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Distances between pure quantum states induced by a distance matrix
Tomasz Miller, Rafa{\l} Bistro\'n
https://arxiv.org/abs/2509.14727 https://arxiv.org…

Distances between pure quantum states induced by a distance matrix
With the help of a given distance matrix of size $n$, we construct an infinite family of distances $d_p$ (where $p \geq 2$) on the the complex projective space $\mathbb{P}(\mathbb{C}^n)$, modelling the space of pure states of an $n$-dimensional quantum system. The construction can be seen as providing a natural way to isometrically embed any given finite metric space into the space of pure quantum states 'spanned' upon it. In order to show that the maps $d_p$ are indeed distance functions -- in…

Driving around rural #Ontario this weekend we happened on a damn fine French bakery (when you marry a Gaul, you learn about such things). The place is nowhere near much of anything. If you ever end up on Highway 89 in Mono, do yourself a favour and stop by Bistro Dupain.