As many of you already know, the Evad3rs Jailbreak Team has officially release the iOS 6.1 jailbreak for the iPad, iPhone and iPod Touch. This is the first jailbreak that supports the iPhone 5 and iPad Mini. It is very simple to jailbreak your iPad Mini or any other iOS device for that matter running iOS 6 or higher.
Here are the steps to jailbreak
Step 1: Download evasi0n (via jailbreak dev website or mirrors below)
Evasi0n: Mac (mirror 1, 2, 3) – Windows (mirror 1, 2, 3)- Linux (mirror 1, 2, 3)
Step 2: Run evasi0n.exe as administrator.
Step 3: It is recommended to disable your passcode on your device if there is one enabled.
Step 4: Plug in your iPad, iPhone or iPod Touch into your PC. Ensure your device is running iOS 6.x.
Step 5: Evasi0n will indicate that your device has been, the jailbreak button will be enabled with a successful applicability check.
Step 6: Click the Jailbreak button to begin the jailbreaking process for your device.
Step 7: Automatic steps being performed, watch and wait!
Step 8: The next screen that will need your input will ask that you unlock your iPad, iPhone or iPod Touch, you will now see a new app icon on your Home screen named “Jailbreak”. Select the Jailbreak app icon one time, the screen will go black and return to the Home screen...ONLY TAP ONCE!
Step 9: Again, be patient while automatic steps are being performed.
Step 10: Done message will be shown on the evasi0n tool. Your device will reboot...possibly multiple times.
Step 11: Evasi0n logo will be displayed when everythinng is nearly complete, then you will return to the lockscreen.
Step 12 (Optional): Donate a couple bucks to the @evad3rs via the donate link toward the bottom of the Evasion homepage.
You can now begin to enjoy your now jailbroken device running iOS 6.