I saw an older thread with regard to this question, and it linked to a list of bug reports at
http://tinyurl.com/zimbugs. In viewing that list, it appears as though the issue of the zimbra outlook connector working with office 2010 64-bit seems to have been fixed.
However, I cannot find a download for this addon anywhere. My institution is currently on server version 6.0.7_GA_2476.RHEL4. And, they've installed 64-bit versions of Office on all the workstations, so I'm stuck with it.
Anyway, all I need is the Zimbra Connector for Outlook 2010 64-bit that works with the server version I mentioned above. Perhaps someone has one offered by their business/institution?