Abstract
This paper studies the problem of quantum entanglement in an oscillating macroscopic mirror consisting of a modified Michelson interferometer in which one of the mirrors is free to oscillate about its center of mass. Previous works determined the interference visibility and the decoherence rate, among other things, assuming that the mirror starts in a normally distributed thermal state. Recommendations for design parameters were made based on their results. However, the initial thermal state could be non-Gaussian. The purpose of this investigation was to determine the interference visibility for initial thermal states of the mirror described by modified Gaussian distributions. This information was used to qualitatively determine the decoherence rate. The results of this study could be useful in quantum error correction to accurately determine the amount of environmentally induced decoherence, which negatively affects the computational results of quantum computers.
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