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Multiscale energy profile of maximally nonlocal quantum CHSH scenarios. (English) Zbl 07409886

Summary: The outcomes measured by Alice and Bob in quantum CHSH scenarios are collected as digital signals and decomposed into a set of trend and fluctuation subsignals. We show that the shortest scales subsignals contain the highest energy concentrations. Later, the subsignals’ energy is characterized in terms of the entanglement degree. For maximally entangled qubits, the dominant energy in the signals measured locally by the observers is the fluctuation energy (ratios from 0.5 to 1), whereas in the signals considering the outputs of both parties is the trend energy (ratios from 0.5 to 0.75). The energy profile attained is a key step toward the compression of quantum signals via wavelet techniques.

MSC:

81-XX Quantum theory
82-XX Statistical mechanics, structure of matter
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