Monthly Archives: June 2020

4-input 2-output Boolean circuits

In 2005, Donald Knuth determined the minimum cost required to implement each of the 2^32 different 5-input 1-output Boolean functions as a circuit composed entirely of: 2-input gates (there are 16 of these), each of which has cost 1; 1-input … Continue reading

Posted in Boolean optimisation | 3 Comments

That group of order 348364800

In nested lattices, we talked about the E8 lattice and its order-696729600 group of origin-preserving symmetries. In minimalistic quantum computation, we saw that this group of 8-by-8 real orthogonal matrices is generated by a set of matrices which are easily … Continue reading

Posted in Uncategorized | 3 Comments