Fundamental limits to quantum channel discrimination

What is the ultimate performance for discriminating two arbitrary quantum channels acting on a finite-dimensional Hilbert space? Here we address this basic question by deriving a general and fundamental lower bound. More precisely, we investigate the symmetric discrimination of two arbitrary qudit channels by means of the most general protocols based on adaptive (feedback-assisted) quantum operations. In this general scenario, we first show how port-based teleportation can be used to simplify these adaptive protocols into a much simpler non-adaptive form, designing a new type of teleportation stretching. Then, we prove that the minimum error probability affecting the channel discrimination cannot beat a bound determined by the Choi matrices of the channels, establishing a general, yet computable formula for quantum hypothesis testing. As a consequence of this bound, we derive ultimate limits and no-go theorems for adaptive quantum illumination and single-photon quantum optical resolution. Finally, we show how the methodology can also be applied to other tasks, such as quantum metrology, quantum communication and secret key generation

Nutraceutical Potential of Apiaceae

Apiaceae family is large, with over 3.000 species worldwide cultivated for many purposes. Some plants in this family such as carrots, parsley, parsnip and celery are common vegetable crops, while other members like anise, caraway, coriander, cumin, fennel, lovage, angelica and dill are famous for their medicinal and aromatic properties. Usage of these plants is very popular in everyday diet because of their documented health benefits. Apiaceae are a very important source of phytochemicals – chemicals with biological activity. However, phytochemicals are non-nutritive plant chemicals, also called nutraceuticals. They are widely used for prevention, treatment or cure of conditions or diseases. Bioactive compounds with nutraceutical potential are polyphenolic compounds, polyacetylenes and terpenoids. The aim of this review is to represent selected plants of Apiaceae family currently used as nutraceuticals and describe their nutritional benefits