I wasn't try to relate it to your first question. The evidence that degenerate states exist is that SQUID-based quantum computers can and do generate them.
On 5/22/19, 5:02 PM, "Friam on behalf of uǝlƃ ☣" <[email protected] on behalf of [email protected]> wrote: OK. Well, I thought I could've digested the two papers by this time. But I've failed and will probably give up for now. It's still entirely unclear to me how the 3 level system's dark states facilitate the finer-than-diffraction-limited resolution. So, I can't place the OR gate example into the context of the laser lattice and my 1st basic question about energy state transitions via different energy photons. I believe I grok your point about any given "degenerate" state being "computed over" as if it is or could be real[ized], just so that the solutions are meaningful. But in the context of microscopy, distinguishing things below the resolution allowed by the drive beam, I remain completely lost. Hopefully, I'll try again soon ... maybe on an airplane flight when I have nothing to distract me. 8^) On 5/18/19 8:00 AM, Marcus Daniels wrote: > 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. -- ☣ uǝlƃ ============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com archives back to 2003: http://friam.471366.n2.nabble.com/ FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove ============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com archives back to 2003: http://friam.471366.n2.nabble.com/ FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove
