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Contradiction of Quantum Mechanics with Local Hidden Variables for Quadrature Phase Amplitude Measurements

Contradiction of Quantum Mechanics with Local Hidden Variables for Quadrature Phase Amplitude Measurements

We demonstrate a contradiction of quantum mechanics with local hidden variable theories for continuous variable quadrature phase amplitude (``position'' and ``momentum'') measurements, by way of a violation of a Bell inequality. For any quantum state, this contradiction is lost for situations where the quadrature phase amplitude results are always macroscopically …