Quantum nonlocality in networks can be demonstrated with an arbitrarily small level of independence between the sources

Abstract

Quantum nonlocality can be observed in networks even in the case where every party can only perform a single measurement, i.e. does not receive any input. So far, this effect has been demonstrated under the assumption that all sources in the network are fully independent from each other. Here we investigate to what extent this independence assumption can be relaxed. After formalizing the question, we show that, in the triangle network without inputs, quantum nonlocality can be observed, even when assuming only an arbitrarily small level of independence between the sources. This means that quantum predictions cannot be reproduced by a local model unless the three sources can be perfectly correlated.

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Cited by in corpus (23)

• Bell nonlocality in networks
• Quantum networks self-test all entangled states
• Generalized $n$-locality inequalities in star-network configuration and their optimal quantum violations
• Characterizing nonlocal correlations through various $n$-locality inequlities in quantum network
• Experimental nonclassicality in a causal network without assuming freedom of choice
• Sharing nonlocality in quantum network by unbounded sequential observers
• Persistency of non-n-local correlations in noisy linear networks
• Detecting Nontrilocal Correlations In Triangle Networks
• Network quantum steering enables randomness certification without seed randomness
• Hidden Non n-locality In Linear Networks
• Topologically Robust Quantum Network Nonlocality
• Generalized $n$-locality inequalities in linear-chain network for arbitrary inputs scenario and their quantum violations
• Noise-robust proofs of quantum network nonlocality
• Verifying Hierarchic Multipartite and Network Nonlocalities with a Unified Method
• Quantum nonlocality in presence of strong measurement dependence
• Sharing nonlocality in a network using the quantum violation of chain network inequality
• Nonlocal correlations in an asymmetric quantum network
• Optimal quantum violations of n-locality inequalities with conditional dependence on inputs
• Experimental quantum triangle network nonlocality with an AlGaAs multiplexed entangled photon source
• Causal Networks and Freedom of Choice in Bell's Theorem
• Quantum non-classicality in the simplest causal network
• Genuine network quantum nonlocality and self-testing
• Simultaneous All-versus-Nothing Refutation of Local Realism and Noncontextuality by a Single System