Quantum Zeno Effect on Genuine Tripartite Nonlocality and Entanglement in Quantum Dissipative System

Abstract

As a precious global resource in quantum information, genuine tripartite nonlocality(GTN) can be quantified by violating Svetlichny inequality. However, there is still no analytical expression for the general three-qubit states due to the difficulty of theoretical calculations. In this paper, we achieve highly accurate quantization of GTN for arbitrary three-qubit quantum states numerically. As an example, we study the dynamics of GTN and genuine tripartite entanglement(GTE) for the W state. Moreover, the complementarity of GTN is verified by examining the nonlocality between the tripartite and the bipartite. Finally, we also find a useful strategy to protect the correlation of GTN and GTE under decoherence by utilizing the Zeno effect.

arXiv comment7 pages, 7 figures

References in corpus (39)

• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Bell nonlocality
• Distributed Entanglement
• The logarithmic negativity: A full entanglement monotone that is not convex
• Quantum Computing Using Dissipation to Remain in a Decoherence-Free Subspace
• Protecting entanglement via the quantum Zeno effect
• Generation of Three-Qubit Entangled States using Superconducting Phase Qubits
• From the quantum Zeno to the inverse quantum Zeno effect
• Monogamy Inequality in terms of Negativity for Three-Qubit States
• Maximally Non-Local and Monogamous Quantum Correlations
• Monogamy of nonlocal quantum correlations
• Cosmic Bell Test: Measurement Settings from Milky Way Stars
• Continuous-variable quantum key distribution system: past, present, and future
• Direct generation of three-photon polarization entanglement
• Genuinely Multipartite Concurrence of N-qubit X-matrices
• Device-independent randomness expansion against quantum side information
• A Triangle Governs Genuine Tripartite Entanglement
• Deterministic generation of large cluster states using non-deterministic collective measurements based on quantum Zeno effect
• Device-independent Randomness Expansion with Entangled Photons
• Tripartite entanglement versus tripartite nonlocality in 3-qubit GHZ-class states
• Temporal behavior and quantum Zeno time of an excited state of the hydrogen atom
• Tetrapartite entanglement measures of W-Class in noninertial frames
• Genuine tripartite nonlocality and entanglement in curved spacetime
• Experimental Realization of Device-Independent Quantum Randomness Expansion
• Off-resonant entanglement generation in a lossy cavity
• Disentanglement, Bell-nonlocality violation and teleportation capacity of the decaying tripartite states
• Svetlichny's inequality and genuine tripartite nonlocality in three-qubit pure states
• Geometric mean of bipartite concurrences as a genuine multipartite entanglement measure
• Genuine multipartite entanglement measure
• Quantum Zeno and anti-Zeno effects on quantum and classical correlations
• Quantum Zeno and Anti-Zeno Effects on the Entanglement Dynamics of Qubits Dissipating into a Common and non-Markovian Environment
• Transitionless-based shortcuts for the fast and robust generation of W states
• Generation of genuine tripartite entanglement for continuous variables in de Sitter space
• Tight upper bound for the maximal quantum value of the Svetlichny operators
• Entanglement as upper bounded for the nonlocality of a general two-qubit system
• Quantum Zeno and anti-Zeno effects in open quantum systems
• Experimental demonstration of genuine tripartite nonlocality under strict locality conditions
• Complementarity of genuine multipartite non-locality
• Interplay of nonlocality and incompatibility breaking qubit channels