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Quantum Software Tools Programming

Quantum Riemannian Cubics with Obstacle Avoidance for Quantum Geometric Model Predictive Control

arXiv
Authors: Leonardo Colombo

Year

2026

Paper ID

225

Status

Preprint

Abstract Read

~2 min

Abstract Words

92

Citations

N/A

Abstract

We propose a geometric model predictive control framework for quantum systems subject to smoothness and state constraints. By formulating quantum state evolution intrinsically on the projective Hilbert space, we penalize covariant accelerations to generate smooth trajectories in the form of Riemannian cubics, while incorporating state-dependent constraints through potential functions. A structure-preserving variational discretization enables receding-horizon implementation, and a Lyapunov-type stability result is established for the closed-loop system. The approach is illustrated on the Bloch sphere for a two-level quantum system, providing a viable pathway toward predictive feedback control of constrained quantum dynamics.

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  • This paper contributes to the Quantum Software Tools & Programming research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • We propose a geometric model predictive control framework for quantum systems subject to smoothness and state constraints.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2602.08881 [2] arXiv https://arxiv.org/abs/2602.08881 [3] Publisher https://arxiv.org/abs/2602.08881

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Current Paper #225

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