Pseudorandom (Function-Like) Quantum State Generators: New Definitions and Applications

نویسندگان

چکیده

AbstractPseudorandom quantum states (PRS) are efficiently constructible that computationally indistinguishable from being Haar-random, and have recently found cryptographic applications. We explore new definitions, properties applications of pseudorandom states, present the following contributions: 1. New Definitions: study variants function-like state (PRFS) generators, introduced by Ananth, Qian, Yuen (CRYPTO’22), where pseudorandomness property holds even when generator can be queried adaptively or in superposition. show feasibility these assuming existence post-quantum one-way functions. 2. Classical Communication: PRS generators with logarithmic output length imply commitment encryption schemes classical communication. Previous constructions such required 3. Simplified Proof: give a simpler proof Brakerski–Shmueli (TCC’19) result polynomially-many copies uniform superposition random binary phases Haar-random states. 4. Necessity Computational Assumptions: also secure logarithmic, larger, key necessarily requires computational assumptions.

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ژورنال

عنوان ژورنال: Lecture Notes in Computer Science

سال: 2022

ISSN: ['1611-3349', '0302-9743']

DOI: https://doi.org/10.1007/978-3-031-22318-1_9