量子模拟物
Quantum simulacra
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中文总结 AI 辅助
研究量子模拟物的创建，通过改变度量处理量子系统，使量子测量地位调整且能实现超\(L^2\)度量的量子操作，如解释非纠缠光子违反贝尔不等式现象，还提出结合正算子值测量与后选择子系综的方案应对测量挑战。
中文摘要 AI 辅助
我们在此分析量子模拟物的创建：这些现象源于在除标准\(L^{2}\)之外的度量中处理厄米或非厄米量子系统。改变度量会重新定义系统可观测量的集合以及对其测量的实验安排，使量子语境性和微观实在性依赖于度量。一方面，模拟物包括对量子测量地位的重新调整，测量在量子力学中一直占据核心地位，在适当度量下的测量可模拟不同于哈密顿量规定的微观实在。另一方面，模拟物为实现超出\(L^2\)度量范围的量子操作提供了途径。例如，量子模拟物为近期用非纠缠光子违反贝尔不等式的观测提供了解释：在\(L^2\)度量中可分离的光子，在新的度量框架内分析时会变得纠缠。实现模拟物需对度量重新定义的可观测量进行测量；为应对这一挑战，我们提出了一种将正算子值测量与后选择子系综相结合的方案。
英文摘要
Here we analyze the creation of quantum simulacra: phenomena that emerge from treating a Hermitian or non-Hermitian quantum system in metrics other than the standard $L^{2}$. Changing the metric redefines the set of system observables and thus the experimental arrangement for their measurement, making quantum contextuality and microscopic reality metric-dependent. The simulacra therefore consist, on the one hand, of a resizing of the status of quantum measurement, which has always occupied a central role in quantum mechanics: beyond the connection between quantum and classical dynamics, measurements performed in an appropriate metric can emulate a microscopic reality distinct from that prescribed by the Hamiltonian. On the other hand, simulacra provide a route to implementing quantum operations that lie beyond the reach of the $L^2$ metric. Quantum simulacra offer, as an example, an explanation for the recent observation of the violation of Bell inequalities with unentangled photons [Sci. Adv. \textbf{11}, eadr1794 (2025)]: photons that are separable in $L^2$ metric, become entangled when analyzed within a new metric framework. Simulacrum comes at the cost of implementing measurements of the metric-redefined observables; to address this challenge, we propose a scheme combining positive operator-valued measures with postselected subensembles.
