We review entanglement in the context of two qubits. Equivalence under appropriate local operations leads to a representation of the notions of entangled and separable states and entanglement witnesses geometrically in 3 dimensions. The corresponding four dimensional description captures, in addition, the entanglement measure and en-tanglement distillation geometrically. We give a neat formula ...

Model distillation compresses a trained machine learning model, such as a neural network, into a smaller alternative such that it could be easily deployed in a resource limited setting. Unfortunately, this requires engineering two architectures: a student architecture smaller than the first teacher architecture but trained to emulate it. In this paper, we present a distillation strategy that pr...

Abstract Dividing-wall columns(DWC) are intensified distillation systems for multicomponent separations. They have the potential to save both energy and capital costs significantly than conventional simple column configurations. The several DWC columns for ternary distillations have been figured out by some creative activities from different inventors. Recently they have gained the momentum to ...

A reactive distillation plant is one of the most important and “delicate” functional components of a complex chemical plant. While its steady state modeling and simulation tend to become a standard today by using some well known dedicated software tools, only little is known about the dynamic simulation in the open literature. This paper presents the principles for a modern modeling approach wi...

Batch distillation processes are widely used in chemical industry. In this work, we consider the optimization of such processes by simulated annealing. Although this method is stochastically in nature, it has two evitable advantages: it can be readily connected to highly sophisticated simulation codes and it converges towards a global optimum. According to the characteristics of batch distillat...

2. Soxhlation: Soxhlet extraction is only required where the desired compound has a limited solubility in the solvent, and the impurity is insoluble in that solvent. If the desired compound has a high solubility in a solvent then a simple filtration can be used to separate the compound from the insoluble substance [1]. In a conventional soxhlet system plant material is placed in thimble-holder,...

In this paper, we propose imitation networks, a simple but effective method for training neural networks with a limited amount of training data. Our approach inherits the idea of knowledge distillation that transfers knowledge from a deep or wide reference model to a shallow or narrow target model. The proposed method employs this idea to mimic predictions of reference estimators that are much ...

Quantum universality can be achieved using classically controlled stabilizer operations and repeated preparation of certain ancilla states. Which ancilla states suffice for universality? This “magic states distillation” question is closely related to quantum fault tolerance. Lower bounds on the noise tolerable on the ancilla help give lower bounds on the tolerable noise rate threshold for fault...