This option is for those who don't have a turbo controller on hand, but want a faster method than grinding out the battles manually (as in Quick Battle). However, it does require you to have a willing friend, or start up a gaming session with someone else who owns SCV.
(This method was also stated in my Conqueror of the Arena solution, as they use basically the same method)
Set up a player match with your partner, ensuring that you set the round limit to ONE round. From here, I recommend picking a small map to easily ring out your enemies on. I suggest Mt. Fuji the Holy (the level with the raft), as it's both miniscule, and has no walls to prevent ring outs. From here, choose a character that has easy ring out capabilities and repeatedly ring out your opponent. (For example, Raphael's Vertical throw has good distance and ring-out capabilities).
For those who just don't know who to use, I can recommend Aeon; just repeatedly use 66K (or Right, Right, Kick) to do a charge which has great knockback distance.
This will earn you significant player points towards gaining levels quickly.
The other method I can offer is for those who don't have/want an SCV partner, but it is quite slow, and can get very tedious.
Browse to the Quick Battle menu. Open the search criteria menu, and set the search criteria to Europe for region, and Beginner for strength. (Once you've won against the character for the first time, you can also turn on Past Wins First)
Look through the list to find a character named Radadak, with the title Immobile Man. I choose this character as he uses the Yoshimitsu style, forcing the map to be the above Mt. Fuji map for easy ring-outs, but there may be better characters to farm on. From here, use the method as detailed above; pick an easy ring-out character and go for ringouts.
The downside to this is that there are 3 rounds required for victory, and the enemy will be attempting to fight back or block your attacks (albeit poorly). As such, it takes significantly longer to achieve your goal, but it allows for solo grinding of level points.