Some ideas from quantum theory are beginning to percolate back to classical probability theory. For example, the master equation for a chemical reaction network — also known as a stochastic Petri net — describes particle interactions in a stochastic rather than quantum way. If we look at this equation from the perspective of quantum theory, this formalism turns out to involve creation and annihilation operators, coherent states and other well-known ideas — but with a few big differences.
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