7 papers
Wasserstein-2 gradient flows and the geometry of entropy production in classical and quantum stochastic thermodynamics
Olga Movilla Miangolarra, Ralph Sabbagh, Artemy Kolchinsky
The second law does more than set the direction of thermodynamic evolution: it endows nonequilibrium transformations with an underlying geometry. In this work, we provide a unified…
Isospectral Steering
Ralph Sabbagh, Tryphon T. Georgiou
We study the controllability of the differential Lyapunov equation under isospectral rotation of a linear gradient field. Specifically, control is effected by a symmetric time-vary…
On the Isospectral Nature of Minimum-Shear Covariance Control
Ralph Sabbagh, Asmaa Eldesoukey, Mahmoud Abdelgalil +1
We revisit Brockett's attention in the context of bilinear gradient flow of an ensemble, and explore an alternative formalism that aims to reduce shear by minimizing the conditioni…
Minimizing Control Attention:The Linear Gauss-Markov paradigm
Ralph Sabbagh, Asmaa Eldesoukey, Mahmoud Abdelgalil +1
We revisit the concept of `attention' as a technical term to quantify the effort in calibrating control action based on available data. While Wiener, in his work on Cybernetics, an…
On a time-resolved interpretation of the Husimi function
Ralph Sabbagh, Olga Movilla Miangolarra, Tryphon T. Georgiou
In this Letter, we interpret the Husimi function as the conditional probability density of continuously measuring a stream of constant position and momentum outcomes, indefinitely.…
Regulation of a continuously monitored quantum harmonic oscillator with inefficient detectors
Ralph Sabbagh, Olga Movilla Miangolarra, Tryphon T. Georgiou
We study the control problem of regulating the purity of a quantum harmonic oscillator in a Gaussian state via weak measurements. Specifically, we assume time-invariant Hamiltonian…