In this paper, we study the design of pulse sequences for nuclear magnetic resonance
spectroscopy as a problem of time optimal control of the unitary propagator. Radio …

For paving the way to novel applications in quantum simulation, computation, and
technology, increasingly large quantum systems have to be steered with high precision. It is …

Radio-frequency pulses are used in nuclear-magnetic-resonance spectroscopy to produce
unitary transfer of states. Pulse sequences that accomplish a desired transfer should be as …

In this paper, we give an explicit parameterization of any arbitrary unitary transformation on n
qubits, in terms of one qubit and two qubit operations. Building on the previous work …

In this paper, we demonstrate how optimal control methods can be used to speed up the
implementation of modules of quantum algorithms or quantum simulations in networks of …

Many challenges in quantum information and quantum control root in constrained
optimization problems on finite-dimensional quantum systems. The constraints often arise …

Optimal control methods for implementing quantum modules with least amount of relaxative
loss are devised to give best approximations to unitary gates under relaxation. The potential …

General dynamic properties such as controllability and simulability of spin systems,
fermionic and bosonic systems are investigated in terms of symmetry. Symmetries may be …

The aim of this book is to provide an introduction to some representative nonrelativistic
quantum control problems and to their theoretical analysis and solution by modern …

One of the main theoretical challenges in quantum computing is the design of explicit
schemes that enable one to effectively factorize a given final unitary operator into a product …