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On Split-State Quantum Tamper Detection

Authors:
Thiago Bergamaschi , UC Berkeley
Naresh Boddu , NTT Research
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Conference: ASIACRYPT 2025
Abstract: Tamper-detection codes (TDCs) are fundamental objects at the intersection of cryptography and coding theory. A TDC encodes messages in such a manner that tampering the codeword causes the decoder to either output the original message, or reject it. In this work, we study quantum analogs of one of the most well-studied adversarial tampering models: the so-called $t$-split-state tampering model, where the codeword is divided into $t$ shares, and each share is tampered with ``locally". It is impossible to achieve tamper detection in the split-state model using classical codewords. Nevertheless, we demonstrate that the situation changes significantly if the message can be encoded into a multipartite quantum state, entangled across the $t$ shares. Concretely, we define a family of quantum TDCs defined on any $t\geq 3$ shares, which can detect arbitrary split-state tampering so long as the adversaries are unentangled, or even limited to a finite amount of pre-shared entanglement. Previously, this was only known in the limit of asymptotically large $t$. As our flagship application, we show how to augment threshold secret sharing schemes with similar tamper-detecting guarantees. We complement our results by establishing connections between quantum TDCs and quantum encryption schemes.
BibTeX
@inproceedings{asiacrypt-2025-36172,
  title={On Split-State Quantum Tamper Detection},
  publisher={Springer-Verlag},
  author={Thiago Bergamaschi and Naresh Boddu},
  year=2025
}