Article Dans Une Revue Physical Review Research Année : 2025

Unitary transformations using robust optimal control on a cold atom qudit

Eloi Flament
Nicolas Ombredane
Floriane Arrouas
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Dominique Ronco
B Peaudecerf
David Guéry-Odelin

Résumé

In this paper, we design and experimentally implement various robust quantum unitary transformations (gates) acting on d-dimensional vectors (qudits) by tuning a single control parameter using optimal control theory. The quantum state is represented by the momentum components of a Bose-Einstein condensate (BEC) placed in an optical lattice, with the lattice position varying over a fixed duration serving as the control parameter. To evaluate the quality of these transformations, we employ standard quantum process tomography. In addition, we show how controlled unitary transformations can be used to extend state stabilization to global stabilization within a controlled vector subspace. Finally, we apply them to state tomography, showing how the information about the relative phase between distant momentum components can be extracted by inducing an interference process.

Dates et versions

hal-05246548 , version 1 (09-09-2025)

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Citer

Eloi Flament, Nicolas Ombredane, Floriane Arrouas, Dominique Ronco, B Peaudecerf, et al.. Unitary transformations using robust optimal control on a cold atom qudit. Physical Review Research, 2025, 7, pp.033069. ⟨10.1103/fvlj-yph6⟩. ⟨hal-05246548⟩
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