AI 中文总结
本文研究相位协变操作的桌面可逆性，证明有限维系统中满足条件的相位协变操作可通过特定膨胀实现桌面可逆性，而高斯系统中存在阻碍，揭示两类系统的定性差异。
AI 中文摘要
不可逆性与时间平移对称性都是开放量子动力学中的基本要素，研究二者间的相互作用具有重要意义。本文研究相位协变量子操作的桌面可逆性（TTR），并对有限维系统和高斯系统得出截然不同的结论：对于有限维系统，证明任何容许Petz恢复映射的相位协变操作都可通过同时具有时间平移对称性和桌面时间可逆性的膨胀来实现；与之相对，对于相位协变高斯操作，展示了具体的阻碍：单模高斯放大信道的任何高斯膨胀都不具备桌面时间可逆性。作为副产品，发现几乎所有完全正且迹保持（CPTP）映射都容许实现桌面可逆性的膨胀。这些结果阐明了在相位协变对称性约束下桌面可逆性是否及如何实现，并揭示了有限维系统与高斯系统间的定性差异。
英文摘要
Irreversibility and time-translation symmetry are both fundamental in open quantum dynamics, and it is of great importance to study the interplay between them. In this paper, we study tabletop reversibility (TTR) for phase-covariant quantum operations and obtain sharply different conclusions for finite-dimensional and Gaussian systems. For finite-dimensional systems, we prove that any phase-covariant operation that admits a Petz recovery map can be implemented by a dilation which is both time-translational symmetric and tabletop time reversible. In contrast, for phase-covariant Gaussian operations we exhibit a concrete obstruction: any Gaussian dilation of a single-mode Gaussian amplification channel is not tabletop time reversible. As a byproduct, we find that almost every completely positive and trace preserving (CPTP) map admits a dilation that realizes TTR. These results clarify whether and how TTR can be realized under phase-covariant symmetry constraints and reveal a qualitative difference between finite-dimensional and Gaussian systems.
Comments16 pages, 3 figures
Journal refPhys. Rev. A 114, 022419 (2026)
