2 citations · 3 across the 3 of their papers we have counts for
6 papers
Quandary: An open-source C++ package for high-performance optimal control of open quantum systems
Stefanie Günther, N. Anders Petersson, Jonathan L. Dubois
Quantum optimal control can be used to shape the control pulses for realizing unitary and non-unitary transformations of quantum states. These control pulses provide the fundamenta…
Quantum Physics without the Physics
N. Anders Petersson, Fortino Garcia, Daniel E. A. Appelo +3
This report explains the basic theory and common terminology of quantum physics without assuming any knowledge of physics. It was written by a group of applied mathematicians while…
Discrete Adjoints for Accurate Numerical Optimization with Application to Quantum Control
N. Anders Petersson, Fortino M. Garcia, Austin E. Copeland +2
This paper considers the optimal control problem for realizing logical gates in a closed quantum system. The quantum state is governed by Schrodinger's equation, which we formulate…
Energy conservative SBP discretizations of the acoustic wave equation in covariant form on staggered curvilinear grids
Ossian O'Reilly, N. Anders Petersson
We develop a numerical method for solving the acoustic wave equation in covariant form on staggered curvilinear grids in an energy conserving manner. The use of a covariant basis d…
Fourth order finite difference methods for the wave equation with mesh refinement interfaces
Siyang Wang, N. Anders Petersson
We analyze two types of summation-by-parts finite difference operators for approximating the second derivative with variable coefficient. The first type uses ghost points, while th…
Initial-boundary value problems for second order systems of partial differential equations
Heinz-Otto Kreiss, Omar E. Ortiz, N. Anders Petersson
We develop a well-posedness theory for second order systems in bounded domains where boundary phenomena like glancing and surface waves play an important role. Attempts have previo…