John Bell and the Nature of the Quantum World
arXiv:1411.5322 · doi:10.1088/1751-8113/47/42/424007
Abstract
I present my encounter with John Bell at CERN, our collaboration and joint work in particle physics. I also will recall our quantum debates and give my personal view on Bell's fundamental work on quantum theory, in particular, on contextuality and nonlocality of quantum physics. Some mathematical and geometric aspects of entanglement are discussed as influence of Bell's Theorem. Finally, I make some historical comments on the experimental side of Bell inequalities.
arXiv comment27 pages, 11 figures
References in corpus (56)
- Quantum entanglement
- Quantum Cryptography
- Experimental quantum teleportation
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Bell nonlocality
- Entanglement detection
- Violation of Bell's inequality under strict Einstein locality conditions
- Free-Space distribution of entanglement and single photons over 144 km
- Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
- Hidden Variables and the Two Theorems of John Bell
- Violation of Bell inequalities by photons more than 10 km apart
- Quantum Cryptography with Entangled Photons
- Bell Inequalities and the Separability Criterion
- Quantum teleportation using active feed-forward between two Canary Islands
- Bell violation with entangled photons, free of the fair-sampling assumption
- Information-theoretic aspects of quantum inseparability of mixed states
- Entanglement Measures under Symmetry
- Characterizing Entanglement
- Graph-Theoretic Approach to Quantum Correlations
- Nonsequential positive-operator-valued measurements on entangled mixed states do not always violate a Bell inequality
- Physics with the KLOE-2 experiment at the upgraded DANE
- Experimental test of quantum contextuality in neutron interferometry
- Geometry of entangled states
- Grothendieck's constant and local models for noisy entangled quantum states
- Reflections upon separability and distillability
- A Geometric Picture of Entanglement and Bell Inequalities
- More efficient Bell inequalities for Werner states
- Distributing entanglement and single photons through an intra-city, free-space quantum channel
- The state space for two qutrits has a phase space structure in its core
- Bell inequalities for entangled kaons and their unitary time evolution
- Bounding the quantum dimension with contextuality
- A special simplex in the state space for entangled qudits
- Decoherence of entangled kaons and its connection to entanglement measures
- Entanglement or separability: The choice of how to factorize the algebra of a density matrix
- Revealing Bell's Nonlocality for Unstable Systems in High Energy Physics
- The geometry of bipartite qutrits including bound entanglement
- A test of Local Realism with entangled kaon pairs and without inequalities
- Geometric entanglement witnesses and bound entanglement
- Bell inequality and CP violation in the neutral kaon system
- Bell's inequality tests with meson-antimeson pairs
- Simple Hardy-like proof of quantum contextuality
- A model for decoherence of entangled beauty
- Quantum mechanics, Furry's hypothesis and a measure of decoherence in the K^0 \bar{K}^0 system
- Berry phase in entangled systems: a proposed experiment with single neutrons
- Entanglement witnesses and geometry of entanglement of two--qutrit states
- Entanglement, Bell Inequalities and Decoherence in Particle Physics
- Bound entanglement in the magic simplex of two--qutrits
- Violation of a Bell inequality in particle physics experimentally verified?
- New Possibilities for Testing Local Realism in High Energy Physics
- Novel Bell's inequalities for entangled K0 anti-K0 pairs
- Experimental implementation of an eight-dimensional Kochen-Specker set and observation of its connection with the Greenberger-Horne-Zeilinger theorem
- How Devious are Deviations From Quantum Mechanics: The Case of the B^0 \bar B^0 System
- Comment on "State-Independent Experimental Test of Quantum Contextuality in an Indivisible System"
- Testing Local Realism in Decays
- New Aspects of Geometric Phases in Experiments with polarized Neutrons