论文标题

任意相位的量子速度限制

Quantum speed limits in arbitrary phase spaces

论文作者

Meng, Weiquan, Xu, Zhenyu

论文摘要

量子速度限制(QSL)为在任何物理过程中量子状态的进化速度提供了上限。基于Stratonovich-Weyl的对应关系,我们得出了一个在任意相位空间中结合的通用QSL,该QSL适用于连续可变系统和有限维离散量子系统。该QSL结合允许在特定相位空间中确定比Wigner相位空间或同一度量下希尔伯特空间更紧密的速度限制界限,如几个典型示例所示,例如,单模自由场和相位空间中的$ n $ level量子系统。该QSL结合还提供了一种可以实验可实现的方法,可以检查与量子信息和量子光学元件中应用相关的相位速度限制。

Quantum speed limits (QSLs) provide an upper bound for the speed of evolution of quantum states in any physical process. Based on the Stratonovich-Weyl correspondence, we derive a universal QSL bound in arbitrary phase spaces that is applicable for both continuous variable systems and finite-dimensional discrete quantum systems. This QSL bound allows the determination of speed limit bounds in specific phase spaces that are tighter than those in Wigner phase space or Hilbert space under the same metric, as illustrated by several typical examples, e.g., a single-mode free field and $N$-level quantum systems in phase spaces. This QSL bound also provides an experimentally realizable way to examine the speed limit in phase spaces relevant to applications in quantum information and quantum optics.

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