Cryptographic approach to Quantum Metrology
arXiv:2101.01762 · doi:10.1103/PhysRevA.105.L010401
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.
arXiv comment3 figures, appendix
References in corpus (24)
- Advances in Quantum Metrology
- Quantum metrology
- Advances in Quantum Cryptography
- Quantum metrology from a quantum information science perspective
- The elusive Heisenberg limit in quantum enhanced metrology
- A quantum network of clocks
- Exact and Approximate Unitary 2-Designs: Constructions and Applications
- Multi-parameter estimation in networked quantum sensors
- Compatibility in Multiparameter Quantum Metrology
- Authentication of Quantum Messages
- Multi-parameter Quantum Metrology
- Distributed Quantum Metrology and the Entangling Power of Linear Networks
- Verification of quantum computation: An overview of existing approaches
- Quantum one-time programs
- Interactive Proofs For Quantum Computations
- General framework for verifying pure quantum states in the adversarial scenario
- Quantum sensing networks for the estimation of linear functions
- Experimental demonstration of secure quantum remote sensing
- Cryptographic quantum metrology
- Quantum remote sensing with asymmetric information gain
- Precision bounds in noisy quantum metrology
- Quantum remote sensing under the effect of dephasing
- High-dimensional cryptographic quantum parameter estimation
- Authenticated teleportation and verification in a noisy network