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Roy (Homi Bhabha Centre for Science Education, Tata Institute of Fundamental Research","submitted_at":"2017-11-28T12:54:20Z","abstract_excerpt":"There are heuristic arguments proposing that the accuracy of monitoring position of a free mass $m$ is limited by the standard quantum limit (SQL):$\\sigma^2 (X(t)) \\geq \\sigma^2 (X(0)) +(t^2/m^2) \\sigma^2 (P(0))\\geq \\hbar t/m$, where $\\sigma^2 (X(t))$ and $\\sigma^2 (P(t))$ denote variances of the Heisenberg representation position and momentum operators. Yuen discovered that there are contractive states for which this result is incorrect. 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