Swift version: 5.0
Xcode ships with a fixed version of Swift, but that doesn't mean you need to use that version. In fact, it's possible to install multiple versions of the Swift toolchain, and switch between them as often as you need. At the time of writing, that means you can use Swift 5.0 with Xcode 10, and try out Swift development releases alongside.
All set? Start by going to https://swift.org/download/#snapshots and looking for the latest Swift snapshot. If you're on macOS you'll see a link for "Xcode", but there are also Linux downloads available. Don't click "Debugging Symbols" or "Signature" – either click Xcode or an Ubuntu version.
This downloads a file named something like swift-DEVELOPMENT-SNAPSHOT-2016-05-09-a-osx.pkg, which contains the most recently snapshot of Swift created from the mainline development branch. Double-click to launch the installer, then follow the on-screen instructions. Expect a full install to take up about 900MB.
Once the installer has finished, launch Xcode as normal. When it loads, go to the Xcode menu in the top-left corner, and choose Toolchains > Swift Development Snapshot YOUR-DATE-HERE (a).
You'll be prompted to restart Xcode, but when it relaunches it should say “Xcode 10.0 (10A255)” then beneath that "Swift Development Snapshot YOUR-DATE-HERE (a) Toolchain", signaling that you have installed and activated the snapshot.
That's it, now brace yourself: open any of your Swift projects, and press Cmd+B to build. You might get one or two (or fifty) compile errors.
When you're done admiring the latest and greatest Swift snapshot, you can switch back to your previous Swift version returning to the Toolchains menu item. When you revert back to the default Swift version, you can delete any snapshot you don't want by going to Xcode > Settings > Components, then hovering over it and clicking the small settings icon.
Available from iOS 7.0
This is part of the Swift Knowledge Base, a free, searchable collection of solutions for common iOS questions.