Entanglement criteria for noise resistance of two-qudit states

• Correlation tensors based on geometry are utilized for entanglement indicator.
• Noise resistances for entanglement of higher dimensional systems are analyzed.
• Analytical and numerical results on various noises are presented.

Noise affects production and transmission of entanglement. We use a handy approach for a noise resistance of entanglement of two-qudit systems. A geometric concept using correlation tensors of separable and entangled states is implemented to formulate entanglement criterion. We apply the criterion to the various types of noise (white, colored, local depolarizing and amplitude damping) admixtures with the initial (pure) state. We also study the noise resistance with respect to the violation of specific family of Bell inequalities (CGLMP). A broad set of numerical and analytical results is presented.