activity
20002019
most citedAccurate numerical solutions of the time-dependent Schrödinger equation

107 citations · 212 across the 10 of their papers we have counts for

collaborators

10 papers

quant-ph2019★ 25 cited

Decay of a quasi-stable quantum system and quantum backflow

Wytse van Dijk, F. Masafumi Toyama

The decay of quasi-stable quantum system involves primarily an outgoing probability current density. However, during the transition from exponential to inverse-power-law decay ther…

quant-ph2017

Additive decomposition of iterative quantum search operations in the Grover-type algorithm

F. M. Toyama, W. van Dijk

In the Grover-type quantum search process a search operator is iteratively applied, say, k times, on the initial database state. We present an additive decomposition scheme such th…

physics.comp-ph2014★ 13 cited

Numerical solutions of the Schrodinger equation with source terms or time-dependent potentials

W. van Dijk, F. M. Toyama

We develop an approach to solving numerically the time-dependent Schrodinger equation when it includes source terms and time-dependent potentials. The approach is based on the gene…

quant-ph2008★ 26 cited

Multi-phase matching in the Grover algorithm

F. M. Toyama, W. van Dijk, Y. Nogami +2

Phase matching has been studied for the Grover algorithm as a way of enhancing the efficiency of the quantum search. Recently Li and Li found that a particular form of phase matchi…

physics.comp-ph2007★ 107 cited

Accurate numerical solutions of the time-dependent Schrödinger equation

W. van Dijk, F. M. Toyama

We present a generalization of the often-used Crank-Nicolson (CN) method of obtaining numerical solutions of the time-dependent Schrödinger equation. The generalization yields nume…

cs.CV2006★ 3 cited

Conditional Expressions for Blind Deconvolution: Derivative form

S. Aogaki, I. Moritani, T. Sugai +2

We developed novel conditional expressions (CEs) for Lane and Bates' blind deconvolution. The CEs are given in term of the derivatives of the zero-values of the z-transform of give…