I'll reply because it seems like the question is interesting to some...
The short answer is no, they are not the same.
Ketosis occurs when there is incomplete oxidation of fatty acids. As long as enough carbohydrate is available, fats will be burned completely.

Excerise uses energy at a higher rate than when you are just sitting around but it does not produces energy in a fundamentaly different way.

If you are already in a fat-burning state, you will most likely burn a higher percentage of fat during the workout. But it depends somewhat on the type of work also. Anaerobic, high intensity will use ATP/CP pathways first, then glycogen, then fat.
Just sitting around you're burning mostly fat. Low intesity your buring mostly fat.
This does not mean that low intensity is better for buring fat however. You may burn more calories during high intensity training, both during and after the activity, and therefore end up with more of a calorie deficit and thus more fat buring over the course of the day.

Ketosis is mostly a function of lack of carbohydrate not induced by training. The exception is that if you do a workout that depletes glycogen you will then have less carbohydrate in your body and may go into ketosis faster than if you had not worked out.