3,360 research outputs found
Multi-party zero-error classical channel coding with entanglement
We study the effects of quantum entanglement on the performance of two
classical zero-error communication tasks among multiple parties. Both tasks are
generalizations of the two-party zero-error channel-coding problem, where a
sender and a receiver want to perfectly communicate messages through a one-way
classical noisy channel. If the two parties are allowed to share entanglement,
there are several positive results that show the existence of channels for
which they can communicate strictly more than what they could do with classical
resources. In the first task, one sender wants to communicate a common message
to multiple receivers. We show that if the number of receivers is greater than
a certain threshold then entanglement does not allow for an improvement in the
communication for any finite number of uses of the channel. On the other hand,
when the number of receivers is fixed, we exhibit a class of channels for which
entanglement gives an advantage. The second problem we consider features
multiple collaborating senders and one receiver. Classically, cooperation among
the senders might allow them to communicate on average more messages than the
sum of their individual possibilities. We show that whenever a channel allows
single-sender entanglement-assisted advantage, then the gain extends also to
the multi-sender case. Furthermore, we show that entanglement allows for a
peculiar amplification of information which cannot happen classically, for a
fixed number of uses of a channel with multiple senders.Comment: Some proofs have been modifie
A neural network system for transformation of regional cuisine style
We propose a novel system which can transform a recipe into any selected
regional style (e.g., Japanese, Mediterranean, or Italian). This system has two
characteristics. First the system can identify the degree of regional cuisine
style mixture of any selected recipe and visualize such regional cuisine style
mixtures using barycentric Newton diagrams. Second, the system can suggest
ingredient substitutions through an extended word2vec model, such that a recipe
becomes more authentic for any selected regional cuisine style. Drawing on a
large number of recipes from Yummly, an example shows how the proposed system
can transform a traditional Japanese recipe, Sukiyaki, into French style
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