论文标题

基于痕量距离

Margolus-Levitin speed limit across quantum to classical regimes based on trace distance

论文作者

Wu, Shao-xiong, Yu, Chang-shui

论文摘要

B. Shanahan等人报告了基于相位空间中Wigner函数的Mandelstam-Tamm速度限制的经典版本。 [物理。莱特牧师。 120,070401(2018)]。在本文中,基于痕量距离,在相空间中给出了整个量子到古典过渡的玛格鲁斯 - 亮素速度极限。 Margolus-Levitin速度极限是由量子和经典域的时间依赖性演化发生器的Schatten L1规范设置的。例如,考虑时间依赖的谐波振荡器来说明结果。

The classical version of Mandelstam-Tamm speed limit based on the Wigner function in phase space is reported by B. Shanahan et al. [Phys. Rev. Lett. 120, 070401 (2018)]. In this paper, the Margolus-Levitin speed limit across the quantum-to-classical transition is given in phase space based on the trace distance. The Margolus-Levitin speed limit is set by the Schatten L1 norm of the generator of time dependent evolution for both the quantum and classical domains. As an example, the time-dependent harmonic oscillator is considered to illustrate the result.

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