| 8 III | Simon Burton (Instytut Fizyki Teoretycznej UJ) Categories for quantum codes Location: Zoom, [link], pass:commutator, 14:15
Chaos and Quantum Info Seminar
Show abstract
We use binary linear codes to store and transmit classical information. These are length one chain complexes over a finite field.
Quantum (CSS) stabilizer codes can be seen as length two (or more) chain complexes over a finite field. There are no complex numbers to be seen here, so what is quantum about quantum codes? One possible answer is that these codes, as
chain complexes, live in a symmetric closed monoidal category enriched over itself. This also applies to the category of finite dimensional complex vector spaces, the usual context in which we do quantum information theory. In this talk I will discuss these parallels using string diagram notation. As might be suspected, they key is the behaviour of the tensor product in both contexts. |
