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A stronger no-cloning theorem

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arxiv quant-ph/0204153 v2 pith:V2T7EXMG submitted 2002-04-26 quant-ph

classification quant-ph
keywords informationquantumableadditionalcopymustnon-orthogonalpure
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It is well known that (non-orthogonal) pure states cannot be cloned so one may ask: how much or what kind of additional (quantum) information is needed to supplement one copy of a quantum state in order to be able to produce two copies of that state by a physical operation? For classical information, no supplementary information is required. However for pure quantum (non-orthogonal) states, we show that the supplementary information must always be as large as it can possibly be i.e. the clone must be able to be generated from the additional information alone, independently of the first (given) copy.

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    quant-ph 2025-07 conditional novelty 2.0 of 10

    A comprehensive review of automated tools and methods for designing quantum error-corrected circuits, with case studies on T-gate optimization, surface-code layout, ML decoders, and verification.

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