Hierarchical certification of nonclassical network correlations
arXiv:2306.15717 · doi:10.1103/PhysRevA.110.022617
Abstract
With the increased availability of quantum technological devices, it becomes more important to have tools to guarantee their correct nonclassical behavior. This is especially important for quantum networks, which constitute the platforms where multipartite cryptographic protocols will be implemented, and where guarantees of nonclassicality translate into security proofs. We derive linear and nonlinear Bell-like inequalities for networks, whose violation certifies the absence of a minimum number of classical sources in them. We do so, first, without assuming that nature is ultimately governed by quantum mechanics, providing a hierarchy interpolating between network nonlocality and full network nonlocality. Second we insert this assumption, which leads to results more amenable to certification in experiments.
13+3 pages, 4 figures, RevTex 4.2. V4: published version
References in corpus (40)
- The Quantum Internet
- Bell nonlocality
- Device-independent security of quantum cryptography against collective attacks
- Random Numbers Certified by Bell's Theorem
- Bell-type inequalities to detect true n-body non-separability
- Characterizing the nonlocal correlations of particles that never interacted
- Bilocal versus non-bilocal correlations in entanglement swapping experiments
- Beyond Bell's Theorem: Correlation Scenarios
- Entanglement Percolation in Quantum Networks
- Quantum theory based on real numbers can be experimentally falsified
- The definition of multipartite nonlocality
- Quantum common causes and quantum causal models
- An operational framework for nonlocality
- Genuine quantum nonlocality in the triangle network
- Information-Theoretic Implications of Quantum Causal Structures
- Nonlocal correlations in the star-network configuration
- Polynomial Bell inequalities
- Nonlinear Bell inequalities tailored for quantum networks
- Do all pure entangled states violate Bell's inequalities for correlation functions?
- Computationally Efficient Nonlinear Bell Inequalities for General Quantum Networks
- All entangled pure quantum states violate the bilocality inequality
- Experimental demonstration of non-bilocal quantum correlations
- Bilocal Bell inequalities violated by the quantum Elegant Joint Measurement
- Constraints on nonlocality in networks from no-signaling and independence
- Towards device-independent information processing on general quantum networks
- Semidefinite tests for quantum network topologies
- Quantum Inflation: A General Approach to Quantum Causal Compatibility
- Anonymous Quantum Conference Key Agreement
- Entanglement swapping and quantum correlations via Elegant Joint Measurements
- Classical simulation of entanglement swapping with bounded communication
- Bounding the sets of classical and quantum correlations in networks
- Conference key agreement in a quantum network
- Device-Independent Secret Sharing and a Stronger Form of Bell Nonlocality
- Single-photon nonlocality in quantum networks
- Self-testing of physical theories, or, is quantum theory optimal with respect to some information-processing task?
- Certification of non-classicality in all links of a photonic star network without assuming quantum mechanics
- Experimental full network nonlocality with independent sources and strict locality constraints
- Towards a minimal example of quantum nonlocality without inputs
- Inflation: a Python library for classical and quantum causal compatibility
- Post-quantum nonlocality in the minimal triangle scenario