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This research establishes unconditional uncloneable encryption for messages of arbitrary length by leveraging Clifford unitaries, resolving previous uncertainty regarding statistical security in this domain. The scheme achieves polynomial encoding time relative to message length and the security parameter, marking a significant theoretical advance in quantum cryptographic protocols.
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Statistically secure uncloneable encryption of arbitrary messages

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arXiv:2607.28561v1 Announce Type: new Abstract: Unconditional uncloneable encryption of a single bit with efficient encryption and decryption is now possible. However, whether the extension to messages of arbitrary length achieves statistical security remains to be known. Using the fact that the encoding bases for the single-bit scheme known to be secure consist of a subset of the Clifford unitaries, we show that this scheme can be upgraded to achieve unconditional uncloneable encryption for messages of arbitrary length, with encoding time polynomial in the message length and security parameter. This establishes that one-time uncloneable encryption of arbitrary messages enjoys statistical security.

Abstract:Unconditional uncloneable encryption of a single bit with efficient encryption and decryption is now possible. However, whether the extension to messages of arbitrary length achieves statistical security remains to be known. Using the fact that the encoding bases for the single-bit scheme known to be secure consist of a subset of the Clifford unitaries, we show that this scheme can be upgraded to achieve unconditional uncloneable encryption for messages of arbitrary length, with encoding time polynomial in the message length and security parameter. This establishes that one-time uncloneable encryption of arbitrary messages enjoys statistical security.

arXiv:2607.28561 [quant-ph]

(or arXiv:2607.28561v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.28561 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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