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" ... However, using QKD in conjunction with a second technology called Quantum Random Number Generation (QRNG) promises the ability to create symmetric encryption keys with enough entropy to resist being cracked by any quantum computer. ... "
" ... It’s important to begin by making private and public cloud infrastructures symmetric. Ensuring your public and private environments look and function the same allows the flexibility to move applications where they make the most sense without needing to rearchitect them, which is often extremely expensive and time-consuming. It can also significantly simplify your operations because your IT team won’t need to manage completely different environments, while policy for improving security can easily apply across both cloud and on-prem. ... "
" ... Now here's the idea. Take a symmetric matrix and look at its order complex. There will be many cliques, but we want to look at them in a clever way. As we build the order complex by adding edges, we can think of this as a corresponding adjacency matrix--the i,j and j,i entries are 1 if the edge exists in the order complex and 0 otherwise. We may then measure the density ρ = k/[n(n+1)/2] of nonzero entries in the adjacency matrix (k is the number of edges in the kth stage of the order complex) and watch how cliques evolve as we increase ρ from 0 upwards. In the picture above, the densities are 0, 1/3, 2/3, and 1, respectively. Cliques may form cycles of various dimensions at one value of ρ but then these cycles may get filled in at higher density values as more edges (and therefore more triangles, solid tetrahedra, etc.) appear. Keeping count of these as ρ increases measures the persistent homology of the order complex (cycles persist for a range of density values, hence the name) and we may graph the Betti numbers against density. ... "
" ... The Standard Model has all of these ingredients, but not enough. If you consider a matter/antimatter symmetric Universe as “a Universe with nothing,” then it’s almost guaranteed that the Universe generated something from nothing, even though we aren’t quite certain exactly how it happened. ... "