Welcome to the resource topic for 2024/543
Title:
A Note on the Common Haar State Model
Authors: Prabhanjan Ananth, Aditya Gulati, Yao-Ting Lin
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.
ePrint: https://eprint.iacr.org/2024/543
See all topics related to this paper.
Feel free to post resources that are related to this paper below.
Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.
For more information, see the rules for Resource Topics .