Delphine Martres

• Martres, Delphine; Fuchs, Franz Georg & Pariente, Ruben (2026). Performance of random reservoir unitaries for quantum extreme learning machines using a fault-tolerant construction. Fulltekst i vitenarkiv Vis sammendrag

  Quantum extreme learning machines (QELM) is a framework for quantum machine learning which aims to leverage the high dimensionality of the Hilbert space of a quantum reservoir to construct a rich feature map of classical data inputs. There are promising results mostly obtained on ideal simulators, but it is known that the inherent noise in quantum devices makes the state quickly converge to a specific mixed state independent of the input, making the QELM input-agnostic and thus useless[1]. As a step towards practical application of QELM before fully fault-tolerant hardware is realized, we propose an analysis of the performance of random reservoir unitaries with a controlled T count, which can be easily constructed fault-tolerantly for CSS codes, compared to the widely used chaotic Ising model reservoir in terms of Fourier richness of the outputs, and study their impact on the state convergence phenomenon when implemented fault-tolerantly for a small system.

• Martres, Delphine (2025). Deriving the driving potential for the GKP Floquet Hamiltonian. Fulltekst i vitenarkiv
• Martres, Delphine (2025). Floquet Engineering for QEC Codestate Preparation. Fulltekst i vitenarkiv Vis sammendrag

  Floquet engineering is a well-known technique for the control of quantum systems using periodic driving, and has been used for many years in the field of solid state physics to induce and study exotic states of matter. However, in recent years there is an interest in using Floquet engineering in QEC, specifically for the preparation of codestates, by driving the system into a target Hamiltonian whose ground state is a codestate of a desired code. Since in general designing a driving potential for a specific target effective Hamiltonian is a difficult problem, these applications usually rely on intuition to design an appropriate drive. In this talk, after a short introduction to Floquet theory, I will review some of the recent litterature that has applied it to QEC codestate preparation, as well as papers that introduce ways to systematically design appropriate driving potentials for bosonic systems. I will then sketch the idea of an analogous method for interacting spin systems, building upon the intuition developed in one of the applications exposed earlier. Finally I will conclude with some outlooks on the ideas that we plan to explore in future work.

• Fuchs, Franz Georg; Lenssen, Jerome; Martres, Delphine & Myneni, Hemanadhan (2024). Quantum Error correction - theory and hands-on. Fulltekst i vitenarkiv
• Martres, Delphine & Lind-Olsen, Jesper (2024). Quantum Error Correction and the Surface Code. Fulltekst i vitenarkiv
• Martres, Delphine (2023). Fault-tolerant quantum computation and transversal gates. Fulltekst i vitenarkiv

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