Finite-Dimensional Stinespring Curves Can Approximate Any Dynamics
arXiv:2306.03667 · doi:10.1142/S1230161224500045
Abstract
We generalize a recent result stating that all analytic quantum dynamics can be represented exactly as the reduction of unitary dynamics generated by a time-dependent Hamiltonian. More precisely, we prove that the partial trace over analytic paths of unitaries can approximate any Lipschitz-continuous quantum dynamics arbitrarily well. Equivalently, all such dynamics can be approximated by analytic Kraus operators. We conclude by discussing potential improvements and generalizations of these results, their limitations, and the general challenges one has to overcome when trying to relate dynamics to quantities on the system-environment level.
14+6 pages, accepted to Open Systems & Information Dynamics
References in corpus (6)
- Non-perturbative treatment of non-Markovian dynamics of open quantum systems
- Genuine quantum trajectories for non-Markovian processes
- Finding the Kraus decomposition from a master equation and vice versa
- Exploring the Limits of Controlled Markovian Quantum Dynamics with Thermal Resources
- Quantum-embeddable stochastic matrices
- Quantum-Dynamical Semigroups and the Church of the Larger Hilbert Space