5 papers
Optimal Control of a Markovian Qubit with Unitary Control
Emanuel Malvetti
We study a single Markovian qubit governed by a Lindblad master equation and subject to fast unitary control. Using reduced control systems and optimal control theory we determine…
Provably Time-Optimal Cooling of Markovian Quantum Systems
Emanuel Malvetti
We address the problem of cooling a Markovian quantum system to a pure state in the shortest amount of time possible. Here the system drift takes the form of a Lindblad master equa…
Entanglement in Bipartite Quantum Systems with Fast Local Unitary Control
Emanuel Malvetti
The well-known Schmidt decomposition, or equivalently, the complex singular value decomposition, states that a pure quantum state of a bipartite system can always be brought into a…
Computing Common Eigenvectors and Simultaneous Triangulation
Emanuel Malvetti
We propose an efficient algorithm for computing a common eigenvector of a finite set of square matrices. As an immediate consequence we obtain an algorithm for determining whether…
Reduced Control Systems on Symmetric Lie Algebras
Emanuel Malvetti, Gunther Dirr, Frederik vom Ende +1
For a symmetric Lie algebra we consider a class of bilinear or more general control-affine systems on defined by a drift ve…