The paper proposes (SWAP)^alpha quantum homogenization as a NISQ-implementable state stabilization protocol and claims it is approximately correctable under Beny-Oreshkov conditions, but the correctability argument is not actually derived.
Convergent dynamics of optimal nonlinear damping control
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abstract
Following Demidovich's concept and definition of convergent systems, we analyze the optimal nonlinear damping control, recently proposed [1] for the second-order systems. Targeting the problem of output regulation, correspondingly tracking of $\mathcal{C}^1$-trajectories, it is shown that all solutions of the control system are globally uniformly asymptotically stable. The existence of the unique limit solution in the origin of the control error and its time derivative coordinates are shown in the sense of Demidovich's convergent dynamics. Explanative numerical examples are also provided along with analysis.
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Quantum Homogenization as a Quantum Steady State Protocol on NISQ Hardware
The paper proposes (SWAP)^alpha quantum homogenization as a NISQ-implementable state stabilization protocol and claims it is approximately correctable under Beny-Oreshkov conditions, but the correctability argument is not actually derived.