Paper 2025/489

Translating Between the Common Haar Random State Model and the Unitary Model

Eli Goldin, New York University
Mark Zhandry, NTT
Abstract

Black-box separations are a cornerstone of cryptography, indicating barriers to various goals. A recent line of work has explored black-box separations for quantum cryptographic primitives. Namely, a number of separations are known in the Common Haar Random State (CHRS) model, though this model is not considered a complete separation, but rather a starting point. A few very recent works have attempted to lift these separations to a unitary separation, which are considered complete separations. Unfortunately, we find significant errors in some of these lifting results. We prove general conditions under which CHRS separations can be generically lifted, thereby giving simple, modular, and bug-free proofs of complete unitary separations between various quantum primitives. Our techniques allow for simpler proofs of existing separations as well as new separations that were previously only known in the CHRS model.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
Keywords
quantumowsgone way puzzlesCHRSswapLOCCblack box separationsidealized models
Contact author(s)
eli goldin @ nyu edu
mzhandry @ gmail com
History
2025-03-17: approved
2025-03-14: received
See all versions
Short URL
https://ia.cr/2025/489
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2025/489,
      author = {Eli Goldin and Mark Zhandry},
      title = {Translating Between the Common Haar Random State Model and the Unitary Model},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/489},
      year = {2025},
      url = {https://eprint.iacr.org/2025/489}
}
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