2005 Camry has Low Power

Who knows? you got a used engine, condition unknown- and not original equipment- if you cut corners to save money, there might be less than optimal results-

How many miles on that "burned up" engine. Save all of your receipts. You MIGHT be in a position to receive some money from Toyota. Assuming the replacement engine was a good running engine, one must ask...what happened during installation? You might want to get the opinion from another repair facility. Ask them to test Exhaust System Back Pressure. When an engine "burns up" it usually badly contaminates the CAT and muffler causing an exhaust system pack pressure. If your original engine "ran out of oil"...and had less than 150,000 miles on it.....Toyota may have a service bulletin to cover your repair costs. Good Luck.

Thanks for the response. My daughter actually burned it up. It got a radiator leak and she ran it out of water. The replacement engine had about 39K mile and compression checked out by both the salvage yard and the installation shop. I have already had the back pressure checked on the exhaust and it is fine (good thought). I am almost down to the fuel injectors. Do you know if there are any differences between a California vs other 49 states>

I do not know specifically what the differences may be between Calf and Fed(49 states) might be. Under the hood of this vehicle there should be an emissions label indicating what the original engine was. Check out the label indicating the Vacuum Hose routings. Look at the engine and see if it's the same. I cannot imagine every Calif. car runs as you describe. The next step in this diagnosis would be to put a Scan Tool into the DLC and check data from the computer. The folks who installed this engine should have a scan tool.