  We develop a general framework for parameter estimation that allows only
trusted parties to access the result and achieves optimal precision. The
protocols are designed such that adversaries can access some information
indeterministically, but only at the risk of getting caught
(cheat-sensitivity); under the assumption that the adversary can access the
channel only once, then the protocol is unconditionally secure. By combining
techniques from quantum cryptography and quantum metrology, we devise
cryptographic procedures for single parameter estimation when an arbitrary
number of parties are involved.
