论文标题
连续时间量子步行的变色和经典作用
Decoherence and classicalization of continuous-time quantum walks on graphs
论文作者
论文摘要
我们解决了图形上连续时间量子步行（CTQW）的分流和经典化。特别是，我们研究了三种不同的破坏模型，并采用量子古典（QC）动态距离作为功绩的数字来评估是否以及在何种程度上将腐蚀性经典化，即将其转化为模拟经典过程。我们表明，固有的反校准产生的动力学，即在能量基础上进行脱落，并不能完全使步行者典型化并部分保留量子特征。另一方面，如Haken-strobl Master方程或量子随机步行（QSW）模型所描述的那样，在位置基础上进行除去，渐近地破坏了步行者的量子性，使其等同于经典的随机步行。我们还研究了经典过程的速度，并观察到QC距离对其渐近值的固定性逆转和QSW模型的更快收敛性，而在Haken-Strobl情况下，较大的脱谐速率值诱导Walker的定位。
We address decoherence and classicalization of continuous-time quantum walks (CTQWs) on graphs. In particular, we investigate three different models of decoherence, and employ the quantum-classical (QC) dynamical distance as a figure of merit to assess whether, and to which extent, decoherence classicalizes the CTQW, i.e. turns it into the analogue classical process. We show that the dynamics arising from intrinsic decoherence, i.e. dephasing in the energy basis, do not fully classicalize the walker and partially preserves quantum features. On the other hand, dephasing in the position basis, as described by the Haken-Strobl master equation or by the quantum stochastic walk (QSW) model, asymptotically destroys the quantumness of the walker, making it equivalent to a classical random walk. We also investigate the speed of the classicalization process, and observe a faster convergence of the QC-distance to its asymptotic value for intrinsic decoherence and the QSW models, whereas in the Haken-Strobl scenario, larger values of the decoherence rate induce localization of the walker.
