Sharing of tripartite nonlocality by multiple observers measuring sequentially at one side

Abstract

Standard tripartite nonlocality and genuine tripartite nonlocality can be detected by the violations of Mermin inequality and Svetlichny inequality, respectively. Since tripartite quantum nonlocality has novel applications in quantum information and quantum computation, it is important to investigate whether more than three observers can share tripartite nonlocality, simultaneously. In the present study we answer this question in the affirmative. In particular, we consider a scenario where three spin-$\frac{1}{2}$ particles are spatially separated and shared between Alice, Bob and multiple Charlies. Alice performs measurements on the first particle; Bob performs measurements on the second particle and multiple Charlies perform measurements on the third particle sequentially. In this scenario we investigate how many Charlies can simultaneously demonstrate standard tripartite nonlocality and genuine tripartite nonlocality with single Alice and single Bob. The interesting result revealed by the present study is that at most six Charlies can simultaneously demonstrate standard tripartite nonlocality with single Alice and single Bob. On the other hand, at most two Charlies can simultaneously demonstrate genuine tripartite nonlocality with single Alice and single Bob. Hence, the present study shows that standard tripartite nonlocality can be simultaneously shared by larger number of Charlies compared to genuine tripartite nonlocality in the aforementioned scenario, which implies that standard tripartite nonlocality is more effective than genuine tripartite nonlocality in the context of simultaneous sharing by multiple observers.

arXiv commentClose to published version. arXiv admin note: text overlap with arXiv:1811.04813

References in corpus (43)

• Quantum entanglement
• Quantum Cryptography
• The Security of Practical Quantum Key Distribution
• Three qubits can be entangled in two inequivalent ways
• Distributed Entanglement
• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Multi-party entanglement in graph states
• Observation of three-photon Greenberger-Horne-Zeilinger entanglement
• Bell inequalities for arbitrarily high dimensional systems
• Experimental entanglement of six photons in graph states
• Non-locality and Communication Complexity
• Fisher information and multiparticle entanglement
• Multipartite entanglement and high precision metrology
• Entanglement, EPR-correlations, Bell-nonlocality, and Steering
• Entanglement and Extreme Spin Squeezing
• Quantum steering: a review with focus on semidefinite programming
• Certified randomness in quantum physics
• Bell-type inequalities to detect true n-body non-separability
• Genuine multipartite Einstein-Podolsky-Rosen steering
• Quantum Communication between N partners and Bell's inequalities
• The definition of multipartite nonlocality
• Bell-type inequalities for partial separability in N-particle systems and quantum mechanical violations
• Multiple Observers Can Share the Nonlocality of Half of an Entangled Pair by Using Optimal Weak Measurements
• Non-Local Advantage of Quantum Coherence
• NMR GHZ
• Monogamy inequalities for the EPR paradox and quantum steering
• Experimental violation of Svetlichny's inequality
• Partial separability and entanglement criteria for multiqubit quantum states
• Tripartite entanglement versus tripartite nonlocality in 3-qubit GHZ-class states
• Steering a single system sequentially by multiple observers
• Witnessing entanglement sequentially: Maximally entangled states are not special
• Three-observer Bell inequality violation on a two-qubit entangled state
• Sharing of Non-Local Advantage of Quantum Coherence by sequential observers
• Experimental Demonstration of Greenberger-Horne-Zeilinger Correlations Using Nuclear Magnetic Resonance
• Svetlichny's inequality and genuine tripartite nonlocality in three-qubit pure states
• Monogamy of Bell correlations and Tsirelson's bound
• Tripartite entanglement detection through tripartite quantum steering in one-sided and two-sided device-independent scenarios
• Detection of N-particle entanglement with generalized Bell inequalities
• Parts and Wholes. An Inquiry into Quantum and Classical Correlations
• Bipartite qutrit local realist inequalities and the robustness of their quantum mechanical violation
• Observation of Nonlocality Sharing among Three Observers with One Entangled Pair via Optimal Weak Measurement
• Necessary and sufficient state condition for two-qubit steering using two measurement settings per party and monogamy of steering
• Bell inequalities: many questions, a few answers

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