Quantum encrypted cloning shows that an unknown quantum state can be distributed into multiple encrypted copies without contradicting the no-cloning theorem: each copy is unusable on its own, but can be redeemed together with a suitable quantum key. Recent work has related canonical encrypted-cloning protocols to particular forms of quantum secret sharing. Here we take the converse perspective: instead of mapping a given encrypted-cloning protocol into QSS, we use QSS access structures as a design library from which encrypted-cloning schemes can be extracted. The criterion is access-structural. A QSS scheme supports a quantum encrypted-cloning structure whenever it contains a family of qualified sets with a non-qualified common intersection. The common subsystem is interpreted as the key, while the non-common parts are interpreted as encrypted clones relative to that key. Thus quantum encrypted cloning does not require a new notion of recoverability beyond QSS; what changes is the operational reading of QSS constituents as a mechanism for delayed and alternative redemption opportunities. This viewpoint separates redemption from perfect secrecy. Perfect QSS yields encrypted-cloning schemes with forbidden non-qualified subsystems, whereas ramp QSS naturally allows intermediate, partially informative non-redeeming subsystems. The resulting framework broadens quantum encrypted cloning from a specific protocol to a general access-structure primitive. We illustrate the extraction principle with threshold-like, ramp, hierarchical, and compartmented architectures, showing how encrypted clones may be symmetric or asymmetric, individual or composite, perfectly hidden or leaky. Equivalently, these constructions can be viewed as overlapping erasure-recovery regions of an isometric quantum code. This establishes secret sharing as a systematic design language for encrypted quantum redundancy.

翻译：量子加密克隆表明，未知量子态可以分发为多个加密副本而不违背不可克隆定理：每个副本单独无法使用，但可与合适的量子密钥结合后还原。近期研究将标准加密克隆协议与特定形式的量子秘密共享联系起来。本文采取逆向视角：并非将给定加密克隆协议映射为量子秘密共享，而是利用量子秘密共享的访问结构作为设计库来提取加密克隆方案。其判据基于访问结构特性。若量子秘密共享方案包含一组具有非授权公共交集的授权集族，则该方案支持量子加密克隆结构。公共子系统被解读为密钥，非公共部分则被视为相对于该密钥的加密克隆。因此，量子加密克隆无需在量子秘密共享之外定义新的可恢复性概念；变化在于将量子秘密共享的构成元素操作性地解读为延迟及替代性还原机会的机制。这一观点将还原机制与完美保密性分离。完美量子秘密共享产生具有禁止性非授权子系统的加密克隆方案，而斜坡量子秘密共享自然允许存在中间、部分信息性的非还原子系统。该框架将量子加密克隆从特定协议拓展为通用访问结构原语。我们通过门限式、斜坡式、层级式及分区式架构阐释提取原理，展示加密克隆可对称或非对称、单一或复合、完美隐藏或部分泄露。这些构造亦可等价视为等距量子码的重叠擦除恢复区域。由此确立秘密共享作为加密量子冗余的系统化设计语言。