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arXiv · 1004.0844

Quantum Portfolios of Observables and the Risk Neutral Valuation Model

Fredrick Michael
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Abstract

Quantum Portfolios of quantum algorithms encoded on qbits have recently been reported. In this paper a discussion of the continuous variables version of quantum portfolios is presented. A risk neutral valuation model for options dependent on the measured values of the observables, analogous to the traditional Black-Scholes valuation model, is obtained from the underlying stochastic equations. The quantum algorithms are here encoded on simple harmonic oscillator (SHO) states, and a Fokker-Planck equation for the Glauber P-representation is obtained as a starting point for the analysis. A discussion of the observation of the polarization of a portfolio of qbits is also obtained and the resultant Fokker-Planck equation is used to obtain the risk neutral valuation of the qbit polarization portfolio.

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Fredrick Michael. 2010-04-02. Quantum Portfolios of Observables and the Risk Neutral Valuation Model. https://arxiv.org/abs/1004.0844

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