Back story: At work we deal with confidential data, however our desk layout does not allow for screen privacy. We do not a privacy screens and are not allowed to take apart our screens.
In searching I found this question: What happens if you remove the polarization filter from a computer monitor?
Summary: You can take apart the screen and remove the polarizing layer, and then wear polarized shades or something to see the screens contents.
As mentioned above, I can not take apart the work LCD-TFT screen. But it would it be possible to add (tape) a polarized layer (from home) on top.
Question: Would adding a new polarizing layer on-top of an unmodified screen to make it invisible to the naked eye?
From my vary limited understanding (googling) of physics and LCDs I am thinking the light would be re-twisted by the additional layer. I apologize in advance I know little about physics so please keep it basic. I would like to know yes/no and the scientific reason why.