There are a few ways to dry nail polish quickly:
1. Cold air: Blow cold air on your nails from a hair dryer. The cold air will help the polish set faster.
2. Ice water: Dip your nails in ice water for a few minutes. This will help the polish set quickly and harden.
3. Nail polish dryer: Use a nail polish dryer, which uses UV or LED light to cure the polish instantly.
4. Quick-dry topcoat: Apply a quick-dry topcoat over your polish. This will help the polish dry faster and protect it from chips and scratches.
5. Avoid touching: Avoid touching your nails until the polish is completely dry to prevent smudging.

Here are some additional tips show:
- Apply thin coats: Apply thin coats of polish instead of thick ones. Thick coats will take longer to dry and are more likely to smudge.
- Let your nails air dry: After applying the nail polish, let your nails air dry for a few minutes before using a nail polish dryer or dipping them in ice water.
- Avoid using too much nail polish remover: Using too much nail polish remover can cause the polish to dry slowly and become brittle.