SCT CTLR EXPERIENCED LOSS OF SEPARATION VECTORING TFC OFF LAX AND SMO.

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HAWKER JET (HS25) DEPARTED LAX RWY 25L FOR VNY; CLBED HDG 250 DEGS TO 5000 FT. TBM OR MERIDIAN (ASSUME TBM) DEPARTED SMO ABOUT THE SAME TIME CLBING TO 3000 FT HDG 250 DEGS. WHEN THE HS25 LEFT 3000 FT; I TURNED HIM N TOWARD SILEX INTXN (PER SOP). I LEFT THE TBM AT 3000 FT AND ISSUED TFC TO BOTH ACFT. THE TBM HAD UNKNOWN VFR TFC OFF HIS R AT 3000 FT SO; FOR THIS AND ANOTHER REASON STATED BELOW; I DID NOT TURN HIM AT THIS POINT. WHEN THE HS25; NOW ESTABLISHED ON A NBOUND HDG; LEFT 4000 FT FOR 5000 FT I TURNED THE TBM R TO 070 DEGS AND CLBED HIM TO 4000 FT (I THINK). WHEN I OBSERVED THE TBM TURN AND CLB THROUGH 4200 FT I ISSUED THE HAWKER TFC NOW AT 2 O'CLOCK POS; LESS THAN 1 MI. THE TBM RPTED TFC IN SIGHT AND APPEARED TO LEVEL AT 4500 FT. THE CONFLICT ALERT WENT OFF AS I ISSUED TFC. I THEN CLBED THE TBM TO 5000 FT. MY UNCERTAINTY WITH RESPECT TO THE ALT I ASSIGNED THE TBM IS BASED ON THE COORD THAT WAS TAKING PLACE IN THE RECENTLY RECONFIGURED AIRSPACE/PROCEDURAL ENVIRONMENT IN WHICH THIS SCENARIO OCCURRED. IMMEDIATELY AFTER DEP I INITIATED A HDOF TO THE LAKR CTLR. HE ACCEPTED THE HDOF BUT CALLED ME AND TOLD ME THAT HE WOULD NEED MY TFC LEVEL AT 5000 FT WHEN IT ENTERED HIS AIRSPACE. WHEN HE SAW MY ACFT TURN EBOUND JUST OUT OF 3000 FT; HE CALLED AGAIN TO POINT OUT NBOUND TFC AT 4000 FT. I DON'T THINK THAT HE HAD NOTICED THE CLB RATE OF MY ACFT. IN ANY CASE; HIS INSISTENCE THAT MY ACFT HAD TO BE AT 5000 FT MAY HAVE INFLUENCED ME TO INADVERTENTLY SAY '5000 FT.' I HONESTLY THINK THAT THE PLT BUSTED THE ALT ASSIGNMENT.