Quantum Finance: The Finite Dimensional Case

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dc.creatorChen, Zeqian
dc.date2001-12-26
dc.date2002-07-04
dc.date.accessioned2026-07-07T06:03:27Z
dc.date.available2026-07-07T06:03:27Z
dc.descriptionIn this paper, we present a quantum version of some portions of Mathematical Finance, including theory of arbitrage, asset pricing, and optional decomposition in financial markets based on finite dimensional quantum probability spaces. As examples, the quantum model of binomial markets is studied. We show that this quantum model ceases to pose the paradox which appears in the classical model of the binomial market. Furthermore, we re-deduce the Cox-Ross-Rubinstein binomial option pricing formula by considering multi-period quantum binomial markets.
dc.description22 pages, revised version, submitted
dc.identifierhttps://arxiv.org/abs/quant-ph/0112158
dc.identifierhttp://arxiv.org/abs/quant-ph/0112158
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89944
dc.subjectQuantum Physics
dc.subjectFunctional Analysis
dc.subjectProbability
dc.titleQuantum Finance: The Finite Dimensional Case
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