Characterizing Quantum Correlations In Fixed Input $n$-Local Network Scenario

Abstract

Contrary to Bell scenario, quantum nonlocality can be exploited even when all the parties do not have freedom to select inputs randomly. Such manifestation of nonlocality is possible in networks involving independent sources. One can utilize such a feature of quantum networks for purpose of entanglement detection of bipartite quantum states. In this context, we characterize correlations simulated in networks involving finite number of sources generating quantum states when some parties perform fixed measurement. Beyond bipartite entanglement, we enquire the same for networks involving sources now generating pure tripartite quantum states. Interestingly, here also randomness in input selection is not necessary for every party to generate nonlocal correlation.

13 pages,3 figures, published in Physical Review A, version close to published version

References in corpus (22)

• Quantum entanglement
• Device-independent security of quantum cryptography against collective attacks
• Random Numbers Certified by Bell's Theorem
• No Signalling and Quantum Key Distribution
• From Bell's Theorem to Secure Quantum Key Distribution
• Generalized Schmidt decomposition and classification of three-quantum-bit states
• An experimental test of non-local realism
• Private Randomness Expansion With Untrusted Devices
• Characterizing the nonlocal correlations of particles that never interacted
• Bilocal versus non-bilocal correlations in entanglement swapping experiments
• Genuine quantum nonlocality in the triangle network
• Nonlocal correlations in the star-network configuration
• Bell nonlocality and Bayesian game theory
• Entanglement 25 years after Quantum Teleportation: testing joint measurements in quantum networks
• All entangled pure quantum states violate the bilocality inequality
• Causal Compatibility Inequalities Admitting Quantum Violations in the Triangle Structure
• Limits on correlations in networks for quantum and no-signaling resources
• Correlations In n-local Scenario
• Nontrilocality: Exploiting nonlocality from three particle systems
• Revealing Quantum Advantage in a Quantum Network
• Efficient Test to Demonstrate Genuine Three Particle Nonlocality
• The Elegant Joint Quantum Measurement and some conjectures about N-locality in the Triangle and other Configurations

Cited by in corpus (9)

• Bell nonlocality in networks
• Characterizing nonlocal correlations through various $n$-locality inequlities in quantum network
• Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
• Network nonlocality sharing via weak measurements in the generalized star network configuration
• Persistency of non-n-local correlations in noisy linear networks
• Detecting Nontrilocal Correlations In Triangle Networks
• Post-quantum nonlocality in the minimal triangle scenario
• Hidden Non n-locality In Linear Networks
• Optimal quantum violations of n-locality inequalities with conditional dependence on inputs