document: Testing statistical bounds on entanglement using quantum chaos Previous results indicate that while chaos can lead to substantial entropy production , thereby maximizing dynamical entanglement , this still falls short of maximality . Random matrix theory modeling of composite quantum systems , investigated recently , entails a universal distribution of the eigenvalues of the reduced density matrices . We demonstrate that these distributions are realized in quantized chaotic systems by using a model of two coupled and kicked tops . We derive an explicit statistical universal bound on entanglement , which is also valid for the case of unequal dimensionality of the Hilbert spaces involved , and show that this describes well the bounds observed using composite quantized chaotic systems such as coupled tops
doc_bio_tags: O B I O B O B I O O O O O O O O O O B I O O O O B O O O O O O B O B I I O O B I I O O O O O O B I O O O O O B I I O O O O O O O O O B I I O O O O O O O O B I O O O O O O O O O B O O O O O O O O O O O O O B I O O O O O O O O O O O O O B I I O O O O
extractive_keyphrases: statistical bounds entanglement quantum chaos entropy production maximality random matrix theory composite quantum systems universal distribution reduced density matrices quantized chaotic systems kicked tops hilbert spaces