to the site
Can this be replicated in my backyard?
The article says terra preta was created over hundreds or a thousand years, so, I'm afraid not. That's hundreds of growing cycles and burning etc.
Some of us here are avid, but at the same time maybe casual, compost makers (see the link from stone) and that's where I am. = Keeping all one's organic material onsite and making it part of a cycle ending in soil organic content and this may include wood ash and charcoal if available.
Weigh the effort you put into any process versus the actual difference it will make- bear in mind none of us here live on natural Amazon rainforest land, so we don't have the same conditions that help year round decay- which on one hand keeps 'composting' going and on the other hand is why the Amazon soil becomes infertile quickly. Warmth and rain keep all the plants growing, sucking up nutrients, and washing away a lot of stuff.