All entangled pure quantum states violate the bilocality inequality

Abstract

The nature of quantum correlations in networks featuring independent sources of entanglement remains poorly understood. Here, focusing on the simplest network of entanglement swapping, we start a systematic characterization of the set of quantum states leading to violation of the so-called "bilocality" inequality. First, we show that all possible pairs of entangled pure states can violate the inequality. Next, we derive a general criterion for violation for arbitrary pairs of mixed two-qubit states. Notably, this reveals a strong connection between the CHSH Bell inequality and the bilocality inequality, namely that any entangled state violating CHSH also violates the bilocality inequality. We conclude with a list of open questions.

References in corpus (12)

• The Quantum Internet
• Device-independent security of quantum cryptography against collective attacks
• Beyond Bell's Theorem: Correlation Scenarios
• Nonlocal correlations in the star-network configuration
• Theory-independent limits on correlations from generalised Bayesian networks
• More efficient Bell inequalities for Werner states
• Better local hidden variable models for two-qubit Werner states and an upper bound on the Grothendieck constant $K_G(3)$
• Experimental demonstration of non-bilocal quantum correlations
• Experimental non-locality in a quantum network
• Classical simulation of entanglement swapping with bounded communication
• Correlations in star networks: from Bell inequalities to network inequalities
• Nonlocality activation in entanglement swapping chains

Cited by in corpus (42)

• Bell nonlocality in networks
• Computationally Efficient Nonlinear Bell Inequalities for General Quantum Networks
• Entanglement 25 years after Quantum Teleportation: testing joint measurements in quantum networks
• Full network nonlocality
• Bilocal Bell inequalities violated by the quantum Elegant Joint Measurement
• Maximal violation of n-locality inequalities in a star-shaped quantum network
• Genuine multipartite nonlocality is intrinsic to quantum networks
• Entanglement swapping and quantum correlations via Elegant Joint Measurements
• Maximal qubit violation of n-local inequalities in quantum network
• Nonlocality for Generic Networks
• Proofs of network quantum nonlocality in continuous families of distributions
• Generalized $n$-locality inequalities in star-network configuration and their optimal quantum violations
• Test of Genuine Multipartite Nonlocality
• Nonlocality of All Quantum Networks
• Characterizing Quantum Correlations In Fixed Input $n$-Local Network Scenario
• Characterizing nonlocal correlations through various $n$-locality inequlities in quantum network
• Network nonlocality sharing via weak measurements in the extended bilocal scenario
• Sharing nonlocality in quantum network by unbounded sequential observers
• Network Nonlocality via Rigidity of Token-Counting and Color-Matching
• Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
• Preservation of quantum non-bilocal correlations in noisy entanglement-swapping experiments using weak measurements
• Variational Quantum Optimization of Nonlocality in Noisy Quantum Networks
• Quantum violation of local causality in urban network with hybrid photonic technologies
• Network nonlocality sharing via weak measurements in the generalized star network configuration
• Sharing Quantum Nonlocality in Star Network Scenarios
• Persistency of non-n-local correlations in noisy linear networks
• Hierarchical certification of nonclassical network correlations
• Detecting Nontrilocal Correlations In Triangle Networks
• Regarding the Maximal Qubit Violations of n-Locality in Star and Chain Networks
• Creating quantum correlations in generalized entanglement swapping
• Hidden Non n-locality In Linear Networks
• Detection of Network and Genuine Network Quantum Steering
• Generalized $n$-locality inequalities in linear-chain network for arbitrary inputs scenario and their quantum violations
• Limits of network nonlocality probed by time-like separated observers
• Note on Product-Form Monogamy Relations for Nonlocality and Other Correlation Measures
• Verifying Hierarchic Multipartite and Network Nonlocalities with a Unified Method
• Nonlocal correlations in an asymmetric quantum network
• Optimal quantum violations of n-locality inequalities with conditional dependence on inputs
• Characterizing nonbilocal correlation: A geometric perspective
• Characterizing nonclassical correlations of tensorizing states in a bilocal scenario
• Quantifying measurement-induced nonbilocal correlation
• Nonlocality in Continuous-Variable Quantum Networks