Quantum Gates and Quantum Circuits of Stock Portfolio

41 Pages Posted: 15 Jul 2015

Date Written: July 13, 2015

Abstract

In quantum computation, series of quantum gates have to be arranged in a predefined sequence that led to a quantum circuit in order to solve a particular problem. What if the sequence of quantum gates is known but both the problem to be solved and the outcome of the so defined quantum circuit remain in the shadow? This is the situation of the stock market. The price time series of a portfolio of stocks are organized in braids that effectively simulate quantum gates in the hypothesis of Ising anyons quantum computational model. Following the prescriptions of Ising anyons model, 1-qubit quantum gates are constructed for portfolio composed of four stocks. Adding two additional stocks at the initial portfolio result in 2-qubit quantum gates and circuits. Hadamard gate, Pauli gates or controlled-Z gate are some of the elementary quantum gates that are identified in the stock market structure. Addition of other pairs of stocks, that eventually represent a market index, like Dow Jones industrial Average, it results in a sequence of n-qubit quantum gates that form a quantum code. Deciphering this mysterious quantum code of the stock market is an issue for future investigations.

Keywords: braid of stocks, quantum gates, stock market quantum code, quantum circuits, topological quantum computation

JEL Classification: G13

Suggested Citation

Racorean, Ovidiu Sorin, Quantum Gates and Quantum Circuits of Stock Portfolio (July 13, 2015). Available at SSRN: https://ssrn.com/abstract=2630341 or http://dx.doi.org/10.2139/ssrn.2630341

Ovidiu Sorin Racorean (Contact Author)

Government of Romania ( email )

Bucharest
Romania

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