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Information Entropy of the Financial Market: Modelling Random Processes Using Open Quantum Systems

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  • Will Hicks

Abstract

We discuss the role of information entropy on the behaviour of random processes, and how this might take effect in the dynamics of financial market prices. We then go on to show how the Open Quantum Systems approach can be used as a more flexible alternative to classical methods in terms of modelling the entropy gain of a random process. We start by describing an open quantum system that can be used to model the state of a financial market. We then go on to show how to represent an essentially classical diffusion in this framework. Finally, we show how by relaxing certain assumptions, one can generate interesting and essentially non-classical results, which are highlighted through numerical simulations.

Suggested Citation

  • Will Hicks, 2024. "Information Entropy of the Financial Market: Modelling Random Processes Using Open Quantum Systems," Papers 2406.20027, arXiv.org.
    • Handle: RePEc:arx:papers:2406.20027
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    File URL: http://arxiv.org/pdf/2406.20027
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    References listed on IDEAS

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    1. Will Hicks, 2019. "Closed Quantum Black-Scholes: Quantum Drift and the Heisenberg Equation of Motion," Papers 1911.11475, arXiv.org, revised Jan 2020.
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