62 citations · 85 across the 3 of their papers we have counts for
3 papers
quant-ph2009★ 12 cited
Quantum scattering theory on graphs with tails
Martin Varbanov, Todd A. Brun
We consider quantum walks on a finite graphs to which infinite tails are attached. We explore how the propagating and bound states depend on the structure of the finite graph. The…
quant-ph2008★ 62 cited
Hitting time for the continuous quantum walk
Martin Varbanov, Hari Krovi, Todd A. Brun
We define the hitting (or absorbing) time for the case of continuous quantum walks by measuring the walk at random times, according to a Poisson process with measurement rate .…
quant-ph2007★ 11 cited
Decomposing generalized measurements into continuous stochastic processes
Martin Varbanov, Todd A. Brun
One of the broadest concepts of measurement in quantum theory is the generalized measurement. Another paradigm of measurement--arising naturally in quantum optics, among other fiel…