Paper 2024/543
A Note on the Common Haar State Model
Abstract
Common random string model is a popular model in classical cryptography with many constructions proposed in this model. We study a quantum analogue of this model called the common Haar state model, which was also studied in an independent work by Chen, Coladangelo and Sattath (arXiv 2024). In this model, every party in the cryptographic system receives many copies of one or more i.i.d Haar states. Our main result is the construction of a statistically secure PRSG with: (a) the output length of the PRSG is strictly larger than the key size, (b) the security holds even if the adversary receives $O\left(\frac{\lambda}{(\log(\lambda))^{1.01}} \right)$ copies of the pseudorandom state. We show the optimality of our construction by showing a matching lower bound. Our construction is simple and its analysis uses elementary techniques.
Metadata
- Available format(s)
-
PDF
- Category
- Foundations
- Publication info
- Preprint.
- Keywords
- Quantum cryptography
- Contact author(s)
-
prabhanjan @ cs ucsb edu
adityagulati @ ucsb edu
yao-ting_lin @ ucsb edu - History
- 2024-04-08: approved
- 2024-04-08: received
- See all versions
- Short URL
- https://ia.cr/2024/543
- License
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CC BY
BibTeX
@misc{cryptoeprint:2024/543,
author = {Prabhanjan Ananth and Aditya Gulati and Yao-Ting Lin},
title = {A Note on the Common Haar State Model},
howpublished = {Cryptology ePrint Archive, Paper 2024/543},
year = {2024},
note = {\url{https://eprint.iacr.org/2024/543}},
url = {https://eprint.iacr.org/2024/543}
}
