Violating Bell inequality by mixed states: necessary and sufficient condition

On the Einstein Podolsky Rosen paradox

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Proposed Experiment to Test Local Hidden-Variable Theories

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Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model

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Quantum generalizations of Bell's inequality

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Bell's inequality holds for all non-product states

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Bell’s inequalities versus teleportation: What is nonlocality?

Popescu, S. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.797 · Cited by 537

Maximal violation of Bell inequalities for mixed states

Braunstein, S. L., Mann, A., & Revzen, M. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.3259 · Cited by 453

Generic quantum nonlocality

Popescu, S., & Rohrlich, D. (1992) · Physics Letters A · doi:10.1016/0375-9601(92)90711-t · Cited by 431

Maximal violation of Bell's inequality for arbitrarily large spin

Gisin, N., & Peres, A. (1992) · Physics Letters A · doi:10.1016/0375-9601(92)90949-m · Cited by 398

Quantum redundancies and local realism

Horodecki, R., & Horodecki, P. (1994) · Physics Letters A · doi:10.1016/0375-9601(94)91275-0 · Cited by 90

Fine-grained uncertainty relation for open quantum system*

Han, S.-B., Li, S., Zhang, J.-J., & Feng, J. M. (2021) · Chinese Physics B · doi:10.1088/1674-1056/abf3b5

Nonlocality with Three and More Parties

Bancal, J.-D. (2013) · Springer theses · doi:10.1007/978-3-319-01183-7_4

Characterizing quantum nonlocalities under the Heisenberg XYZ spin model with Dzyaloshinskii–Moriya interaction

Xing, L.-L., Yang, H., Xu, Z., Hu, X.-M., Li, Z.-B., Kong, M., & Zhang, G. (2022) · Laser Physics Letters · doi:10.1088/1612-202x/ac73fc

Preparation of quantum correlations assisted by a steering Maxwell demon

He, G.-G., & Zhang, F. (2022) · Physical review. E · doi:10.1103/physreve.106.014119

Dynamics of an Atomic System Associated with a Cavity-Optomechanical SystemPreprint

Khalil, E. M., & Abd‐Rabbou, M. Y. (2022) · SSRN Electronic Journal · doi:10.2139/ssrn.4053380

Two-Magnon Non-Locality and Coherence Induced by an Open Microwave Cavity: Generating and Robustness

Mohamed, A. ‐. A., & Eleuch, H. (2022) · Annalen der Physik · doi:10.1002/andp.202200184

Detection of the genuine non-locality of any three-qubit state

Garg, A., & Adhikari, S. (2023) · Annals of Physics · doi:10.1016/j.aop.2023.169400

Star network quantum steering

Zhang, H., Yang, S., & He, K. (2023) · Quantum Information Processing · doi:10.1007/s11128-023-04042-w

Synchronous observation of information loss generating among ions in a long-range Paul trap chain

Homid, A. H., Mohamed, A. A., & Abdel‐Aty, M. (2023) · Applied Physics B · doi:10.1007/s00340-023-08111-x

Broadcasting of non-locality

Patel, D., Roy, A., Chakrabarty, I., & Ganguly, N. (2024) · Pramana · doi:10.1007/s12043-024-02726-1

Fractional squashed entanglement and its efficiency

El-Hadidy, E. G., Anouz, K. E., & METWALLY, N. (2024) · Journal of the Optical Society of America B · doi:10.1364/josab.519282

Interpreting variational quantum models with active paths in parameterized quantum circuits

Lee, K., Jeon, H., Lee, D., Kim, B., Bang, J., & Kim, T. (2024) · Machine Learning Science and Technology · doi:10.1088/2632-2153/ad5412

Quantum non-local correlation testing of Werner state in non-Markovian environment

Jiang, S.-M., Jia, X.-Y., & Fan, D.-H. (2024) · Acta Physica Sinica · doi:10.7498/aps.73.20240450

Exploring Two‐Exciton Steerability and Nonlocality Dynamics in Two Open Microcavities Coupled by an Optical Fiber

Aldosari, F. M., & Hashem, M. (2024) · Annalen der Physik · doi:10.1002/andp.202400108

Quantum Obesity and Steering Ellipsoids for Fermionic Fields in Garfinkle-Horowitz-Strominger Dilation SpacetimePreprint

Elghaayda, S., Abd‐Rabbou, M. Y., & Mansour, M. (2024) · SSRN Electronic Journal · doi:10.2139/ssrn.5013278

Dynamics of Quantum Correlations in Coupled Double Quantum Dots with Intrinsic Decoherence

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Automated Bell inequality violation searches for estimating entanglement quality in fiber

Dowling, E., Baumgartner, G., Brewster, R. A., Morris, M. B., Richards, A. M., Roy, R., & Murphy, T. E. (2025) · APL Quantum · doi:10.1063/5.0239623

Nonlocal correlation dynamics of two qubits interacting with a cavity coherent field: time-dependent atomic location effects

Hashem, M., Aljuaydi, F., Rahman, A. U., & Mohamed, A. ‐. A. (2025) · Laser Physics Letters · doi:10.1088/1612-202x/adbd1d

Violation of Svetlichny’s inequality in a system of spins j

Xiang, Y., & Yuan, T. (2025) · Chinese Journal of Physics · doi:10.1016/j.cjph.2025.04.017

Topological tenfold classification and the entanglement of two qubits

Orion, N., & Akkermans, E. (2025) · Physical review. B./Physical review. B · doi:10.1103/physrevb.111.245408

High-spin measurements in an arbitrary two-qudit state

Loubenets, E. R., & Hanotel, L. (2025) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/ade4e8

Nonlocality in quantum cloning states

Liu, J., & Mo, Z. (2025) · Scientific Reports · doi:10.1038/s41598-025-06140-4

Decoherence of steerability and coherence dynamics induced by nonlinear qubit–cavity interactions

Mohamed, A. A., & Alsahli, A. M. (2025) · Open Physics · doi:10.1515/phys-2025-0168

Quantum coherence and Leggett-Garg inequality

Jalal, A., Fazeli, S. M., & Ettefaghi, M. M. (2026) · Annals of Physics · doi:10.1016/j.aop.2026.170583

Almost-Commutative Geometry and the Higgs field: a Concrete Proposal for Physically Testing its Unique ConsequencesPreprint

Ascarate, A. (2025) · SSRN Electronic Journal · doi:10.2139/ssrn.5422027

Unbounded-input explicit Bell inequalities for general quantum networks

Xiao, Y., Guo, F.-Z., Dong, H., Qin, S., & Gao, F. (2026) · Physical Review Research · doi:10.1103/w2yy-mhp3

Incompatibility of optimized protection of entanglement and teleportation fidelity in the presence of decoherence

Chowdhury, P. (2025) · International Journal of Quantum Information · doi:10.1142/s0219749925500327

Nonlocality under Jaynes-Cummings evolution: Beyond pseudospin operators

Bernal, A., Casas, J. A., & Moreno, J. M. (2025) · Physical Review A · doi:10.1103/m248-tz9x

Gauge and diffeomorphism invariance from quantum information principles

Núñez, C., Pardina, M., Asorey, M., Latorre, J. I., & Cervera-Lierta, A. (2026) · Physical review. D/Physical review. D. · doi:10.1103/4gyj-l8bj

Probe of generic quantum contextuality and nonlocality resources for qubits

Li, W., Min-xuan, Z., Shi, Y., Wang, Z. D., Fan, H., & Bai, Y.-K. (2026) · Physical Review A · doi:10.1103/jmf4-wwwz

The enhancement of quantum steering weight and nonlocality of a non-Markovian dissipative systems

Li, X., Xiao, Y., Li, Y., & He, Q.-L. (2025) · Laser Physics Letters · doi:10.1088/1612-202x/ae1e6a

Interqubit correlation dynamics driven by mutual interactions

Kwiatkowska, A., & Kłobus, W. (2025) · Physical Review A · doi:10.1103/n81x-x3hv

Entanglement thresholds for sequential nonlocality sharing in star networks

Li, M., Li, Y., Xu, R.-B., Zhu, M.-R., Ma, H., Zhang, C.-Y., & Zheng, Z. (2026) · Physical Review Research · doi:10.1103/26rt-yvpn

Thermal robustness of nanowire quantum correlations with rashba spin-orbit interaction and external fields

Mohamed, A.-B. A., Jaradat, E. K., & Alharbi, S. S. (2026) · Optik · doi:10.1016/j.ijleo.2026.172674

The sequential non-locality sharing by four-partite GHZ state in a new Bell scenario

Dang, X.-Y., Zhang, L., & Qin, H. (2026) · Laser Physics · doi:10.1088/1555-6611/ae3286

Spin entanglement and quantum correlations in hyperon–antihyperon production

Yang, Y.-G., Qian, C., & Wang, Q. (2026) · International Journal of Modern Physics A · doi:10.1142/s0217751x26430025

Noise-resilient negative quantum states

Lalita, J., Iyer, P. S., & Banerjee, S. (2026) · Physical Review A · doi:10.1103/g3f6-p18d

Family of One‐Parameter Multipartite Entanglement Measures

Ren, H., Li, Y., & Luo, Y. (2026) · Advanced Quantum Technologies · doi:10.1002/qute.202500617

Generation of quantum steering and nonlocality in a one-dimensional plasmonic waveguide

Yu, L.-Y., Xiao, Y., & He, Q.-L. (2026) · Laser Physics Letters · doi:10.1088/1612-202x/ae4192

Point defects in h-BN: Towards a two-dimensional spin–photon interface

Campbell, F. J. (2026) · Materials Science and Technology · doi:10.1177/02670836251409597

Analyzing Hierarchical Quantum Resources under $$\mathcal{P}\mathcal{T}$$-Symmetry Operations in a 2D Hubbard Model for Graphene Systems

Mohamed, A.-B. A., Jaradat, E. K., Alotaibi, A. M., & Khedr, A. N. (2026) · International Journal of Theoretical Physics · doi:10.1007/s10773-026-06264-x

Hierarchy Dynamics of Nonlocalitics of Heisenberg XYZ States Induced by Decoherence Mdel: Symmetric Exchange (x, y, z)-Interactions, and Magnetic Field in x-Direction

Mohamed, A.-B. A., Jaradat, E. K., Alharbi, S. S., & Hashem, M. (2026) · International Journal of Theoretical Physics · doi:10.1007/s10773-025-06244-7

Bounding entanglement and Bell nonlocality for arbitrary two-qubit state via quantum steering ellipsoid

Xing, L.-L., & Yang, H. (2026) · Physica Scripta · doi:10.1088/1402-4896/ae5354

Bell inequalities from outcome equalities

Faleiro, R., Hirsch, F., Cruzeiro, E. Z., & Gisin, N. (2026) · Physical Review A · doi:10.1103/wccm-zgnl

Polarization entanglement in atomic biphotons via orbital-angular-momentum-to-spin mapping

Lin, C., Ma, Y.-T., Shiu, J., & Chen, Y. (2026) · Physical Review A · doi:10.1103/wlsg-f6kl

No-cost Bell nonlocality certification from quantum tomography and its applications in quantum-magic-resource witnessing

Cieśliński, P., Knips, L., Weinfurter, H., & Laskowski, W. (2026) · Physical Review A · doi:10.1103/1nkl-sphd

Non-locality and Back-reaction in Acoustic Black Holes and Non-linearity in Quantum Fluid Dynamics

Ciliberto, G. (2024) · doi:10.70675/6404e12bze60az43bcz8012zd231ded5f0e8

Detecting entanglement from few partial transpose moments and their decay via weight enumerators

Miller, D. J., & Eisert, J. (2026) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/ae98c6

Enhancing the intrinsic decoherence dynamics of quantum nonlocality for semiconductor quantum dot qubits: quantum steering, bell nonlocality and entanglement

Mohamed, A.-B. A., Jaradat, E. K., Khedr, A. N., & Alharbi, S. S. (2026) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-026-07607-7

Disentangling new physics with quantum entanglement in t t ¯ production at future lepton colliders

Arai, M., Mawatari, K., & Okada, N. (2026) · Physical review. D/Physical review. D. · doi:10.1103/9yfq-wtfn

Clauser–Horne–Shimony–Holt Bell-inequality violability with the full Poincaré–Bloch sphere

Cardoso-Isidoro, C., & Galvez, E. J. (2026) · AVS Quantum Science · doi:10.1116/5.0320174

The Role of Error in Enhancing Probabilistic Quantum Deletion

Nancy, A., & Balakrishnan, S. (2026) · International Conference on Next-Gen Quantum and Advanced Computing: Algorithms, Security, and Beyond (NQComp) · doi:10.1109/nqcomp68334.2026.11497661

Quantum feature analysis in double qubit–cavity coupling system under dephasing

Hassan, T., Ali, S. I., Mesmouli, M. B., Zaidi, H. N., & Ramadan, R. Α. (2026) · Physica Scripta · doi:10.1088/1402-4896/ae6a48

Hierarchy of average correlation, quantum steering and Bell nonlocality in two-qubit systems

Tian, Q., & Youneng, G. (2026) · Chinese Physics B · doi:10.1088/1674-1056/ae6b38

Probing quantum resources in nitrogen-vacancy centers in diamond

Chouiba, A., Elghaayda, S., & Mansour, M. (2026) · Physica Scripta · doi:10.1088/1402-4896/ae6e2d · Cited by 1

Quantum correlations and coherence in a two-qubit anisotropic XY under magnetic field

Jellal, A., Díaz, P., & Laroze, D. (2026) · Quantum Information Processing · doi:10.1007/s11128-026-05196-z

Violation of Bell monogamy relations

Panda, A., Datta, C., & Agrawal, P. (2026) · Physics Letters A · doi:10.1016/j.physleta.2026.131892

Nonlocality dynamics induced by two-spin interactions within an open cavity: Bell nonlocality, steering, and entanglement

Kédim, I., Jaradat, E. K., Bouteraa, Y., & Mohamed, A. ‐. A. (2026) · Chinese Journal of Physics · doi:10.1016/j.cjph.2026.06.038

Self-produced signs in decision-making and contextual correlations

Trieste, L., & Turchetti, G. (2026) · Frontiers in Psychology · doi:10.3389/fpsyg.2026.1838592

Sequential sharing of ‘local’ entanglement under robust projective measurements

zhong, Z. Y., Liu, D. F., Fei, S.-M., & Wang, B.-H. (2026) · Quantum Science and Technology · doi:10.1088/2058-9565/ae917d

Optimal nonlocality transfer matrix in quantum chains with translational symmetry breaking

Anonymous, Cheng, H.-G., Xu, Z., McCulloch, I. P., Yan, L., & Sun, Z. (2026) · Physical Review A · doi:10.1103/sllr-kbjx

Nonlocality in continuous-variable quantum networks

Anonymous, Kundu, A., & Majumdar, A. S. (2026) · APS Open Science · doi:10.1103/dklm-6g7s · Cited by 1

Probing Higher‐Order Quantum Correlations in High Energy Physics

Liu, A., & Qiao, C. (2026) · Annalen der Physik · doi:10.1002/andp.70264

Entanglement certification and entropy bounds in the asymmetric Clauser-Horne-Shimony-Holt scenario

Anonymous, Kuang, X., & Han, Y.-G. (2026) · Physical Review A · doi:10.1103/l53l-zk8n

Octonionic Vacuum Selection and the Emergence of Quantum SuperpositionPreprint

Giesel, R. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.7234358

Quantum Correlations and Coherence in a Two-Dimensional Electron Gas

Banouni, C., Mansour, M., & Ouchrif, M. (2026) · Springer proceedings in physics · doi:10.1007/978-3-032-22611-2_17

Special unitary algebras underlying bipartite qubit and qutrit systems

Dasgupta, P., & Gangopadhyay, D. (2026) · Pramana · doi:10.1007/s12043-026-03169-6

Dynamics and stability of two-qubit quantum information resources in InAs quantum nanowires with spin–orbit coupling

Alrebdi, T. A., Alkallas, F. H., Trabelsi, A. B. G., Mohamed, A.-B. A., & Abdel‐Aty, A. (2026) · Physica B Condensed Matter · doi:10.1016/j.physb.2026.419195

Experimental certification of the nonlocal advantages of quantum imaginarity

Anonymous, Yuan, K.-Y., Tian, Y.-X., Tan, H.-R., Rong, Y.-X., Shang, Z., Gu, Y., & Xiao, Y. (2026) · Physical Review A · doi:10.1103/7jcn-yq29

Multipartite nonlocality spectrum and quantum criticality in the one-dimensional infinite quantum model

Bao, J., Guo, B., Qu, S. Q., Xu, F., & Sun, Z. (2026) · Modern Physics Letters B · doi:10.1142/s0217984926502234

Intrinsic decoherence effects on the robustness and fragility of teleported quantum correlations for time-dependent anisotropic Heisenberg states

Aljuaydi, F., Jaradat, E. K., & Mohamed, A.-B. A. (2026) · Physica B Condensed Matter · doi:10.1016/j.physb.2026.419288

QTT Source-Selected Record Overlaps: Event Filters, Bell Correlations, and a Common-Contact Transfer TestPreprint

Ali, A. (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi:10.5281/zenodo.23035820

Merged States of an Observer: Discrimination, Reading Cost and Zero-Error RecoveryPreprint

Rahnama, M. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.7640059

Nonlocality and negative conditional entropy from QBER

Adabi, F., Sabbaghzadeh, J., Solaymani, S., & Ghaderi, A. (2026) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/aead1c

Nonlocality in multipartite correlation networks

Würflinger, L. E. (2013) · doi:10.5821/dissertation-2117-95141

Clauser-Horne-Shimony-Holt violation and the entropy-concurrence plane

Derkacz, Ł., & Jakóbczyk, L. (2005) · Physical Review A · doi:10.1103/physreva.72.042321 · Cited by 27

Violation of Bell inequalities in 2 × 3 dimensional systems

Caban, P., & Horodecki, P. (2026) · New Journal of Physics · doi:10.1088/1367-2630/aea244

Linear entropy and Bell inequalities

Santos, E., & Ferrero, M. (2000) · Physical Review A · doi:10.1103/physreva.62.024101 · Cited by 39

Bell's Inequality for Two-Particle Mixed Spin States

Andreev, V. A., & Man’ko, V. I. (2004) · Theoretical and Mathematical Physics · doi:10.1023/b:tamp.0000036543.69631.94 · Cited by 14

Bell inequality for Werner states

Wu, X.-H., Zong, H.-S., Hou-Rong, P., & Wang, F. (2001) · Physical Review A · doi:10.1103/physreva.64.022103 · Cited by 3