83 citations · 268 across the 5 of their papers we have counts for
5 papers
Orbits of quantum states and geometry of Bloch vectors for -level systems
S. G. Schirmer, T. Zhang, J. V. Leahy
Physical constraints such as positivity endow the set of quantum states with a rich geometry if the system dimension is greater than two. To shed some light on the complicated stru…
Criteria for reachability of quantum states
S. G. Schirmer, A. I. Solomon, J. V. Leahy
We address the question of which quantum states can be inter-converted under the action of a time-dependent Hamiltonian. In particular, we consider the problem applied to mixed sta…
Degrees of controllability for quantum systems and applications to atomic systems
S. G. Schirmer, J. V. Leahy, A. I. Solomon
Precise definitions for different degrees of controllability for quantum systems are given, and necessary and sufficient conditions are discussed. The results are applied to determ…
Limits of control for quantum systems: kinematical bounds on the optimization of observables and the question of dynamical realizability
S. G. Schirmer, J. V. Leahy
In this paper we investigate the limits of control for mixed-state quantum systems. The constraint of unitary evolution for non-dissipative quantum systems imposes kinematical boun…
Efficient Algorithm for Optimal Control of Mixed-State Quantum Systems
S. G. Schirmer, M. D. Girardeau, J. V. Leahy
In [1] Zhu and Rabitz presented a rapidly convergent iterative algorithm for optimal control of the expectation value of a positive definite observable in a pure-state quantum syst…