Abstract
Inequalities of information entropic play a fundamental role in information theory and have been employed effectively in finding bounds on optimal rates of various information-processing tasks. In this paper, we perform the first experimental demonstration of the information-theoretic spin-1/2 inequality using the high-fidelity entangled state. Furthermore, we study the evolution of information difference of entropy when photons passing through different noisy channels and give the experimental rules of the information difference degradation. Our work provides an new essential tool for quantum information processing and measurement, and offers new insights into the dynamics of quantum correlation in open systems.
Highlights
In this paper, for the first time we experimentally demonstrate the information-theoretic spin-1/2 Bell inequality
The results show that the correlation between space-like separated entangled quantum system can be quantified using the quantum information entropy
The noise channels were engineered by setting the angles of half-wave plates to be ± θ with an equal probability, and each HWP was sandwiched by two quarter-wave plates (QWPs) at 0° with respect to the vertical direction
Summary
For the first time we experimentally demonstrate the information-theoretic spin-1/2 Bell inequality. Information theoretic formulations of the quantum correlation in the presence of decoherence and noise were not addressed . We study the information difference degradation in the bit-flip and phase-shift noises environment and give the experimental rules of the information difference evolution.
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