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It is shown in the present Letter that the quantum noise due to high laserintensities in Michelson interferometer for gravitational waves detection canbe reduced by sending squeezed vacuum states to the 'dark' port of theinterferometer. The experimental details of such physical system have beendescribed in a recent article by Barak and Ben-Aryeh (JOSA-B, 25, 361(2008)).In another very recent article by Voronov and Weyrauch (Phys. Rev.A 81, 053816(2010)) they have followed our methods for treating the same physical system,and have pointed out an error in the sign of one of our expressions thusclaiming for the elimination of our physical results. I show here a method bywhich the expectation value for the photon number operator is increased and atthe same time the standard deviation is reduced. Although due to the mistake insign in our expression the physical method for obtaining such result isdifferent from our original study [1], the main physical effect can remain .

Reduction of quantum noise and increase of amplification of gravitational waves signals in Michelson interferometer by the use of squeezed states