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Open Quantum Systems Decoherence
Entanglement Theory Quantum Correlations
Quantum Simulation
Quantum Foundations
Lower bound for the mean square distance between classical and quantum spin correlations
arXiv
Authors: Gebhard Gruebl, Lukas Wurzer
Year
2010
Paper ID
10508
Status
Preprint
Abstract Read
~2 min
Abstract Words
66
Citations
N/A
Abstract
Bell's theorem prevents local Kolmogorov-simulations of the singlet state of two spin-1/2 particles. We derive a positive lower bound for the L2%-distance between the quantum mechanical spin singlet anticorrelation function cos and any of its classical approximants C formed by the stationary autocorrelation functions of mean-square-continuous, 2π-periodic, pm1-valued, stochastic processes. This bound is given by Vert C-cosVert geq\(1-frac{8}{π2}\) /sqrt{2}approx0.133 95.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- Bell's theorem prevents local Kolmogorov-simulations of the singlet state of two spin-1/2 particles.
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