没有绝对的量子互补性等级
No Absolute Hierarchy of Quantum Complementarity
AI总结：
该研究展示了在多副本情况下，量子互补性等级并非绝对，且可观测量集的顺序依赖于量子探针的全局配置。
摘要：
玻尔的互补性原则，禁止在单一实验安排中同时访问某些物理属性，被认为是量子力学的定义特征。它通常被视为在不相容可观测量之间引入内在等级：某些量子属性集本质上比其他属性集更不相容，这由允许它们共同测量的最大锐度量化。我们证明在多副本情况下，这种等级不再绝对。分析qubit自旋可观测量，我们证明了一个无比较定理，证明没有全局的不相容可观测量集的顺序在所有有限副本配置中得以保持。特别是，两个可观测量集的互补性顺序取决于可用资源是安排成相同副本还是平行-反平行对。因此，量子不相容性的程度不是仅由可观测量本身决定的属性，而是取决于所准备的量子探针的全局配置。我们的结果揭示了互补性的配置依赖结构，揭示了纠缠在塑造测量限制结构中的微妙作用，并呼吁在有限资源下重新评估量子信息协议。
英文摘要：
Bohr's principle of complementarity, prohibiting simultaneous access to certain physical properties within a single experimental arrangement, is considered to be a defining feature of quantum mechanics. It is commonly viewed as inducing an intrinsic hierarchy among incompatible observables: some sets of quantum properties are fundamentally more incompatible than others, as quantified by the maximal sharpness permitting their joint measurement. We show that this hierarchy ceases to be absolute in the multi-copy regime. Analyzing qubit spin observables, we prove a No-Comparison Theorem establishing that no global ordering of incompatible observable sets is preserved across all finite-copy configurations. In particular, two sets of observables can exhibit reversed complementarity ordering depending solely on whether the available resources are arranged as identical copies or as parallel-antiparallel pairs. Thus, the degree of quantum incompatibility is not an intrinsic property of observables alone but depends on the global configuration of the prepared quantum probes. Our results uncover a configuration-dependent structure of complementarity, reveal a subtle role of entanglement in shaping the structure of measurement limitations, and call for a reassessment of quantum information protocols under finite resources.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
