1. Cryptographic approach to quantum metrology
- Author
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Shettell, Nathan, Kashefi, Elham, Markham, Damian, Information Quantique [LIP6] (QI), LIP6, Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Japanese French Laboratory for Informatics (JFLI), National Institute of Informatics (NII)-The University of Tokyo (UTokyo)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), and University of Edinburgh more...
- Subjects
Quantum Physics ,[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] ,0103 physical sciences ,FOS: Physical sciences ,010306 general physics ,Quantum Physics (quant-ph) ,01 natural sciences ,010305 fluids & plasmas ,Computer Science::Cryptography and Security - 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., Comment: 3 figures, appendix more...
- Published
- 2022
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