In Prince of Persia: The Lost Crown, you have the ability to fully customize your touch controls from “Customize Mobile controls” option or to change the mapping of any compatible external controller.
 
To remap your button and key bindings:

For Touch Input- 
•  Open the pause menu in-game and select "System".
•  Select “Customize Mobile controls.”
•  Tap “Edit Controls” in the top area of the screen. Tap on the button you wish to customize.
•  Modify the transparency, position, size and alternative input schemes as you see fit.
•  Tap the gear icon to access the advanced remapping settings.
•  Tap “save” when you are happy with your updated controls. Test your new controls.
•  Exit with back button on top left area of the screen with the new control scheme applied.
 
You can restore the button back to default by tapping “Reset” when in “Edit controls” mode.
NOTE: Some sensitive areas do not allow access to Mobile controls customization.

For External Controllers- 
•  Open the pause menu in-game with your controller connected and select "System".
•  Select “Customize Controls”. Alternatively, you can choose "Options" and then "Controls" and select "Customise Controls".
•  Choose the button or key you would like to adjust.
•  Use "Modify input" and press the new button or key.
 
You can restore the button and key bindings back to default by using "Reset Inputs".