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We've got a bunch of people interested in the connection between category theory and quantum physics - including quantum computation and quantum information theory. So, here's a place for us to talk about it!

For a fun way to get started, read this:

- Bob Coecke, Quantum picturalism.

## Comments

Prasanna Venkatesh writes:

`[Prasanna Venkatesh](https://forum.azimuthproject.org/discussion/2040/introduction-prasanna-venkatesh#Head) writes: > Hello All! [I am](https://sites.google.com/site/bprasannavenkateshphys/) a theory postdoc at the [Institute for Quantum Optics and Quantum Information, Innsbruck](https://iqoqi.at/en/). My research interests are in Quantum Optics, Ultracold atomic physics and Quantum Thermodynamics. I came to the forum via reading about the Azimuth Project and I am now fascinated by the Category Theory course that is currently running. I am quite a novice in pure mathematics and look forward to learning via the lectures and interactions here. > In my own work the closest I have come to pure mathematics, apart from courses in mathematics in my undergraduate institution [Chennai Mathematical Institute](http://www.cmi.ac.in/), was the application of ideas from Catastrophe Theory while studying bistability in systems of cold atoms confined to optical resonators during my PhD at [McMaster University](https://www.physics.mcmaster.ca/). More recently, while working on work fluctuation theorems for quantum systems, I found that many people have discovered interesting links between information theory and thermodynamics. I am also interested in studying these links more closely in the future. > Finally, I also have interests in programming but mostly biased to tasks relevant in my physics research such as solving stochastic differential equations. Interestingly, the first programming language I learnt was Haskell during my undergrad (I was told later by some computer science friends that this is quite non-standard for Indian undergrad institutes) and look forward to understanding the connections between category theory and Haskell.`

Grant Roy writes:

`[Grant Roy](https://forum.azimuthproject.org/discussion/1738/introduction-grant-roy#Head) writes: > I'm a software engineer in the Pierce Lab at Caltech, where I work on NUPACK as part of the molecular programming project. I'm interested in algorithms and applications geared toward understanding and designing bio-molecular functionality. I'm also really interested in quantum computing, and in particular the design of novel quantum algorithms/circuits that could be useful in the biological sciences. I have a more general interest in the idea of open scientific collaboration and learning, and consequently I am very excited about this course!`

As for me, I've written a lot about quantum mechanics and categories. I think these are the best places to start, to get what I was doing:

John Baez, Quantum quandaries: a category-theoretic perspective, Published in

Structural Foundations of Quantum Gravity, eds. Steven French, Dean Rickles and Juha Saatsi, Oxford U. Press, 2006, pp. 240-265.John Baez and Aaron Lauda, A prehistory of n-categorical physics, in

Deep Beauty: Mathematical Innovation and the Search for an Underlying Intelligibility of the Quantum World, ed. Hans Halvorson, Cambridge U. Press, Cambridge, 2011, pp. 13-128.`As for me, I've written a lot about quantum mechanics and categories. I think these are the best places to start, to get what I was doing: * John Baez, [Quantum quandaries: a category-theoretic perspective](http://math.ucr.edu/home/baez/quantum/), Published in _Structural Foundations of Quantum Gravity_, eds. Steven French, Dean Rickles and Juha Saatsi, Oxford U. Press, 2006, pp. 240-265. * John Baez and Aaron Lauda, [A prehistory of n-categorical physics](http://arxiv.org/abs/0908.2469), in _Deep Beauty: Mathematical Innovation and the Search for an Underlying Intelligibility of the Quantum World_, ed. Hans Halvorson, Cambridge U. Press, Cambridge, 2011, pp. 13-128.`

Wow, Excellent!

`Wow, Excellent!`

There's a lot on my reading list now!

`There's a lot on my reading list now!`

Professor Baez, in your opinion, is there some topics/roadmap that deserves to be highlighted about the involution theme in Quantum physics , considering applied category ?

`Professor Baez, in your opinion, is there some topics/roadmap that deserves to be highlighted about the involution theme in Quantum physics , considering applied category ?`

I don't know what you mean by "the involution theme". I can guess...

`I don't know what you mean by "the involution theme". I can guess...`

Ok if occur to me some good reformulation of it will post it Thanks. Best regards

`Ok if occur to me some good reformulation of it will post it Thanks. Best regards`