1.3k citations · 5.5k across the 83 of their papers we have counts for
86 papers
Fractional Integrable and Related Discrete Nonlinear Schrödinger Equations
Mark J. Ablowitz, Joel B. Been, Lincoln D. Carr
Integrable fractional equations such as the fractional Korteweg-deVries and nonlinear Schrödinger equations are key to the intersection of nonlinear dynamics and fractional calculu…
Fractional Integrable Nonlinear Soliton Equations
Mark J. Ablowitz, Joel B. Been, Lincoln D. Carr
Nonlinear integrable equations serve as a foundation for nonlinear dynamics, and fractional equations are well known in anomalous diffusion. We connect these two fields by presenti…
Integrable Fractional Modified Korteweg-de Vries, Sine-Gordon, and Sinh-Gordon Equations
Mark J. Ablowitz, Joel B. Been, Lincoln D. Carr
The inverse scattering transform allows explicit construction of solutions to many physically significant nonlinear wave equations. Notably, this method can be extended to fraction…
Small-world complex network generation on a digital quantum processor
Eric B. Jones, Logan E. Hillberry, Matthew T. Jones +9
Quantum cellular automata (QCA) evolve qubits in a quantum circuit depending only on the states of their neighborhoods and model how rich physical complexity can emerge from a simp…
Building a Quantum Engineering Undergraduate Program
Abraham Asfaw, Alexandre Blais, Kenneth R. Brown +34
The rapidly growing quantum information science and engineering (QISE) industry will require both quantum-aware and quantum-proficient engineers at the bachelor's level. We provide…
Emergent complex quantum networks in continuous-variables non-Gaussian states
Mattia Walschaers, Nicolas Treps, Bhuvanesh Sundar +2
We use complex network theory to study a class of continuous-variable quantum states that present both multipartite entanglement and non-Gaussian statistics. We consider the interm…