Bell's theorem

By Sheldon Goldstein, Travis Norsen, D. Tausk, Nino Zanghí. Scholarpedia, 2011

844 citations recorded by the source corpus.

The origins of this topic is a famous paper by Einstein, Rosen and Podolsky (EPR) in 1935; its title was Can Quantum-Mechanical Description of Physical Reality be Considered Complete? They considered what Einstein called the "spooky action-at-a-distance" that seems to be part of Quantum Mechanics, and concluded that the theory must be incomplete if not outright wrong. As you probably already know, Einstein never did accept Quantum Mechanics. One of his objections was that "God does not play at dice with the universe." Bohr responded: "Quit telling God what to do!"

Subfields: History and Philosophy of Science

View Paper: https://www.semanticscholar.org/paper/0033ce37663ba28d9ab82f4e2fa09a065e3593de

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In History and Philosophy of Science

1. Gregg Jaeger
2. Robert W. Spekkens
3. Terry Rudolph
4. Franco Nori
5. Stephen D. Bartlett
6. Neill Lambert
7. Clive Emary

Citations in the corpus

• Leggett–Garg inequalities (2013, background): “In Bell’s inequalities, the analogous loophole is the communication loophole [66].”
• Semiquantum secret sharing using entangled states (2009, methodology): “showed how to implement a secret sharing scheme using three-particle entangled Greenberger-Horne-Zeilinger (GHZ) states [4] in the presence of an eavesdropper [5].”
• Quantum Phase Transitions in Transverse Field Spin Models: From Statistical Physics to Quantum Information (2010, background): “This Hamiltonian undergoes a QPT at gc = 0 with a diverging correlation length with critical exponents ν = 1 and z = 2; the state at the QCP is a GreenbergerHorner-Zeillinger state [61].”
• Do We Really Understand Quantum Mechanics? (2012, methodology): “These authors also make use of the Bayes law, and put the emphasis on notions such as “predictive completeness” [175] or “parameter independence” and “outcome independence” [168, 176], to obtain the factorization (4.”
• Reconstruction of Gaussian quantum mechanics from Liouville mechanics with an epistemic restriction (2011, methodology): “Such inequivalence is inevitable because a classical theory with an epistemic restriction is by construction a local noncontextual hidden variable theory and it is known that one can prove Bell’s theorem and the Kochen-Specker theorem within the stabilizer theory of qubits (for instance, by using th”
• Symmetric Gapped Interfaces of SPT and SET States: Systematic Constructions (2017, methodology): “The better definition for SSB is based on the Greenberger-Horne-Zeilinger (GHZ) entanglement [90].”
• John S. Bell’s concept of local causality (2007, background): “23, 880 (1969) [24] For an alternative formulation of locality which”
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States (2013, neutral): “the eigenstates of the Pauli σz operator (spin “up” and “down”) [63].”
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity (2008, background): “One of them is the Greenberger-HorneZeilinger (GHZ) class [29] and the other one is the W class [28].”
• Generation and manipulation of Schrödinger cat states in Rydberg atom arrays (2019, background): “GHZ states constitute an important class of entangled many-body states [1].”
• Genuinely multipartite entangled states and orthogonal arrays (2014, background): “For three qubits the only 1-uniform state is the GHZ state [24],”