Paper 2026/2000

Information-Theoretic Hiding in Quantum Marginal Fibers

Jaroslav Hruby, Group of Cryptology, Union of Czech Mathematicians and Physicists (GCUCMP)
Abstract

We study information-theoretic hiding when an adversary has unrestricted quantum processing but physical access to only one region from a declared family of subsystems. Perfectly hidden classical codewords lie in one fiber of the corresponding marginal map. We organize trace-distance diameter, orthogonal zero-error packing, and exact coherent subspace hiding on this fixed-marginal set, distinguishing equality of basis-state marginals from the cross-term conditions of quantum error correction.

Note: The cryptographic motivation was presented in preliminary, non-proceedings form at the EUROCRYPT 2026 Rump Session. The present manuscript provides the detailed mathematical development and proofs.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
Keywords
quantum cryptographyquantum marginal problem
Contact author(s)
hruby jar @ centrum cz
History
2026-09-14: approved
2026-09-13: received
See all versions
Short URL
https://ia.cr/2026/2000
License
No rights reserved
CC0

BibTeX

@misc{cryptoeprint:2026/2000,
      author = {Jaroslav Hruby},
      title = {Information-Theoretic Hiding in Quantum Marginal Fibers},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/2000},
      year = {2026},
      url = {https://eprint.iacr.org/2026/2000}
}
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