Sharing nonlocality in quantum network by unbounded sequential observers

Abstract

Of late, there has been an upsurge of interest in studying the sequential sharing of various forms of quantum correlations, viz., nonlocality, preparation contextuality, coherence, and entanglement. In this work, we explore the sequential sharing of nonlocality in a quantum network. We first consider the simplest case of the two-input bilocality scenario that features two independent sources and three parties, including two edge parties and a central party. We demonstrate that in the symmetric case when the sharing is considered for both the edge parties, the nonlocality can be shared by at most two sequential observers per edge party. However, in the asymmetric case, when the sharing across one edge party is considered, we show that at most, six sequential observers can share the nonlocality in the network. We extend our investigation to the two-input $n$-local scenario in the star-network configuration that features an arbitrary $n$ number of edge parties and one central party. In the asymmetric case, we demonstrate that the network nonlocality can be shared by an unbounded number of sequential observers across one edge party for a suitably large value of $n$. Further, we generalize our study for an arbitrary $m$ input $n$-local scenario in the star-network configuration. We show that even for an arbitrary $m$ input scenario, the nonlocality can be shared by an unbounded number of sequential observers. However, increasing the input $m$, one has to employ more number of edge parties $n$ than that of the two-input case to demonstrate the sharing of an unbounded number of sequential observers.

References in corpus (59)

• Device-independent security of quantum cryptography against collective attacks
• Random Numbers Certified by Bell's Theorem
• From Bell's Theorem to Secure Quantum Key Distribution
• Private Randomness Expansion With Untrusted Devices
• Device-independent tests of classical and quantum dimensions
• Semi-device-independent security of one-way quantum key distribution
• Characterizing the nonlocal correlations of particles that never interacted
• Bilocal versus non-bilocal correlations in entanglement swapping experiments
• Quantum theory based on real numbers can be experimentally falsified
• Bell nonlocality in networks
• Multiple Observers Can Share the Nonlocality of Half of an Entangled Pair by Using Optimal Weak Measurements
• Full randomness from arbitrarily deterministic events
• Genuine quantum nonlocality in the triangle network
• A lower bound on the dimension of a quantum system given measured data
• Nonlocal correlations in the star-network configuration
• Unbounded randomness certification using sequences of measurements
• Optimal randomness certification from one entangled bit
• Nonlinear Bell inequalities tailored for quantum networks
• Dimension witnesses and quantum state discrimination
• Quantum networks reveal quantum nonlocality
• Experimental Device-independent Tests of Classical and Quantum Dimensions
• Testing real quantum theory in an optical quantum network
• Certifying the dimension of classical and quantum systems in a prepare-and-measure scenario with independent devices
• Arbitrarily many independent observers can share the nonlocality of a single maximally entangled qubit pair
• Device-independent certification of entangled measurements
• Computationally Efficient Nonlinear Bell Inequalities for General Quantum Networks
• All entangled pure quantum states violate the bilocality inequality
• Full network nonlocality
• Sequential random access codes and self-testing of quantum measurement instruments
• Experimental demonstration of non-bilocal quantum correlations
• Experimental non-locality in a quantum network
• Maximal violation of n-locality inequalities in a star-shaped quantum network
• Bilocal Bell inequalities violated by the quantum Elegant Joint Measurement
• Sharing of Non-Local Advantage of Quantum Coherence by sequential observers
• Unbounded sequence of observers exhibiting Einstein-Podolsky-Rosen steering
• Genuine multipartite nonlocality is intrinsic to quantum networks
• A neural network oracle for quantum nonlocality problems in networks
• Semi-device-independent self-testing of unsharp measurements
• Classical simulation of entanglement swapping with bounded communication
• Network Quantum Steering
• Bounding the sets of classical and quantum correlations in networks
• 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
• Sharing quantum nonlocality and genuine nonlocality with independent observables
• Correlations in star networks: from Bell inequalities to network inequalities
• Limitations on sharing Bell nonlocality between sequential pairs of observers
• Optimal quantum preparation contextuality in $n$-bit parity-oblivious multiplexing task
• Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
• Experimental bilocality violation without shared reference frames
• Quantum nonlocality in networks can be demonstrated with an arbitrarily small level of independence between the sources
• Quantum Correlations in Connected Multipartite Bell Experiments
• Maximal qubit violation of n-local inequalities in quantum network
• Nonlocality for Generic Networks
• Recycling qubits for the generation of Bell nonlocality between independent sequential observers
• Device-independent certification of Hilbert space dimension using a family of Bell expressions
• Generalized $n$-locality inequalities in star-network configuration and their optimal quantum violations
• Oblivious communication game, self-testing of projective and non-projective measurements and certification of randomness
• Characterizing nonlocal correlations through various $n$-locality inequlities in quantum network
• Non-Local Boxes for Networks

Cited by in corpus (7)

• 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
• Sharing Quantum Nonlocality in Star Network Scenarios
• Regarding the Maximal Qubit Violations of n-Locality in Star and Chain Networks
• Unmasking the Polygamous Nature of Quantum Nonlocality
• Sharing nonlocality in a network using the quantum violation of chain network inequality
• Security of Device-independent Quantum Key Distribution under Sequential Attack