Nonlocality of all quantum networks

2018/06/26 by M. X. Luo, Ming-Xing Luo
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Multipartite #Multipartite entanglement #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum network #Quantum nonlocality #Quantum state #Quantum teleportation #Squashed entanglement #W state #quant-ph

paper · pdf · doi:10.1103/physreva.98.042317

published as Phys. Rev. A 98, 042317 (2018) · 26 pages,3+8 figures

arxiv created 2018/06/26 · openalex publication_date 2018/10/12 · arxiv updated 2018/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The multipartite correlations derived from local measurements on some composite quantum systems are inconsistent with those reproduced classically. This inconsistency is known as the quantum nonlocality and shows a milestone in the foundations of quantum theory. Still, it is NP hard to decide a nonlocal quantum state. We investigate an extended question as to how to characterize the nonlocal properties of quantum states that are distributed and measured in networks. We first prove the generic tripartite nonlocality of chain-shaped quantum networks using semiquantum nonlocal games. We then introduce an approach to prove the generic activated nonlocality as a result of entanglement swapping for all the bipartite entangled states. The result is further applied to show the multipartite nonlocality and activated nonlocality for all the nontrivial quantum networks consisting of any entangled states. Our results provide the nonlocality witnesses and quantum superiorities of all the connected quantum networks or nontrivial hybrid networks in contrast to classical networks.

Citations

• All Bipartite Entangled States Are Useful for Information Processing
• Quantum mechanics, local realistic theories, and Lorentz-invariant realistic theories
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Quantum cloning, eavesdropping and Bell's inequality [Physics Letters A 228 (1997) 13]
• Characterizing the nonlocal correlations of particles that never interacted
• An elementary quantum network of single atoms in optical cavities
• From Bell’s Theorem to Secure Quantum Key Distribution
• Device-Independent Security of Quantum Cryptography against Collective Attacks
• Entanglement verification and steering when Alice and Bob cannot be trusted
• Quantum cryptography based on Bell’s theorem
• Gisin’s Theorem for Arbitrary Dimensional Multipartite States
• Bell-Type Inequalities for Partial Separability inN-Particle Systems and Quantum Mechanical Violations
• Long-distance quantum communication with atomic ensembles and linear optics
• On the Einstein Podolsky Rosen paradox
• Minimum detection efficiency for a loophole-free atom-photon Bell experiment
• Causal structures from entropic information: geometry and novel scenarios
• Satellite-based entanglement distribution over 1200 kilometers
• Machine Learning Detection of Bell Nonlocality in Quantum Many-Body Systems
• Typical Werner states satisfying all linear Bell inequalities with dichotomic measurements
• Quantum entanglement
• Bell nonlocality