Network nonlocality sharing via weak measurements in the extended bilocal scenario

Abstract

Quantum network correlations have attracted strong interest as the emergency of the new types of violations of locality. Here we investigated network nonlocal sharing in the extended bilocal scenario via weak measurements. Interestingly, network nonlocal sharing can be revealed from the multiple violation of BRGP inequalities of any Alice_{n}-Bob-Charlie_{m}, which has no counterpart in the case of Bell nonlocal sharing scenario. Such discrepancy may imply an intrinsic difference between network nonlocality and Bell nonlocality. Passive and active network nonlocal sharing as two distinct types of nonlocality sharing have been completely analyzed. In addition, noise resistance of network nonlocal sharing were also discussed.

References in corpus (27)

• Device-independent security of quantum cryptography against collective attacks
• Random Numbers Certified by Bell's Theorem
• Bell inequalities for arbitrarily high dimensional systems
• Bell's theorem for general N-qubit states
• Private Randomness Expansion With Untrusted Devices
• 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 theory based on real numbers can be experimentally falsified
• Multiple Observers Can Share the Nonlocality of Half of an Entangled Pair by Using Optimal Weak Measurements
• No quantum advantage for nonlocal computation
• Genuine quantum nonlocality in the triangle network
• The Inflation Technique for Causal Inference with Latent Variables
• Arbitrarily many independent observers can share the nonlocality of a single maximally entangled qubit pair
• All entangled pure quantum states violate the bilocality inequality
• Bilocal Bell inequalities violated by the quantum Elegant Joint Measurement
• Three-observer Bell inequality violation on a two-qubit entangled state
• Many-body nonlocality as a resource for quantum-enhanced metrology
• Experimental characterisation of unsharp qubit observables and sequential measurement incompatibility via quantum random access codes
• Facets of bipartite nonlocality sharing by multiple observers via sequential measurements
• Sharing non-locality and non-trivial preparation contextuality using same family of Bell expressions
• Limitations on sharing Bell nonlocality between sequential pairs of observers
• Observation of nonlocality sharing via not-so-weak measurements
• Experimental Demonstration of Sequential Quantum Random Access Codes
• Einstein-Podolsky-Rosen Steering in Two-sided Sequential Measurements with One Entangled Pair
• Noise-robust preparation contextuality shared between any number of observers via unsharp measurements
• Nonlocality as a Benchmark for Universal Quantum Computation in Ising Anyon Topological Quantum Computers

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• Non-locality sharing for a three-qubit system via multilateral sequential measurements
• Sequential sharing of two-qudit entanglement based on the entropic uncertainty relation
• 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
• Sharing Quantum Nonlocality in Star Network Scenarios
• Limits of network nonlocality probed by time-like separated observers
• $(n,m,p)$-type quantum network configuration and its nonlocality
• Sharing nonlocality in a network using the quantum violation of chain network inequality