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Piotr Migdal

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Piotr Migdal
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  • 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…