An invitation to quantum magic squares, by the Science Breaker

One can imagine a quantum magic square as coming from a very weird composition of quantum measurements. Start by noting that every row (or column) of a quantum magic square defines a POVM. The weird composition rule says that one can only compose POVMs which, when stuck on top of each other, define a quantum magic square. Is this physical, in any sense? In what world would a composition like that make sense? I don't know. What we find is that this composed object has some very different properties than the individual ones. For example, it cannot be dilated to a quantum permutation matrix (whereas every POVM can be dilated to a projective measurement). That's just one way of viewing quantum magic squares.

The mathematical magic hiding in the Sagrada Familia

I tried to share some of the magic of quantum theory, of magic squares and of quantum magic squares here. How beautiful is this sculpture, called The Lovers, at the Sagrada Familia? Not to speak of the Sagrada Familia itself... I should translate the article soon.

What is reality?

Blog contribution to Larissa Albantakis' blog Conscious(ness) realist.

Article for La Maleta de Portbou

Short essay on What is reality? published in La Maleta de Portbou (March 2022). You can read it in English in here.

Lecture notes
A crash course on quantum information

A 1.5 hour crash course on some of the basic ingredients on quantum information. Given to first semester Master students at the University of Innsbruck in the framework of the Lecture "Modern Physics".

Lecture notes
Positivity wants to break free

Notes for a 1 hour crash course on "Positivity wants to break free" (Levico, July 26, 2021.)

Lecture notes
Computational complexity for physicists

Notes for a 1.5 hour crash course on "Computational complexity for physicists", including the solution to a seminar where we showed that the ground state energy problem of the Ising model is NP-hard.

From simplicity to universality

TEDx Talk (June 2021) where I tried to explain the things that I'm trying to understand myself... PS: the talk was recorded on a stage without an audience so it made me feel like an actress :) If you watch the talk I'd be grateful if you shared your opinions / thoughts with me.

Local descriptions of mixed states

Mathematical Physics Seminar at the Laboratoire de Physique Théorique, University Paul Sabatier, Toulouse, France, December 12, 2019.

Universal systems: Why is everything so complicated?

An article of "Der Standard" about my work and some personal stuff, with the title "Universal systems: Why is everything so complicated?" That's a good title, I think.

Interview for Scilog

An interview for "Scilog" from Alois Pumhösel on occasion of the START Prize.

Universality Everywhere implies Undecidability Everywhere

Gemma De las Cuevas. Undecidability, Uncomputability, and Unpredictability Essay contest, organized by FQXi (2020).

Interview "Inside the Perimeter"

An interview from "Inside the Perimeter", the magazine of the Perimeter Institute for Theoretical Physics. 

Lecture notes
Inside the Perimeter

I recently found out that I am quoted in this website.

La unificación de los modelos de espín

Article on "Investigación y ciencia" (November 2016, in Spanish).

Ser i Res

A long time ago I won the first prize for a literary creation related with physics, which got published (in Catalan): Ser i res. Gemma de las Cuevas i Millan. Revista de Física 3, 20 (2006).