International Association for Cryptologic Research

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Cryptography in the Common Haar State Model: Feasibility Results and Separations

Authors:
Prabhanjan Ananth , UCSB
Aditya Gulati , UCSB
Yao-Ting Lin , UCSB
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Conference: TCC 2024
Abstract: Common random string model is a popular model in classical cryptography. We study a quantum analogue of this model called the common Haar state (CHS) model. In this model, every party participating in the cryptographic system receives many copies of one or more i.i.d Haar random states. We study feasibility and limitations of cryptographic primitives in this model and its variants: 1) We present a construction of pseudorandom function-like states, that is optimal in terms of its query bound, with statistical security. As a consequence, by suitably instantiating the CHS model, we obtain a new approach to construct pseudorandom function-like states in the plain model. 2) We present new separations between pseudorandom function-like states (with super logarithmic length) and quantum cryptographic primitives, such as interactive key agreement and bit commitment, with classical communication. To show these separations, we show the indistinguishability of identical versus independent Haar states against LOCC (local operations, classical communication) adversaries.
BibTeX
@inproceedings{tcc-2024-34769,
  title={Cryptography in the Common Haar State Model: Feasibility Results and Separations},
  publisher={Springer-Verlag},
  author={Prabhanjan Ananth and Aditya Gulati and Yao-Ting Lin},
  year=2024
}