Bell's theorem disproves local hidden-variable theories
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Bell's theorem disproves local hidden-variable theories
Bell's theorem revealed that quantum mechanics cannot be reconciled with local hidden-variable theories. This theorem showed that if such theories were true, they would not align with the predictions of quantum mechanics.
Example
Bell's theorem demonstrated that entangled particles exhibit correlations that cannot be explained by local hidden variables.
Understanding Bell's theorem is crucial for grasping the fundamental differences between quantum mechanics and classical physics.
Physical paradox
Einstein argued entanglement implied either hidden variables or nonlocality
Eastin–Knill theorem
No quantum error correcting code can have a continuous symmetry acting transversely on physical qubits
Aspect ratio (image)
Bell inequality violations confirm quantum nonlocality
Measurement in quantum mechanics
Quantum states describe probabilities, not certainties
Noether's theorem
Noether's theorem links continuous symmetries to conservation laws
Goldstone boson
Goldstone theorem states every spontaneously broken continuous symmetry produces a massless boson
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