Continuous quantum measurement and It\^o formalism
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🪐 quant-ph
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continuousmeasurementquantumdifferentialpositionquantum-stochasticcalculusclosed
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A new quantum-stochastic differential calculus is derived for representing continuous quantum measurement of the position operator. Closed nonlinear quantum-stochastic differential equation is given for the quantum state of the observed particle. Possible physical realization of continuous position measurement is constructed.
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