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The purpose of the work is to increase the chi-square test power by analyzing the spectrum of output states of this test discrete form. The refusal from a hypothesis of a spectrum continuity of a chi-square molecule output states allows you to observe 22 spectral lines of different probability amplitudes on a sample of 11 experiments. It is proposed to obtain a mode of support for the quantum superposition of the output states of the chi-square molecule through the random selection of 11 experiments from the general population of 21 experiments. This makes it possible to obtain about 200,000 different states of the molecule, which is quite sufficient to estimate the 8-level states of the probability amplitude of 22 output spectral lines. In the case of the histogram with 6 intervals, the hypothesis of a continuous spectrum of the chi-square test for a sample of 11 experiments does not allow us to distinguish between normal and uniform laws of data distribution with a confidence probability acceptable for practice. The situation changes dramatically if the spectrum discrete nature of the chi-square molecule states is taken into account. It is possible to obtain significantly different digital portraits of the normal and uniform data distribution. Their differences are about 40 bits as per the Hamming distance. The chi-square molecule can be interpreted as a certain square neuron with a Gammerstein structure. Simulation of Schrödinger equations on an ordinary computer has exponential computational complexity in relation to the number of electrons (degrees of freedom or experiments). For this reason, the reproduction of quantum computations on 22 qubits and more within the framework of quantum mechanics on an ordinary computer is technically difficult to perform. A completely different situation arises with the support of quantum superposition of the chi-square molecule. The support of quantum superposition of the chi-square molecule has linear computational complexity. As a consequence, it is possible to implement 22-qubit, 222-qubit, 2222-qubits, and higher quantum computations on an ordinary computer.

POSSIBILITY TO INCREASE THE CHI-SQUARE TEST POWER ON SMALL SAMPLES BY MEANS OF TRANSITION TOWARDS ANALYZING OF IT’S DISCRETE SPECTRUM