Cryptographic approach to Quantum Metrology

TL;DR

This paper introduces a cryptographic framework for quantum metrology to secure resource estimation against malicious interference, linking cryptographic soundness to measurement accuracy.

Contribution

It develops a cryptographically motivated approach to quantum metrology, providing protocols that bound resource uncertainty and quantify bias introduced by adversaries.

Findings

Protocols effectively bound resource uncertainty in quantum metrology.

Trade-offs between implementation complexity and efficiency are demonstrated.

Quantitative analysis of bias and precision loss due to malicious interference.

Abstract

We consider a cryptographically motivated framework for quantum metrology in the presence of a malicious adversary. We begin by devising an estimation strategy for a (potentially) altered resource (due to a malicious adversary) and quantify the amount of bias and the loss in precision as a function of the introduced uncertainty in the resource. By incorporating an appropriate cryptographic protocol, the uncertainty in the resource can be bounded with respect to the soundness of the cryptographic protocol. Thus the effectiveness of the quantum metrology problem can be directly related to the effectiveness of the cryptography protocol. As an example, we consider a quantum metrology problem in which resources are exchanged through an unsecured quantum channel. We then construct two protocols for this task which offer a trade-off between difficulty of implementation and efficiency.