Google Nexus 4 on Verizon?
It would be a wast of time (and money). The phone is not compatible with Verizon's network.

Verizon is a CDMA network, and the Nexus 4 from Google is GSM phone.

In the past Google has met-in-the-middle with Verizon and released the CDMA compatible Galaxy Nexus - this time there appear to be no plans on releasing a CDMA compatible Nexus 4 (possibly due to the slow turnaround time Verizon had on releasing updates to the Galaxy Nexus).