Basically Apple try to sort out the battery issues in IOS 6 and that's why they introduce IOS 6.0.1.
Few settings you have to do to get rid of this issues
Turn down screen brightness
Turn off bluetooth
Turn off wifi if not currently connecting
Turn off iCloud Backup
Turn off Notifications
Turn of Location Services
Switch Mail to Manual Retrieval
Eliminate every app running in the background.
Set Auto-Lock to 1 minute
Turn off any extra sounds, like keyboard clicks
Turn off the iPod EQ
Use headphones instead of the speaker if you have to listen to audio or music
Turn down the screen brightness
Turn off Bluetooth when not using it
Turn off Wi-Fi when not using it
Turn off LTE when not using it
Turn off cellular app and media downloads.
Disable System Services
1.Open the Settings app.
2. Tap on Privacy.
3. Tap on Location Services.
4. Scroll down and tap on System Services.
5. You'll see a list of options, toggle the switch of each to the On or Off position.
BASICALLY TURN OFF EVERYTHING THAT YOU ARE NOT CURRENTLY USING!
Stop all services and if you still face the issue try to replace the phone from Apple