We present Karl G. Jansky Very Large Array (VLA) observations of the CO (2$-$1) line emission towards three far-infrared luminous quasars at $zsim6$: SDSS J231038.88$+$185519.7 and SDSS J012958.51$-$003539.7 with $sim0farcs6$ resolution and SDSS J205406.42$-$000514.8 with $sim2farcs1$ resolution. All three sources are detected in the CO (2$-$1) line emission -- one source is marginally resolved, and the other two appear as point sources. Measurements of the CO (2$-$1) line emission allow us to calculate the molecular gas mass even without a CO excitation model. The inferred molecular gas masses are (0.8$-$4.3) $times$ 10$^{10}$ $M_{odot}$. The widths and redshifts derived from the CO (2$-$1) line are consistent with previous CO (6$-$5) and [ion{C}{2}] measurements. We also report continuum measurements using the Herschel for SDSS J231038.88$+$185519.7 and SDSS J012958.51$-$003539.7, and for SDSS J231038.88+185519.7, data obtained at $sim140$ and $sim300$ GHz using the Atacama Large Millimeter/submillimeter Array (ALMA). In the case of SDSS J231038.88+185519.7, we present a detailed analysis of the spectral energy distribution and derive the dust temperature ($sim40$ K), the dust mass ($sim10^{9}$ $M_{odot}$), the far-infrared luminosity (8$-$1000 $mu$m; $sim10^{13}$ $ L_{odot}$) and the star formation rate (2400$-$2700 $M_{odot}$ yr$^{-1}$). Finally, an analysis of the photo-dissociation regions associated with the three high redshift quasars indicates that the interstellar medium in these sources has similar properties to local starburst galaxies.
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