## Lecturer in Computer Science

HDR Computer Science

PhD Quantum Theoretical Physics

MSc Theoretical Physics of Complex Systems

MSc Theoretical Economics

I am Lecturer in the Informatics and Interactions department of Aix Marseille University and a researcher in the CaNa team of the LIS laboratory. I got my HDR in Computer Science at AMU and earlier on I did my Ph.D in Theoretical Quantum Physics at the Université Pierre et Marie Curie (Sorbonne).

My research activities take place in discrete mathematics and theoretical computer science and deals with quantum cellular automata, simulations, models and algorithms.

I am member of the Scientific Council (CSI) of the INS2I.

Get in touch!

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## Recent selected publications

### February 22nd, 2022 New on ArXiv

#### Geodesic Quantum Walk

Geodesic Quantum Walks represent a new and very general class of discrete time discrete space systems which is capable to flatten any curved triangulation onto a flat circuit with inhomogeneous gates. Relevant for both modeling and simulating quantum transport on curved discret structures as fullerene molecules, this could introduce new quantum curved space optimisation methods.

### February 9th, 2022 Scientific Report 12, Article number: 2198

#### A discrete relativistic spacetime formalism for 1 + 1-QED with continuum limits

We show that, in the continuous-time discrete-space limit, the introduced QCA converges to the Kogut-Susskind staggered version of 1 + 1 QED. We also show that, in the continuous spacetime limit and in the free one particle sector, it converges to the Dirac equation—a strong indication that the model remains accurate in the relativistic regime.

[arXiv][Journal]

### February 2nd, 2022 New on ArXiv

A nonlinear charged quantum relativistic fluids is simulated via a new hybrid (quantum-classical) algorithm on NISQ devices. This work demonstrates that nonlinear fluid dynamics can be simulated on NISQs, and opens the door to simulating other, quantum and non-quantum fluids, including plasmas, with more general quantum walks and quantum automata.

[arXiv][Journal]

### January 22nd, 2022 Natural Computing 1-13 Springer

#### Gauge-invariance in cellular automata

Gauge-invariance is a fundamental concept in Physics known to provide mathematical justification for the fundamental forces. In this paper, we provide discrete counterparts to the main gauge theoretical concepts directly in terms of cellular automata.

### January 30th, 2022 New on ArXiv

#### Spatial search with multiple marked vertices is optimal for almost all queries and its quantum advantage is not always guaranteed

We contribute to fulfil the long-lasting gap in the understanding of the spatial search with multiple marked vertices. Here (i) we provide strong numerical evidence that spatial configurations are almost all optimal; and (ii) we analytically prove that the quantum advantage with respect to the classical counterpart is not always granted.

[arXiv][Journal]

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## Research projects

2022–2028 PEPR on Quantum Technologies EPiQ /ANR National grant/PI and Local leader

Member of the consortium of the large scale national initiative on quantum technology. I am the local leader of the consortium. The ~300k€ (HT) grant will fund a two years postdoc on formal methods and a three years PhD on quantum distributed algorithms.

2019–2022/2023–2026 Quantum Information Structure of Spacetime JTF Large grant, 2M € - PI

I contributed to initiate, and compose this 14 site international consortium made of top researchers, worldwide. I was PI for the LIS partner in the first phase (2019–2022) and I am affiliated in the second phase (2023–2026).

The following is a membership:

2019-2023 Quantum Machine Learning ANR JCJC at LIS, 214k €

Closed :

2021 Fault Invariant Distributed Quantum Algorithm /QuAlgo

Volet exploratoire INS2I 20k € - PI

2019-2021 Discrete Time Quantum Simulator Pépinière d’excellence AMIDEX, 25k € - PI

2018-2021 Quantum Walk and geometry PICS CNRS France-Espagne, 12k € - PI

2018 Lattice Quantum Simulation Theory / LaQuSim, PI, Infiniti CNRS

2017 Quantum networks and Growing /QuNet, PI, JCJC INS2I

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## Teaching

### @all my students : rendez-vous sur AMETICE pour vos cours

Attention : 2021-2022 Delegation CNRS 100%. I will not be teaching except for IQC (Introduction to quantum computing), IQC (Introduction to quantum cryptography), QML (quantum machine learning).

During my PhD, I had the opportunity to teach at the Sorbonne’s physics department 64h per year (statistical physics, elec- tromagnetism, classical mechanics). Since my recruitment as associate professor (MCF) at the Department of Informatics and Interactions at Aix-Marseille University, I have taught at all levels (∼220h/y). Below is a summary list:

Courses/Master and PhD level

2021–today Quantum Machine Learning ED184, AMU, taught in english

2021–today Quantum Cryptography M2 FSI, AMU

2020–today Computer Security Watch M2 FSI, AMU

2016–today Models of Natural Computing M2 IMD, AMU

2018–2019 Security, Internet, Networks M1 FSI, AMU

2016– 2020 Complexity Theory M1 Informatique, AMU

2018–today Quantum Computation M1 Informatique, AMU

Courses/Undergraduate level

2018–today Probability for computer scientists L2, AMU

2016–2021 Introduction to informatics L1, AMU

Research schools/Master & PhD level

-2022 Lecture on "Quantum Boltzmann Machines" at the von Karman Institut (NATO research institute, Belgium) during a research schools on quantum computing in fluid dynamics.

-2022 Series of lectures "Quantum natural computing: from simulation to algorithms", at Univ. Buenos Aires, for the ECI22

### May 9th, 2022 New on ArXiv

#### A relativistic discrete spacetime formulation of 3+1 QED

This work provides a relativistic, digital quantum simulation scheme for 3+1 quantum electrodynamics (QED), based on a discrete spacetime formulation of theory. It takes the form of a quantum circuit, infinitely repeating across space and time. Strict causality is ensured as circuit wires coincide with the lightlike worldlines of QED; simulation time under decoherence is optimized.

[arXiv][Journal]