We report observations of the CO (3-2) and HCO+ (4-3) lines toward H14
13+117, the z = 2.56 ''cloverleaf'' quasar, obtained simultaneously wi
th the BIMA. These observations, with beam size 2.8 x 2.4, confirm the
CO (3-2) emission redshifted to 3 mm wavelength observed at lower res
olution by Barvainis and coworkers. We find an upper limit to the HCO (4-3)/CO (3-2) intensity ratio of 0.33. This suggests that the mean d
ensity of the molecular gas, averaged over the beam, is lower than the
10(7) cm(-3) ''critical density'' of the HCO+ (4-3) line for collisio
nal excitation. The implications of this limit depend primarily on the
size scale probed by the observations. The physical conditions appear
generally consistent with an average over molecular complexes in the
central kiloparsecs of nearby starburst galaxies but may differ from t
hose in the inner 300 pc of NGC 1068, the active nucleus with the best
studied molecular medium.The technique of simultaneous line observati
on at millimeter wavelengths, which minimizes relative calibration unc
ertainties, is especially valuable for the broad, weak lines from high
-redshift objects far which accurate absolute calibration is troubleso
me. We note several diagnostic molecular line pairs, redshifted into t
he 3 mm band, accessible to simultaneous measurement with the present
generation of millimeter interferometers.