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Matthieu R. C. Barbier

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2017-07-22

The ABC of QM

Everything I now understand about QM I owe to Aaronson and Baez. Some of what I hope to understand eventually I owe to Coecke.

Inventing QM in 1800:

To deal with some measurements, we need something like probabilities. However, probabilistic dynamics have tons of irreversible operations (diffusion, shuffling....). Yet, we believe microscopic physics is time-reversible. Crafting the inverse of irreversible stochastic operations requires "negative probabilities". [Baez]

If you want negative probabilities, the only consistent way is QM (you cannot stop at negative reals, you must go to complex, and then you have duality and so on -- your "probabilities" have become wave-like). [Aaronson]

Aaronson

http://www.scottaaronson.com/democritus/

Baez

http://math.ucr.edu/home/baez/networks_oxford/

Coecke

https://arxiv.org/pdf/0906.4725.pdf

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