Abstract Let G be a finite Frobenius group of degree n . We show, by elementary means, that is power some prime p provided the rank $${\mathrm{rk}}(G)\le 3+\sqrt{n+1}$$ rk ( G ) ≤ 3 + <...

Low Rank Regularization (LRR), in essence, involves introducing a low rank or approximately assumption to target we aim learn, which has achieved great success many data analysis tasks. Over the last decade, much progress been made theories and applications. Nevertheless, intersection between these two lines is rare. In order construct bridge practical applications theoretical studies, this pap...

Ubiquitous in quantum computing is the step to encode data into a state. This process called state preparation, and its complexity for non-structured exponential on number of qubits. Several works address this problem, instance, by using variational methods that train fixed depth circuit with manageable complexity. These have their limitations, as lack back-propagation technique barren plateaus...