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Loophole-Free Interferometric Test of Macrorealism Using Heralded Single

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Summary: LG tests are used to explore quantum coherence on the macroscopic scale, with examples from interference experiments and harmonic oscillator systems. Violations of LG inequalities are found to be accompanied by destructive interference, with nontrivial regimes where destructive interference exists but the inequalities are satisfied. Recent analyses on Mach-Zehnder interferometers show similar features, while surprising relationships between LG inequalities and NSIT conditions are observed for non-dichotomic variables. Further analysis on a simple harmonic oscillator demonstrates two-time LG violations with a gaussian initial state.

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