalities tailored for quantum networks
- Polynomial Bell inequalities
- All bipartite entangled states display some hidden nonlocality
- Noise robustness of the nonlocality of entangled quantum states
- Quantum networks reveal quantum nonlocality
- Beyond Bell's Theorem II: Scenarios with arbitrary causal structure
- All entangled pure quantum states violate the bilocality inequality
- Bell-type Inequalities for Arbitrary Non-Cyclic Networks
- Device-Independent Tests of Entropy
- Quantum Correlations in Connected Multipartite Bell Experiments
- Nonlocality tests enhanced by a third observer
- Quantum coherence and correlation measures based on affinity
- Affinity-based measurement-induced nonlocality and its robustness against noise
- Characterizing nonclassical correlation using affinity