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Quantum Gates and Quantum Circuits of Stock Portfolio

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  • Ovidiu Racorean

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-qubits 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-qubits quantum gates that form a quantum code. Deciphering this mysterious quantum code of the stock market is an issue for future investigations.

Suggested Citation

  • Ovidiu Racorean, 2015. "Quantum Gates and Quantum Circuits of Stock Portfolio," Papers 1507.02310, arXiv.org, revised Jul 2015.
    • Handle: RePEc:arx:papers:1507.02310
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    References listed on IDEAS

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    1. Ovidiu Racorean, 2014. "Crossing Stocks and the Positive Grassmannian I: The Geometry behind Stock Market," Papers 1402.1281, arXiv.org, revised Feb 2014.
    2. Ovidiu Racorean, 2014. "Braided and Knotted Stocks in the Stock Market: Anticipating the flash crashes," Papers 1404.6637, arXiv.org, revised Jun 2014.
    3. Z. Fan & H. de Garis, 2010. "Braid matrices and quantum gates for Ising anyons topological quantum computation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 74(3), pages 419-427, April.
    4. Ovidiu Racorean, 2014. "Decoding Stock Market Behavior with the Topological Quantum Computer," Papers 1406.3531, arXiv.org.
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    1. Ovidiu Racorean, 2014. "Decoding Stock Market Behavior with the Topological Quantum Computer," Papers 1406.3531, arXiv.org.
    2. Ovidiu Racorean, 2014. "Braided and Knotted Stocks in the Stock Market: Anticipating the flash crashes," Papers 1404.6637, arXiv.org, revised Jun 2014.

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