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Leggett-Garg Inequality and Quantumness Under the Influence of Random Telegraph Noise

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Abstract

The violation of the Leggett-Garg inequality and the quantum witness of a two-level system are investigated under the influence of stochastic dephasing which is described by a non-stationary and unbalanced random telegraph noise. An extended version of the characteristic function of the noise is derived by making use of the Lie algebra method. It is found how the maximum violation time of the Leggett-Garg inequality depends on the ratio of dephasing time of the two-level system and correlation time of the noise. It is also shown that to observe the violation, unsharpness of the measurement must be smaller as the correlation time of the stochastic process is shorter. Furthermore decay of the quantum witness of the two-level system is investigated. It is shown that the quantum witness is equivalent to fidelity difference in the quantum teleportation that uses two different entanglement resources under the influence of the common noise.

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  1. Graduate School of Humanities and Sciences, Ochanomizu University, 2-1-1 Otsuka, Bunkyo-ku, Tokyo, 112-8610, Japan

    Masashi Ban

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Ban, M. Leggett-Garg Inequality and Quantumness Under the Influence of Random Telegraph Noise. Int J Theor Phys 58, 2893–2909 (2019). https://doi.org/10.1007/s10773-019-04172-x

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