Master Key or Breaking Smartphone Encryption

Imagine the situation where every house lock is made by one of three manufactures - Ambroid, Microlock, and Orange. All of the locks take your fingerprint to open, but each analyzes your fingerprint a little differently. Now the police need to enter your home (with justification). They do not have a fingerprint match, so they require Orange to create a keyhole for every lock that when using the proper key, the door will open.