Physics – Quantum Physics
Scientific paper
2007-04-19
Physics
Quantum Physics
28 pages
Scientific paper
Continuous-time quantum walk (CTQW) on a given graph is investigated by using the techniques of the spectral analysis and inverse Laplace transform of the Stieltjes function (Stieltjes transform of the spectral distribution) associated with the graph. It is shown that, the probability amplitude of observing the CTQW at a given site at time $t$ is related to the inverse Laplace transformation of the Stieltjes function, namely, one can calculate the probability amplitudes only by taking the inverse laplace transform of the function $iG_{\mu}(is)$, where $G_{\mu}(x)$ is the Stieltjes function of the graph. The preference of this procedure is that, there is no any need to know the spectrum of the graph
Jafarizadeh Mohammad Ali
Sufiani R.
No associations
LandOfFree
Investigation of continuous-time quantum walks via spectral analysis and Laplace transform does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Investigation of continuous-time quantum walks via spectral analysis and Laplace transform, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Investigation of continuous-time quantum walks via spectral analysis and Laplace transform will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-573063