44 citations · 102 across the 8 of their papers we have counts for
8 papers
On the behavior of quantum walks confined to a cycle coupled with a half line
Forrest Ingram-Johnson, Chaobin Liu, Nelson Petulante
When confined to a topological environment consisting of a cycle coupled with a half-line, quantum walks exhibit long-term statistical tendencies which differ dramatically from the…
Weak limits for quantum walks on the half-line
Chaobin Liu, Nelson Petulante
For a discrete two-state quantum walk (QW) on the half-line with a general condition at the boundary, we formulate and prove a weak limit theorem describing the terminal behavior o…
Asymptotic evolution of quantum walks on the -cycle subject to decoherence on both the coin and position degrees of freedom
Chaobin Liu, Nelson Petulante
Consider a discrete-time quantum walk on the -cycle subject to decoherence both on the coin and the position degrees of freedom. By examining the evolution of the density matrix…
On limiting distributions of quantum Markov chains
Chaobin Liu, Nelson Petulante
In a quantum Markov chain, the temporal succession of states is modeled by the repeated action of a "bistochastic quantum operation" on the density matrix of a quantum system. Base…
On the von Neumann entropy of certain quantum walks subject to decoherence
Chaobin Liu, Nelson Petulante
Consider a discrete-time quantum walk on the -cycle governed by the following condition: at every time step of the walk, the option persists, with probability , of exercising…
A Computational Approach to Factoring Large Integers
Nelson Petulante
To factor an integer N, given that it is equal to the product of two primes, it suffices to find an integer d satisfying a certain simple numerical test. In this approach, the fact…