You will not be able to carry your Minecraft: Xbox 360 Edition saves over to the Xbox One Edition, Microsoft has said.
When posed the question as to whether saves could be shared across versions, Microsoft Game Studios boss Phil Spencer responded in the negative, saying that the two games are incompatible.
“No, it’s a new product on Xbox One,” he said. “We’re actually updating it in pretty significant ways for the new platform. Bigger worlds, which don’t translate between the Xbox 360 and the Xbox One.”