We prove polarization theorems for arbitrary classical-quantum (cq) channels. The input alphabet is endowed with an arbitrary Abelian group operation and an Arikan-style transformation is applied ...

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Therefore, φ is a Homomorphism. 3 HOMOMORPHIC ENCRYPTION In this section, we will demonstrate the application of cryptography. Due to the high demand for network data storage, a secure system is ...

And in representation theory, ‘height’ applies to something called abelian groups. In an abelian group, all the elements in the group can be rearranged in any order.

The discovery of a new blood group, MAL, has solved a 50- year-old mystery. Researchers from NHS Blood and Transplant (Bristol), NHSBT’s International Blood Group Reference Laboratory (IBGRL) and the ...

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