<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40"><head><meta http-equiv=Content-Type content="text/html; charset=utf-8"><meta name=Generator content="Microsoft Word 15 (filtered medium)"><style><!--
/* Font Definitions */
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
@font-face
{font-family:"Segoe UI Symbol";
panose-1:2 11 5 2 4 2 4 2 2 3;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0in;
margin-bottom:.0001pt;
font-size:11.0pt;
font-family:"Calibri",sans-serif;}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:#0563C1;
text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
{mso-style-priority:99;
color:#954F72;
text-decoration:underline;}
p.MsoPlainText, li.MsoPlainText, div.MsoPlainText
{mso-style-priority:99;
mso-style-link:"Plain Text Char";
margin:0in;
margin-bottom:.0001pt;
font-size:11.0pt;
font-family:"Calibri",sans-serif;}
span.PlainTextChar
{mso-style-name:"Plain Text Char";
mso-style-priority:99;
mso-style-link:"Plain Text";
font-family:"Calibri",sans-serif;}
.MsoChpDefault
{mso-style-type:export-only;
font-family:"Calibri",sans-serif;}
@page WordSection1
{size:8.5in 11.0in;
margin:1.0in 1.0in 1.0in 1.0in;}
div.WordSection1
{page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]--></head><body lang=EN-US link="#0563C1" vlink="#954F72"><div class=WordSection1><p class=MsoPlainText style='margin-left:.5in'><b><i><span style='font-size:10.0pt;font-family:"Times New Roman",serif'>Hopefully, I'll try again soon ... maybe on an airplane flight when I have nothing to distract me. 8^)<o:p></o:p></span></i></b></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Well, except nothing perhaps but hurtling at 60 percent of the speed of sound, at ten percent of normal oxygen levels, at 30 degrees below zero packed in with a 160 other sardines in zorris and hawaian shirts, a third of whom are presumably infected with measles. <o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>You can read on airplanes???! <o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Nick <o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Nicholas S. Thompson<o:p></o:p></p><p class=MsoPlainText>Emeritus Professor of Psychology and Biology<o:p></o:p></p><p class=MsoPlainText>Clark University<o:p></o:p></p><p class=MsoPlainText>http://home.earthlink.net/~nickthompson/naturaldesigns/<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>-----Original Message-----<br>From: Friam [mailto:friam-bounces@redfish.com] On Behalf Of u?l? ?<br>Sent: Wednesday, May 22, 2019 5:02 PM<br>To: FriAM <friam@redfish.com><br>Subject: Re: [FRIAM] "I have no idea what's going on." -- Towelie</p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>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.<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>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.<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Hopefully, I'll try again soon ... maybe on an airplane flight when I have nothing to distract me. 8^)<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>On 5/18/19 8:00 AM, Marcus Daniels wrote:<o:p></o:p></p><p class=MsoPlainText>> Glen writes:<o:p></o:p></p><p class=MsoPlainText>> <o:p></o:p></p><p class=MsoPlainText>> "What evidence is there of degenerate ground states?"<o:p></o:p></p><p class=MsoPlainText>> <o:p></o:p></p><p class=MsoPlainText>> The Hamiltonians for a logical operator like an OR gate need ground-state degeneracies for non-trivial applications.<o:p></o:p></p><p class=MsoPlainText>> <o:p></o:p></p><p class=MsoPlainText>> Configuration Input0 Input1 -> Output<o:p></o:p></p><p class=MsoPlainText>> A 0 0 -> 0<o:p></o:p></p><p class=MsoPlainText>> B 0 1 -> 1<o:p></o:p></p><p class=MsoPlainText>> C 1 0 -> 1<o:p></o:p></p><p class=MsoPlainText>> D 1 1 -> 1<o:p></o:p></p><p class=MsoPlainText>> <o:p></o:p></p><p class=MsoPlainText>> P(A) = P(B) = P(C) = P(D) = 0.25<o:p></o:p></p><p class=MsoPlainText>> <o:p></o:p></p><p class=MsoPlainText>> 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. <o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>--<o:p></o:p></p><p class=MsoPlainText><span style='font-family:"Segoe UI Symbol",sans-serif'>☣</span> uǝlƃ<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>============================================================<o:p></o:p></p><p class=MsoPlainText>FRIAM Applied Complexity Group listserv<o:p></o:p></p><p class=MsoPlainText>Meets Fridays 9a-11:30 at cafe at St. John's College to unsubscribe <a href="http://redfish.com/mailman/listinfo/friam_redfish.com"><span style='color:windowtext;text-decoration:none'>http://redfish.com/mailman/listinfo/friam_redfish.com</span></a><o:p></o:p></p><p class=MsoPlainText>archives back to 2003: <a href="http://friam.471366.n2.nabble.com/"><span style='color:windowtext;text-decoration:none'>http://friam.471366.n2.nabble.com/</span></a><o:p></o:p></p><p class=MsoPlainText>FRIAM-COMIC <a href="http://friam-comic.blogspot.com/"><span style='color:windowtext;text-decoration:none'>http://friam-comic.blogspot.com/</span></a> by Dr. Strangelove<o:p></o:p></p></div></body></html>