$(n,m,p)$-type quantum network configuration and its nonlocality

Abstract

A quantum network shared entangled sources among distant nodes enables us to distribute entanglement along the network by suitable measurements. Network nonlocality means that it does not admit a network model involving local variables emitted from independent sources. In this work, we construct an $(n,m,p)$-type quantum network configuration and then derive the corresponding $n$-local correlation inequalities based on the assumption of independent sources. As a universal acyclic network configuration, it can cover most of the existing network models, such as the typical chain-network and star-network, and admit both centerless and asymmetric configurations. Then we demonstrate the non-$n$-locality of the present network by calculating the violation of the $n$-local inequality with bipartite entangled sources and Pauli measurements.

7 pages, 2 figures

References in corpus (28)

• Quantum entanglement
• Bell nonlocality
• From Bell's Theorem to Secure Quantum Key Distribution
• Non-locality and Communication Complexity
• Characterizing the nonlocal correlations of particles that never interacted
• Bilocal versus non-bilocal correlations in entanglement swapping experiments
• Beyond Bell's Theorem: Correlation Scenarios
• Quantum Communication between N partners and Bell's inequalities
• Quantum theory based on real numbers can be experimentally falsified
• Genuine quantum nonlocality in the triangle network
• Nonlocal correlations in the star-network configuration
• Genuine Network Multipartite Entanglement
• On the permutationally invariant part of a density matrix and nonseparability of N-qubit states
• Computationally Efficient Nonlinear Bell Inequalities for General Quantum Networks
• Maximal violation of n-locality inequalities in a star-shaped quantum network
• Correlations in star networks: from Bell inequalities to network inequalities
• Correlations In n-local Scenario
• Quantum networks self-test all entangled states
• Maximal qubit violation of n-local inequalities in quantum network
• Generalized $n$-locality inequalities in star-network configuration and their optimal quantum violations
• Network nonlocality sharing via weak measurements in the extended bilocal scenario
• Persistency of non-n-local correlations in noisy linear networks
• Detecting Nontrilocal Correlations In Triangle Networks
• Regarding the Maximal Qubit Violations of n-Locality in Star and Chain Networks
• Proposals for ruling out the real quantum theories in an entanglement-swapping quantum network with causally independent sources
• Hidden Non n-locality In Linear Networks
• Violation of generalized Bell inequality and its optimal measurement settings
• Optimal quantum violations of n-locality inequalities with conditional dependence on inputs