# Cryptographic quantum metrology

## TL;DR

This paper introduces a cryptographic quantum metrology framework that ensures secure, optimal parameter estimation with cheat-sensitivity, combining quantum cryptography and metrology for multi-party scenarios.

## Contribution

It presents a novel protocol for secure quantum parameter estimation that is cheat-sensitive and unconditionally secure under certain conditions, integrating cryptography with quantum metrology.

## Key findings

- Protocols achieve optimal precision with cheat-sensitivity.
- Adversaries can access limited information without detection.
- Unconditional security is possible with single-channel access.

## Abstract

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.