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Sequential Measurement of Conjugate Variables as an Alternative Quantum State Tomography

Sequential Measurement of Conjugate Variables as an Alternative Quantum State Tomography

It is shown how it is possible to reconstruct the initial state of a one-dimensional system by measuring sequentially two conjugate variables. The procedure relies on the quasi-characteristic function, the Fourier-transform of the Wigner quasi-probability. The proper characteristic function obtained by Fourier-transforming the experimentally accessible joint probability of observing "position" …