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Abstract: Bounded uncertainty relations provide the minimum value of the uncertaintyassuming some additional information on the state. We derive analytically anuncertainty relation bounded by a pair of constraints, those of purity andGaussianity. In a limiting case this uncertainty relation reproduces thepurity-bounded derived by V I Man-ko and V V Dodonov and theGaussianity-bounded one Phys. Rev. A 86, 030102R 2012.



Author: A. Mandilara, E. Karpov, N. J. Cerf

Source: https://arxiv.org/







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