A320 FLT CREW EXPERIENCES AN ENGINE STALL AT FL360 AND DIVERTS AFTER THE ENGINE CANNOT BE MADE TO OPERATE ABOVE IDLE.

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CAPT PF IN CRUISE FL360; .78 MACH WITH AUTOPLT ON. ENG #2 STALL ECAM. CAPT XFERRED PF AND RADIOS TO FO WHILE PULLING THROTTLE #2 TO IDLE. AS PER FLT MANUAL PROCS; RECOVERED ENG #2 -- THOUGH FF WAS A 2800 LBS (400 LBS HIGHER THAN L SIDE) AND EGT WAS 450 DEGS C (100 DEGS C HIGHER THAN L SIDE). A DISCUSSION WITH MAINT AND DISPATCH WAS INITIATED TO DETERMINE IF THE CRITERIA FOR DEGRADED ENG EXISTED. WHILE DISCUSSING WITH MAINT AND DISPATCHER; AND STARTING A DSCNT TOWARDS ZZZ1; ENG #2 STALL ECAM RECURRED. AT THIS POINT THE FLT WAS OVER ZZZ AND THE DECISION WAS MADE TO DECLARE AN EMER AND DIVERT TO ZZZ. THE CREW TREATED THE APCH LIKE A SINGLE ENG APCH THOUGH ENG #2 WAS KEPT RUNNING AT IDLE. ENG #2 WHILE AT IDLE DID NOT SHOW ANY FURTHER IRREGULARITIES. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR STATED THAT WHAT ACTUALLY INITIATED THE ENGINE FAILURE IS UNKNOWN; HOWEVER ON POST FLIGHT IT WAS DISCOVERED THAT MANY COMPRESSOR BLADES HAD BEEN DAMAGED OR DESTROYED. RPTR NOTED THAT RECENT TRAINING MADE THIS EMERGENCY ALMOST A NON EVENT.