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Cryptographic approach to Quantum Metrology

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.
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https://hal.sorbonne-universite.fr/hal-03124086
Contributor : Nathan Shettell Connect in order to contact the contributor
Submitted on : Thursday, January 28, 2021 - 1:47:45 PM
Last modification on : Sunday, June 26, 2022 - 3:03:57 AM

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Nathan Shettell, Damian Markham, Elham Kashefi. Cryptographic approach to Quantum Metrology. Physical Review Applied, American Physical Society, 2022, ⟨10.1103/PhysRevA.105.L010401⟩. ⟨hal-03124086⟩

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