Hi John,
thank you for your remarks. A few times I thought quantum mechanics from scratch (http://migdal.wikidot.com/en:quantum-outlines), but you are right that even braket notation needs some time, before one understands it and get used to it. An…
Hi Jim,
quantum circuits are another (and fascinating!) story.
If there is need, I can write such (though, there are many much more competent persons to write it).
In general, there is an interesting notation of Penrose for tensors, which is often…
Hi John,
it is great to hear that you like it!
English - sure. When I read my stuff a few days after writing it, I can spot so many mistakes (except for articles, which are still a bit tricky for me).
With quantum mechanics - I know it is not the…
John wrote:
I hope you noticed that Cobbold and Leinster prove a theorem saying that their quantity ${}^q D^Z$ is the only quantity (or more precisely family of quantities, since it depends on $q$) with a few properties they consider reasonable.…
Thanks for a comment for a default value of $t_0$ (though, I considered it a parameter).
Now I see that there is one more nice choice for the weight, $w(x)=\delta(x-1)$ - i.e. we treat species as indistinguishable iff $\text{TMRCA}(i,j) \leq t_0$.
…
You can naturally1) create scalar product similarity based on Time to the Most Recent Common Ancestor.
The recipe is the following:
select time scale $t_0$,
for two species the similarity is overlap of their branches in the evolutionary tree, wei…
@Graham Jones - I don't see how it helps.
Surely, one gets different numerical values.
But I am interested if there are any properties for $\exp(H_q(\rho))$ that do not hold for ${}^q D^Z$ or vice versa. Especially properties with some practical ap…