Example equations do not represent actual quebit numbers
that must conform to the actual grid geometry.

Energy equation for two qubits s1 and s2.  Ising -1 +1 h and J
the solution for s1, s2, ... is when E(weights, connections) is minimum

E(h1, h2, J12) = h1*s1 + h2*s2 + J12*s1*s2

E(h1, h2, h3, J12, J13, J23) = h1*s1 + h2*s2 + h3*s3 +
                               J12*s1*s2 + J13*s1*s3 + J23*s2*s3

E(h1, h2, h3, h4, J12, J13, J14, J23, J24, J34) =
        h1*s1 + h2*s2 + h3*s3 + h4*s4 +
        J12*s1*s2 + J13*s1*s3 + J14*s1*s4 + J23*s2*s3 + J24*s2*s4 + J34*s3*s4

E(h1, h2, h3, h4, h5, J12, J13, J14, J15, J23, J24, J25, J34, J35, J45) =
      h1*s1 + h2*s2 + h3*s3 + h4*s4 + h5*s5 +
      J12*s1*s2 + J13*s1*s3 + J14*s1*s4 + J15*s1*s5 +
      J23*s2*s3 + J24*s2*s4 + J25*s2*s5 + J34*s3*s4 + J35*s3*s5 + J45*s4*s5

...                                                      .ne.
                                                          ~=
Example: exclusive or of s1 and s2, lowest energy when s1 != s2

 s1 s2  E=h1*s1 + h2*s2 + J12*s1*s2  for  h1=-1, h2=-1, J12=2
 -1 -1  4
 -1 +1 -2
 +1 -1 -2
 +1 +1  0


 s1 s2  E=h1*s1 + h2*s2 + J12*s1*s2  for  h1=-0.5, h2=-0.5, J12=1
 -1 -1  2
 -1 +1 -1
 +1 -1 -1
 +1 +1  0