Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning

arXiv:2604.1015566.11 citationsh-index: 25
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Identifies a structural confidentiality limitation in quantum encrypted cloning for quantum information processing.

This work classifies subsets of the encrypted-clone storage register into authorized, completely non-informative, and partially informative sets, showing that non-authorized subsets can retain residual dependence on the input state, revealing a parity-dependent leakage pattern.

Encrypted cloning enables the redundant storage of an unknown qubit while remaining compatible with the no-cloning theorem, since only one clone can later be recovered through key-consuming decryption. Because encryption in this protocol is introduced to enable cloning-compatible redundancy rather than to guarantee confidentiality by design, its secrecy properties must be assessed explicitly. Here we classify the subsets of the encrypted-clone storage register into authorized, completely non-informative, and partially informative sets. We show that intermediate non-authorized subsets may retain only a restricted residual dependence on the input state, and we characterize exactly when this dependence occurs. The resulting leakage pattern is parity-dependent, revealing a structural confidentiality limitation of encrypted cloning.

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