First - what is Zimbra? According to their website,

Zimbra is open source server and client software for messaging and collaboration - email, group calendaring, contacts, and web document management and authoring.

Simply put, it is a "MS Exchange for Linux"-type of an application without the associated licensing costs of MS Exchange, of course!

falko Timme of Howtoforge provides a 3-paged install guide on installing Zimbra on Ubuntu.

Just a word of warning, though. Zimbra has two versions - open source, which we are all familiar with and the commercial version, which costs money. Check out the differences and see where your organization falls in.