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Bell nonlocality

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arxiv 1303.2849 v3 pith:4O2PSFA4 submitted 2013-03-12 quant-ph

Bell nonlocality

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keywords quantumtheorybellinformationnonlocalitybeendevelopmentsreview
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Bell's 1964 theorem, which states that the predictions of quantum theory cannot be accounted for by any local theory, represents one of the most profound developments in the foundations of physics. In the last two decades, Bell's theorem has been a central theme of research from a variety of perspectives, mainly motivated by quantum information science, where the nonlocality of quantum theory underpins many of the advantages afforded by a quantum processing of information. The focus of this review is to a large extent oriented by these later developments. We review the main concepts and tools which have been developed to describe and study the nonlocality of quantum theory, and which have raised this topic to the status of a full sub-field of quantum information science.

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Cited by 14 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The minimal example of quantum network Bell nonlocality

    quant-ph 2026-05 unverdicted novelty 8.0

    Quantum nonlocality is possible in the triangle network with no inputs and binary outputs, which is the smallest such scenario by number of variables and outcomes.

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    Noise-adaptive encoding and decoding in entanglement-based SDC, LM05, and two-way BB84 protocols improve secret key rates over fixed strategies for some noise classes but provide no benefit for Pauli channels, derived...

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    Non-maximally entangled states exhibit full nonlocality under simple Schmidt coefficient conditions, and all pure entangled states can be activated to full nonlocality with multiple copies.

  4. Bell nonlocality and entanglement in $\chi_{cJ}$ decays into baryon pair

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    Chi_c0 decays exhibit maximal Bell violation and entanglement, chi_c1 shows angle-modulated violation, and chi_c2 baryon pairs are separable with no violation.

  5. Can outcome communication explain Bell nonlocality?

    quant-ph 2025-10 unverdicted novelty 7.0

    For any qubit-qudit state under all projective measurements, an LHV model with outcome communication exists if and only if a standard LHV model without communication exists.

  6. Local models and Bell inequalities for the minimal triangle network

    quant-ph 2025-03 unverdicted novelty 7.0

    Exhaustive search yields conjectured tight Bell inequalities defining the local set for symmetric binary-outcome triangle networks, together with outer approximations used to probe the classical-quantum gap.

  7. An Operational Framework for Nonclassicality in Quantum Communication Networks

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    A variational optimization framework computes linear classical bounds on network input/output probabilities whose violation certifies nonclassicality, finding entanglement necessary for nonclassicality in single-sende...

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    Non-adaptive non-signaling assistance simulates quantum communication in PM scenarios with a classical dit replacing a qudit, while adaptive NS advantages are confined to single-setting receiver cases.

  9. Time Evolution on Hybrid Tensor Networks -- A Novel and Parallelizable Algorithm

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    Introduces a parallelizable hybrid tensor network algorithm for time-evolving matrix product states that combines classical BUG integration with quantum methods without synchronization barriers.

  10. Generalized measurement incompatibility

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    Generalized partial joint-measurability of quantum measurements is equivalent to perfect classical guessing by an adversary with side information and is decidable via a single semidefinite program, producing analytica...

  11. Are free choices absolute, when internalized in Wigner's friend?

    quant-ph 2026-05 unverdicted novelty 6.0

    Free choices lack absoluteness in an extended Wigner's friend scenario based on the Pusey-Barrett-Rudolph theorem under locality.

  12. High-Precision Variational Quantum SVD via Classical Orthogonality Correction

    quant-ph 2026-05 unverdicted novelty 6.0

    A variational quantum SVD framework with classical orthogonality correction enables high-precision extraction of Schmidt components from bipartite states using shallow circuits and classical tensor-network post-processing.

  13. Security of deterministic key distribution with higher-dimensional systems

    quant-ph 2025-05 unverdicted novelty 5.0

    Higher-dimensional two-way QKD protocols using mutually unbiased bases and Heisenberg-Weyl operators yield secret keys for stronger individual attacks and improved robustness to collective eavesdropping via entropic u...

  14. Entanglement Certification $-$ From Theory to Experiment

    quant-ph 2019-06 unverdicted

    Reviews paradigmatic entanglement quantifiers and state-of-the-art detection/certification methods, with emphasis on assumptions about states and measurements.