[FRIAM] "I have no idea what's going on." -- Towelie
Marcus Daniels
marcus at snoutfarm.com
Sat May 18 11:00:06 EDT 2019
Glen writes:
"What evidence is there of degenerate ground states?"
The Hamiltonians for a logical operator like an OR gate need ground-state degeneracies for non-trivial applications.
Configuration Input0 Input1 -> Output
A 0 0 -> 0
B 0 1 -> 1
C 1 0 -> 1
D 1 1 -> 1
P(A) = P(B) = P(C) = P(D) = 0.25
If the probabilities (thus energies) were not balanced, then the OR gate could not be inverted in a fair way. Excited eigenstates typically exist, but they would give configurations that were wrong like "D 0 0 -> 1". Suppose one wanted to find the key for a complex encryption circuit. A gate encoding that completely favored one gate, P(X) = 1, would not enable search.
Marcus
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