New York quitclaim laws are similar to most other states with a few exceptions.
1. Transfer of Interest
You can only use a quitclaim deed to transfer your interest in the property and nothing more.
If you own a life estate interest in a parcel of property you cannot transfer a fee simple absolute interest in the property. If you own a leasehold interest in a parcel of property you cannot transfer a life estate interest in the property.
At its core, the person granting a quitclaim deed is really only saying "I'm not representing that I have any interest in the property. I'm only representing that if I have any interest in the property I'm transferring that interest to the grantee."
2. Unclear Language
If the language in the quitclaim deed is clear and unambiguous, you cannot bring in outside evidence to prove the deed intended to transfer something other than what is stated in the document.