Three close ideas, but not the same
Low carb is a broad family: carbohydrates are reduced compared with a standard diet, but the person may still include vegetables, berries, dairy, dark chocolate, occasional starches or targeted carbohydrates depending on goals and activity.
Keto is more precise: carbohydrates are kept low enough, protein is adjusted, and fat becomes the main energy source so that the body produces more ketones. It is not just “less sugar”; it is a deliberate shift in fuel strategy.
Ketosis is not a diet. It is a state. You can enter it overnight, after fasting, between meals, after training or with very low carbohydrate intake. You can also leave it temporarily without having failed your diet, especially if you train hard or eat a protein-rich meal.