Lindbladians for controlled stochastic Hamiltonians
J.E. Avron, O. Kenneth, A. Retzker, M. Shalyt
TL;DR
This paper develops Lindbladian models for controlled stochastic Hamiltonians to analyze noise spectra, optimize control strategies, and validate numerical algorithms, with detailed examples illustrating the approach.
Contribution
It introduces a method to construct Lindbladians for controlled stochastic Hamiltonians, enabling noise analysis and control optimization in quantum systems.
Findings
Lindbladians can be derived for controlled stochastic Hamiltonians.
The approach allows extraction of noise power spectra from dephasing measurements.
Examples demonstrate the effectiveness of the method in practical scenarios.
Abstract
We construct Lindbladians associated with controlled stochastic Hamiltonians in weak coupling. This allows to determine the power spectrum of the noise from measurements of dephasing rates; to optimize the control and to test numerical algorithms that solve controlled stochastic Schrodinger equations. A few examples are worked out in detail.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.