# Quantum Techniques for Studying Equilibrium in Reaction Networks

Source: [Quantum Techniques for Studying Equilibrium in Reaction Networks](<https://www.sota2.com/research/paper/68fa36251e209131ce8a7247>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T21:38:54.297Z

Authors: John C. Baez, Brendan Fong

Published: 2013-05-21T23:37:29.000Z

## Abstract

Anderson, Craciun, and Kurtz have proved that a stochastically modelled chemical reaction system with mass-action kinetics admits a stationary distribution when the deterministic model of the same system with mass-action kinetics admits an equilibrium solution obeying a certain "complex balance" condition. Here we present a proof of their theorem using tools from the theory of second quantization: Fock space, annihilation and creation operators, and coherent states. This is an example of "stochastic mechanics", where we take techniques from quantum mechanics and replace amplitudes by probabilities.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1305.4988>)

[PDF](<https://arxiv.org/pdf/1305.4988.pdf>)