Persistency of entanglement and nonlocality in multipartite quantum systems

Abstract

The behaviour under particle loss of entanglement and nonlocality is investigated in multipartite quantum systems. In particular, we define a notion of persistency of nonlocality, which leads to device-independent tests of persistent entanglement. We investigate the persistency of various classes of multipartite quantum states, exhibiting a variety of different behaviours. A particular attention is devoted to states featuring maximal persistency. Finally we discuss a link between the symmetry of a state and its persistency, illustrating the fact that too much symmetry reduces the strength of correlations among subsystems. These ideas also lead to a device-independent estimation of the asymmetry of a quantum state.

arXiv comment7 pages, 1 figure. Minor changes

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Cited by in corpus (20)

• Bell nonlocality
• Quantum Internet Protocol Stack: a Comprehensive Survey
• Causal hierarchy of multipartite Bell nonlocality
• Two-way communication with a single quantum particle
• Characterizing finite-dimensional quantum behavior
• Energy as a detector of nonlocality of many-body spin systems
• Nonlocality of $W$ and Dicke states subject to losses
• Nonlocality and Entanglement for Symmetric States
• Persistency of non-n-local correlations in noisy linear networks
• Bounds on quantum nonlocality via partial transposition
• Bounding the persistency of the nonlocality of W states
• Entanglement-Based Artificial Topology: Neighboring Remote Network Nodes
• Closing the detection loophole in multipartite Bell experiments with a limited number of efficient detectors
• Persistency of Genuine Correlations Under Particle Loss
• Fate of multiparticle entanglement when one particle becomes classical
• Nonlocality of Quantum States can be Transitive
• Deterministic construction of arbitrary $W$ states with quadratically increasing number of two-qubit gates
• Robustness of Bell Violation of Graph States to Qubit Loss
• Conditional steering under von-Neumann scenario
• Cyclic Einstein-Podolsky-Rosen Steering