Maximal qubit violation of n-local inequalities in quantum network

Abstract

Source independent quantum networks are considered as a natural generalization to the Bell scenario where we investigate the nonlocal properties of quantum states distributed and measured in a network. Considering the simplest network of entanglement swapping, recently Gisin et. al. and Andreoli et. al. independently provided a systematic characterization of the set of quantum states leading to violation of the so-called 'bilocality' inequality. In this work, we consider the complexities in the quantum networks with an arbitrary number of parties distributed in chain-shaped and star-shaped networks. We derive the maximal violation of the 'n-local' inequality that can be achieved by arbitrary two-qubit states for such chain and star-shaped networks. This would further provide us deeper understanding of quantum correlations in complex structures.

arXiv comment9 pages, 5 figures, revtex, comments welcome

References in corpus (14)

• Quantum entanglement
• Bell nonlocality
• Bell inequalities for arbitrarily high dimensional systems
• All multipartite Bell correlation inequalities for two dichotomic observables per site
• A Relevant Two Qubit Bell Inequality Inequivalent to the CHSH Inequality
• Characterizing the nonlocal correlations of particles that never interacted
• Bilocal versus non-bilocal correlations in entanglement swapping experiments
• Nonlocal correlations in the star-network configuration
• Nonlinear Bell inequalities tailored for quantum networks
• All entangled pure quantum states violate the bilocality inequality
• Maximal violation of n-locality inequalities in a star-shaped quantum network
• Causal hierarchy of multipartite Bell nonlocality
• Correlations In n-local Scenario
• Nonlocality in sequential correlation scenarios

Cited by in corpus (17)

• Generalized $n$-locality inequalities in star-network configuration and their optimal quantum violations
• Characterizing nonlocal correlations through various $n$-locality inequlities in quantum network
• Sharing nonlocality in quantum network by unbounded sequential observers
• Variational Quantum Optimization of Nonlocality in Noisy Quantum Networks
• Persistency of non-n-local correlations in noisy linear networks
• Creating quantum correlations in generalized entanglement swapping
• Detecting Nontrilocal Correlations In Triangle Networks
• Regarding the Maximal Qubit Violations of n-Locality in Star and Chain Networks
• Hidden Non n-locality In Linear Networks
• Generalized $n$-locality inequalities in linear-chain network for arbitrary inputs scenario and their quantum violations
• Detection of Network and Genuine Network Quantum Steering
• $(n,m,p)$-type quantum network configuration and its nonlocality
• Sharing nonlocality in a network using the quantum violation of chain network inequality
• Optimal quantum violations of n-locality inequalities with conditional dependence on inputs
• Nonlocal correlations in an asymmetric quantum network
• Entanglement of Assistance as a measure of multiparty entanglement
• Nonlocality in Continuous-Variable Quantum Networks