22 citations · 67 across the 18 of their papers we have counts for
18 papers
Dynamical Simulations of Schrödinger's Equation via Rank-Adaptive Tensor Decompositions
N. Anders Petersson, Chase Hodges-Heilmann, Stefanie Günther
We study low-rank tensor methods for the numerical solution of Schrödinger's equation with time-independent and explicitly time-dependent Hamiltonians, motivated by large-scale sim…
A time-parallel multiple-shooting method for large-scale quantum optimal control
N. Anders Petersson, Stefanie Günther, Seung Whan Chung
Quantum optimal control plays a crucial role in quantum computing by providing the interface between compiler and hardware. Solving the optimal control problem is particularly chal…
Non-degenerate Marginal-Likelihood Calibration with Application to Quantum Characterization
Mohammad Motamed, N. Anders Petersson
We propose a marginal likelihood strategy within the Kennedy-O'Hagan (KOH) Bayesian framework, where a Gaussian process (GP) models the discrepancy between a physical system and it…
A practical approach to determine minimal quantum gate durations using amplitude-bounded quantum controls
Stefanie Günther, N. Anders Petersson
We present an iterative scheme to estimate the minimal duration in which a quantum gate can be realized while satisfying hardware constraints on the control pulse amplitudes. The s…
Deterministic and Bayesian Characterization of Quantum Computing Devices
Zhichao Peng, Daniel Appelö, N. Anders Petersson +3
Motivated by the noisy and fluctuating behavior of current quantum computing devices, this paper presents a data-driven characterization approach for estimating transition frequenc…
Mathematical approaches for characterization, control, calibration and validation of a quantum computing device
Zhichao Peng, Daniel Appelo, N. Anders Petersson +2
Quantum computing has received significant amounts of interest from many different research communities over the last few years. Although there are many introductory texts that foc…
Noise-specific beats in the higher-level Ramsey curves of a transmon qubit
L. A. Martinez, Z. Peng, D. Appelö +4
In the higher levels of superconducting transmon devices, and more generally charge sensitive devices, measurements made in the presence of low-frequency time-correlated $1…
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…
Optimal Control of Closed Quantum Systems via B-Splines with Carrier Waves
N. Anders Petersson, Fortino Garcia
We consider the optimal control problem of determining electromagnetic pulses for implementing logical gates in a closed quantum system, where the Hamiltonian models the dynamics o…
Binary Optimal Control Of Single-Flux-Quantum Pulse Sequences
Ryan H. Vogt, N. Anders Petersson
We introduce a binary, relaxed gradient, trust-region method for optimizing pulse sequences for single flux quanta (SFQ) control of a quantum computer. The pulse sequences are opti…
Quantum Optimal Control for Pure-State Preparation Using One Initial State
Stefanie Günther, N. Anders Petersson, Jonathan L. DuBois
This paper presents a framework for solving the pure-state preparation problem using numerical optimal control. As an example, we consider the case where a number of qubits are dis…
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…
Elastic wave propagation in curvilinear coordinates with mesh refinement interfaces by a fourth order finite difference method
Lu Zhang, Siyang Wang, N. Anders Petersson
We develop a fourth order accurate finite difference method for the three dimensional elastic wave equation in isotropic media with the piecewise smooth material property. In our m…
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…
Boundary estimates for the elastic wave equation in almost incompressible materials
Heinz-Otto Kreiss, N. Anders Petersson
We study the half-plane problem for the elastic wave equation subject to a free surface boundary condition, with particular emphasis on almost incompressible materials. A normal mo…
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…