Geometric quantum speed limits: a case for Wigner phase space
Geometric quantum speed limits: a case for Wigner phase space
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DOI：
10.1088/1367-2630/aa83dc
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发表时间：
2017-10-20
影响因子：
3.3
通讯作者：
Deffner, Sebastian
中科院分区：
文献类型：
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作者：
Deffner, Sebastian
量子速度极限是量子演化速度的基本上限。然而，这个基本极限的实际数学表达式取决于量子态可分辨性度量的选择。我们证明量子速度限制是由量子动力学产生器的schattenp -范数定性控制的。由于计算schattenp -norm可能涉及数学，因此我们在Wigner相空间中开发了一种替代方法。我们发现Wigner空间中的量子速度极限与密度算符空间中的表达式完全等价，但新的边界明显更容易计算。我们的结果说明了参数谐振子和量子布朗运动。
The quantum speed limit is a fundamental upper bound on the speed of quantum evolution. However, the actual mathematical expression of this fundamental limit depends on the choice of a measure of distinguishability of quantum states. We show that quantum speed limits are qualitatively governed by the Schatten-p-norm of the generator of quantum dynamics. Since computing Schatten-p-norms can be mathematically involved, we then develop an alternative approach in Wigner phase space. We find that the quantum speed limit in Wigner space is fully equivalent to expressions in density operator space, but that the new bound is significantly easier to compute. Our results are illustrated for the parametric harmonic oscillator and for quantum Brownian motion.