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arXiv · 1909.01343

Zero-Correlation Entanglement

Toru Ohira
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Abstract

We consider a quantum entangled state for two particles, each particle having two basis states, which includes an entangled pair of spin 1/2 particles. We show that, for any quantum entangled state vectors of such systems, one can always find a pair of observable operators X, Y with zero-correlations = . At the same time, if we consider the analogous classical system of a "classically entangled" (statistically non-independent) pair of random variables taking two values, one can never have zero correlations (zero covariance, E[XY] - E[X]E[Y] = 0). We provide a general proof to illustrate the different nature of entanglements in classical and quantum theories.

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Toru Ohira. 2019-09-02. Zero-Correlation Entanglement. https://doi.org/10.1093/ptep/ptz149

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