My arXiv, ORCID and HAL pages.

Since October 2018: CNRS chargé de recherche (CR) at Toulouse Mathematics Institute (Probability team) and associate researcher at neighboring Theoretical Physics Laboratory.

- October 2016 – October 2018: Postdoctoral researcher (CIMI postdoctoral fellowship) at Toulouse Mathematics Institute
- March 2015 – September 2016: Postdoctoral researcher at Theoretical Physics Laboratory (Toulouse, France)
- March 2015 – September 2015: Visiting from Toulouse in Pr. M. M. Wolf Mathematical Physics group at TUM in Munich (Germany).
- September 2014 – February 2015: Postdoctoral position in Pr. V. Jaksic group at the department of mathematics and statistics of McGill University in Montréal (Canada).

You may find or publish corrections or comments on PubPeer.

- T. Benoist, C. Pellegrini and A. Szczepanek,
*Dark Subspaces and Invariant Measures of Quantum Trajectories*, (2024) arXiv:2409.18655 (preprint) - T. Benoist, L. Bruneau, V. Jakšić, A. Panati and C.-A. Pillet,
*Entropic Fluctuations in Statistical Mechanics II. Quantum Dynamical Systems*, (2024) arXiv:2409.15485 (preprint) - T. Benoist, L. Greggio and C. Pellegrini,
*Exponentially fast selection of sectors for quantum trajectories beyond non demolition measurements*, (2024) arXiv:2407.18864 (preprint) - T. Benoist, L. Bruneau and C. Pellegrini,
*Quantum trajectory of the one atom maser*, (2024) arXiv:2403.20094 (preprint) - T. Benoist, L. Bruneau, V. Jaksic, A. Panati, C.-A. Pillet,
*On the thermodynamic limit of two-times measurement entropy production*, (2024) arXiv:2402.09380 (preprint) - T. Benoist, A. Hautecœur and C. Pellegrini,
*Quantum Trajectories. Spectral Gap, Quasi-compactness & Limit Theorems*, (2024) arXiv:2402.03879 (preprint) - T. Benoist, L. Bruneau, V. Jaksic, A. Panati, C.-A. Pillet,
*A note on two-times measurement entropy production and modular theory*, Lett. Math. Phys.**114**32 (2024) (link, preprint) - T. Benoist, J.-L. Fatras and C. Pellegrini,
*Limit theorems for Quantum Trajectories*, Stoch. Process. Their Appl.**164**(2023) 288 - 310 (link, preprint) - T. Benoist, M. Fraas and J. Fröhlich,
*The appearance of particle tracks in detectors -- II: the semi-classical realm*, J. Math. Phys.**63**(2022) 062101 (link, preprint) - T. Benoist, L. Hänggli and C. Rouzé,
*Deviation bounds and concentration inequalities for quantum noises*, Quantum**6**(2022) 772 (link, preprint) - T. Benoist, C. Bernardin, R. Chétrite, R. Chhaibi, J. Najnudel and C. Pellegrini,
*Emergence of jumps in quantum trajectories via homogeneization*, Commun. Math. Phys.**387**(2021) 1821 - 1867 (link, preprint) - T. Benoist, N. Cuneo, V. Jakšić and C.-A. Pillet,
*On entropy production of repeated quantum measurements II. Examples,*J. Stat. Phys.**182**(2021) 44 (link, preprint) - M. Ballesteros, T. Benoist, M. Fraas, and J. Fröhlich,
*The appearance of particle tracks in detectors*, Commun. Math. Phys.**385**(2021) 429 – 463 (link, preprint) - T. Benoist, M. Fraas, Y. Pautrat and C. Pellegrini,
*Invariant measure for stochastic Schrödinger equations,*Ann. Henri Poincaré**22**(2021) 347 – 374 (link, preprint) - T. Benoist, A. Panati and Y. Pautrat,
*Heat conservation and fluctuations for open quantum systems in the Two-Time Measurement picture,*J. Stat. Phys.**178**(2020) 893 – 925 (link, preprint) - T. Benoist, A. Panati and R. Raquépas,
*Control of fluctuations and heavy tails for heat variation in the two-time measurement framework,*Ann. Henri Poincaré**20**(2019) 631 (link, preprint). - T. Benoist, F. Gamboa and C. Pellegrini,
*Quantum non demolition measurements: parameter estimation for mixtures of multinomials*, Electron. J. Stat.**12**(1) (2018) 555 – 571 (link, preprint) - T. Benoist, V. Jaksic and C.-A. Pillet,
*Energy statistics in open harmonic networks,*J. Stat. Phys.**168**(2017) 1016 – 1030 (link, preprint) - T. Benoist, M. Fraas, Y. Pautrat and C. Pellegrini,
*Invariant measure for quantum trajectories*, Probab. Theory Relat. Fields**174**(2019) 307 – 334 (link, preprint). - T. Benoist, I. Nechita,
*On bipartite unitary matrices generating subalgebra-preserving quantum operations*, Linear Algebra Appl.**521**(2018) 70 – 103 (link, preprint) - T. Benoist, V. Jaksic, Y. Pautrat, C.-A. Pillet,
*On entropy production of repeated quantum measurements I. General theory*, Commun. Math. Phys.**357**(1) (2018) 77 – 123 (link, preprint) - T. Benoist, M. Fraas, V. Jaksic, C.-A. Pillet,
*Full statistics of erasure processes: Isothermal adiabatic theory and a statistical Landauer principle*, Rev. Roumaine Math. Pures Appl.**62**(2017) 259 – 286 (link, preprint) - T. Benoist, C. Pellegrini, F. Ticozzi,
*Exponential Stability of Subspaces for Quantum Stochastic Master Equations*, Ann. Henri Poincaré,**18**(2017) 2045-2074 (link, preprint) - T. Benoist, V. Jaksic, A. Panati, Y. Pautrat, C.-A. Pillet,
*Full statistics of energy conservation in two times measurement protocols*, Phys. Rev. E**92**(2015) 032115. (link, preprint) - T. Benoist, C. Pellegrini,
*Large Time Behavior and Convergence Rate for Quantum Filters Under Standard Non Demolition Conditions*, Commun. Math. Phys.**331**(2014) 703 – 723. (link, preprint) - M. Bauer, D. Bernard, T. Benoist,
*Iterated stochastic measurements*, J. Phys. A: Math. Theor.**45**(2012) 494020. (link, preprint) - M. Bauer, T. Benoist, D. Bernard,
*Repeated Quantum Non-Demolition Measurements: Convergence and Continuous Time Limit*, Ann. Henri Poincaré**14**(2013) 639 – 679. (link, preprint)

Open quantum systems and quantum stochastic processes (defended in September 2014)

Note: The almost sure convergence rate of Equation (5.205) derived in Section 5.5.4 is too optimistic. It has been corrected in (Benoist, Pellegrini, Ticozzi 2017).

- July 2023:
*Quantum Trajectories: Purification and Invariant Measures*, Frontiers in Mathematical Physics (CY Advanced Studies, Cergy, France) - March 2023:
*Quantum trajectories: purification and invariant measures*, Mathematical Challenges in Quantum Physics (PCTS, Princeton, USA) - August 2022:
*Appearance of Particle Tracks in Detectors*, Quantissima in the Serenissima IV (Venise, Italy) (slides) - July 2022:
*Strong noise limit for quantum trajectories*, AMS-EMS-SMF International meeting 2022 (Mathematical Challenges in Complex Quantum Systems session) (Grenoble, France) - October 2021:
*Purification and stationary distrubution(s) of states for quantum trajectories*, Mathematical Harmony and the Quantum World (Paris, France) - September 2021:
*Deviation bounds and concentration inequalities for quantum noises*, Contributed talk to Beyond IID9 conference (slides BIID9, video) - August 2021:
*Appearance of particle tracks in detectors*, Contributed talk at the International Congress of Mathematical Physics Quantum Mechanics and Spectral Theory thematic session (Slides ICMP 2021, video) - July 2021:
*Vanishing of entropy production and quantum detailed balance*, Mathematical Methods in Quantum Mechanics Special Session, Mathematical Congress of the Americas (Slides MCA 2021) - August 2019:
*Thematic session on Quantum Trajectories*, Quantissima in the Serenissima III (Venice, Italy) - August 2019:
*Vanishing of entropy production and quantum detailed balance*, Quantissima in the Serenissima III (Venice, Italy) (Slides Venice 2019) - July 2018:
*Hypothesis testing of quantum channel unravelings,*ICMP Contributed talk (Montreal, Canada) - August 2017:
*Quantum trajectories: invariant measure uniqueness and mixing,*Quantissima in the Serenissima II (Venice, Italy) (Slides Venice 2017) - August 2016:
*Quantum trajectories and non i.i.d. random products of matrices,*Randomness in Physics and Mathematics Summer School (Bielefeld, Germany). (Slides Bielefeld 2016) - July 2016: Repeated quantum measurements entropy production and hypothesis testing of the arrow of time, Summer School Stochastic Methods in Quantum Mechanics (Autrans, France). (Slides Autrans 2016)
- February 2016: Energy statistics of quantum statistical systems in the adiabatic limit and Landauer’s principle, 8th GDR DYNamique QUAntique meeting (Grenoble, France). (Slides GDR DYNQUA 2016)
- Juillet 2013: Repeated non demolition measurements and wave function collapse, Conference Advance in Open Quantum Systems (Autrans, France). (Slides Autrans 2013)

- December 2023: On repeated quantum measurements, Mini-workshop on Entropies for complex processes (online, MI SANU, Serbia, McGill University, Canada) (video)
- July 2023: Concentration inequality for continuous measurement signal and non commutative Dirichlet form, Workshop on Infinite dimensional quantum Markov semigroups (Tübingen, Germany)
- June 2022: Repeated Quantum Measurements: Examples and Quantum Detailed Balance, Beyond Gibbsianity (Toulon, France)
- May 2022: Concentration inequality for continuous measurement signal and non commutative Dirichlet form, q-coast : Estimation and control of open quantum systems (Paris, France)
- January 2022: A model for the appearance of tracks in particle detectors, ANR NonStops meeting (Cergy Paris University, France)
- February 2021: Vanishing of entropy production and quantum detailed balance, Entropy Inequalities, Quantum Information and Quantum Physics workshop (UCLA, USA) (video)
- September 2019: Quantum detailed balance and vanishing of entropy production for quantum repeated mesaurements, Mathematical Physics workshop (Cergy university, Cergy, France)
- September 2019: Pseudo-paths approach of quantum trajectories with strong noise, Quantum Randomness Workshop (Université de Nice, Nice, France)
- July 2019: Introduction to repeated quantum measurements and quantum trajectories, Mathematical Physics Week (Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia)
- October 2018: Relative entropies and hypothesis testing for repeated quantum measurements (and finitely correlated states) (CRM, Montréal, Canada)
- May 2018: Repeated quantum measurements: Hypothesis testing and instrument discrimination, Workshop: Observability and estimation in quantum dynamics (IHP, Paris, France) (video)
- January 2017: Hypothesis testing for repeated quantum measurements and the emergence of the arrow of time, Workshop: Quantum trajectories, parameter and state estimation (IMT, Université Paul Sabatier, France)
- November 2016: Invariant measures of quantum trajectories, Second meeting of the MISTEQ project (Université Paris Sud, Orsay, France)
- May 2016: Invariant measures of quantum trajectories, First meeting of the MISTEQ project (LPT, Université Paul Sabatier, Toulouse, France)
- November 2015: Unitary matrices generating diagonal preserving quantum channels, Workshop Mathematical methods for quantum information (Universitatea Politehnica Timisoara, Timisoara, Romania)
- September 2015: Energy Full Counting Statistics in the adiabatic limit, Workshop Quantum Thermodynamics and Quantum Information Theory (IMT, Université Paul Sabatier, Toulouse, France)
- June 2015: State preparation by reservoir engineering and quantum trajectory exponential convergence, Workshop Quantum Markov Semigroups: Decoherence and empirical estimates, (Dipartimento di Matematica, Genova, Italy)
- Mai 2012: Repeated quantum non-demolition measurements convergence, Workshop stochastic methods in quantum mechanics (ICJ, Lyon, France).

- February 2024:
*On repeated quantum measurements: limit theorems, entropy production and hypothesis testing of the arrow of time*, Marc Kac seminar (Utrecht, Netherlands) - February 2024:
*Purification along quantum trajectories*, Maths-Phys seminar (Leiden, Netherlands) - November 2023:
*Purification along quantum trajectories*, QLunch seminar (QMATH, Copenhagen, Denmark) - March 2023:
*Vanishing of entropy production and detailed balance for repeated quantum measurements*, QMAP Seminar (UC Davis, CA, USA) - March 2021: 3 parts lecture
*Introduction to quantum trajectories*, Winter 2021 McGill-Cergy Paris Mathematical Physics Seminar (Online) - March 2020: Strong noise and convergence in measure topology, Probability seminar (IMT, Toulouse, France)
- September 2019: Quantum detailed balance and vanishing of entropy production, Mathematical Physics Seminar (TUM, Munich, Germany)
- May 2019: Hypothesis testing for quasi upper Bernoulli probability measures on the one-sided shift of finite type, Séminaire Images Optimisation et Probabilités (Institut de Mathématiques de Bordeaux, Bordeaux, France)
- March 2019: Heavy tails in the heat fluctuations and UV regularity, (ETH Zurich, Switzerland)
- April 2018: Heat fluctuations control and heavy tails in locally perturbed quantum systems, Physics Seminar (Luxembourg university, Luxembourg, Luxembourg)
- October 2017: Hypothesis testing for repeated quantum measurements, Mathematical Physics seminar (Virginia Tech, Blacksburg, Virginia)
- July 2017: Tails of heat full statistics, Working Seminar in Mathematical Physics (University McGill department of Mathematics and Statistics)
- July 2017: Number theoric quantum instruments, Working Seminar in Mathematical Physics (University McGill department of Mathematics and Statistics)
- May 2017: Invariant measures for quantum trajectories, Séminaire de Physique Mathématiques (Centre de Physique Théorique, Marseille)
- May 2017: Invariant measures for quantum trajectories, M. M. Wolf’s group seminar (Mathematical Physics group, Technische Universität München Mathematics center)
- March 2017: Mesures invariantes des trajectoires quantiques: unicité et convergence, Séminaire de Physique Mathématiques (Institut Fourier, Université Grenoble Alpes)
- February 2017: Mesures invariantes des trajectoires quantiques: unicité et convergence, Séminaire de Physique Mathématiques (Laboratoire AGM, Université de Cergy-Pontoise, France)
- September 2016: Invariant measures of quantum trajectories, Working Seminar in Mathematical Physics (University McGill department of Mathematics and Statistics)
- July 2016: Limite adiabatique pour les systèmes quantiques ouvert et statistique de la chaleur et du travail à l’équilibre, Séminaire de Physique Mathématiques (ICJ, Lyon, France)
- May 2016: Limite adiabatique pour les systèmes quantiques ouvert et statistique de la chaleur et du travail à l’équilibre, Séminaire EDP (IRMAR, Rennes, France)
- January 2016: Entropies of repeated quantum indirect measurements, Probability Seminar (Institut de Mathématiques de Toulouse, Toulouse, France)
- October 2015: Energy Full Counting Statistics and Landauer Principle in the adiabatic limit, Working Seminar in Mathematical Physics (Mathematics and Statistics Departement, McGill University, Montréal, Canada).
- Novembre 2014: Stabilization through reservoir engineering, Working Seminar in Mathematical Physics (University McGill department of Mathematics and Statistics).
- Avril 2014: Repeated non demolition measurements and wave function collapse (Theoretical Physics Institute, ETH, Zurich).
- Mars 2014: Repeated non demolition measurements and wave function collapse (Mathematical Physics group, Technische Universität München Mathematics center).
- Février 2014: Repeated non demolition measurements and wave function collapse (Physics research unit, University of Luxembourg).
- Janvier 2014: Repeated non demolition measurements and wave function collapse, Working Seminar in Mathematical Physics (University McGill department of Mathematics and Statistics).
- Novembre 2012: Repeated quantum non-demolition measurements convergence (LPT, Université Paul Sabatier).

- June 2024 - ...: Reshmi Mazhavanchery Neelakandan
- October 2022 - ...: Anna Szczepanek

- September 2024 - ...: Jan-Luka Fatras
- September 2022 - ...: Arnaud Hautecœur

- May 2024 - July 2024: Louise Moulin, M1 research internship in theoretical physics (with Clément Pellegrini)
- February 2024 - June 2024: Jan-luka Fatras, M2 research internship (with Clément Pellegrini)
- March 2023 - July 2023: Zhuoyi Chen, M2 research internship (with Clément Pellegrini)
- February 2023 - July 2023: Andreina Campisi, M2 research internship (with Clément Pellegrini)
- April 2022 - July 2022: Jan-luka Fatras, M1 research internship (with Clément Pellegrini)
- March 2022 - July 2022: Arnaud Hautecœur, M2 research internship (with Clément Pellegrini)
- February 2022 - July 2022: Linda Greggio, M2 research internship (with Clément Pellegrini)
- June 2020 – August 2020: Alexandra Amani, Claire Lebrun and Hui Xin She, L3 research internship
- February 2020 – April 2020: Jianyu MA and Omar EI Qodsi, M1 internship (with Clément Pellegrini)
- April 2019 – July 2019: Ka Lok Tam, M2 internship (with Fabrice Gamboa and Clément Pellegrini)
- May 2016 – July 2017: Renaud Raquépas, McGill Graduate student (with Vojkan Jaksic).

- October 2022 - January 2023: 18h reading seminar of introduction to quantum mechanics for probabilists at Université Paul Sabatier - Toulouse 3,
- June 2022: 5h lectures of introduction to quantum trajectories at Mathematical aspects of quantum mechanics school (IFCAM, Bangalore, India)
- May 2022: 6h lectures of introduction to quantum mechanics for undergraduate students at CY AS (CY University, France)
- January 2022 - May 2022: 36h of tutorial sessions in probability and statistics for third year applied mathematics and economy students at Université Paul Sabatier - Toulouse 3,
- October 2021 - January 2022: 18h reading seminar of introduction to quantum mechanics for probabilists at Université Paul Sabatier - Toulouse 3,
- January 2021 - May 2021: 24h of tutorial sessions in probability and statistics for third year applied mathematics and economy students at Université Paul Sabatier - Toulouse 3,
- January 2020 - May 2020: 24h of tutorial sessions in probability and statistics for third year applied mathematics and economy students at Université Paul Sabatier - Toulouse 3,
- February 2018: 40h of lectures on Stochastic Calculus (Jointly with Anthony Réveillac), Maestria of La Havana university (La Havana, Cuba)
- January 2016 – June 2016: 14h of tutorial sessions in probability and statistics for second year students at INSA Toulouse.
- September 2015 – December 2015: 51h of tutorial sessions in mathematics for first year students at INSA Toulouse.
- Septembre 2014 – Janvier 2014 : 10h of research level lectures: Introduction to quantum trajectories and applications, Mathematical physics Workshop, Department of Mathematics and Statistics, McGill university.

- Since February 2018: Mathematics and Physics seminar (Toulouse, France)
- May 2024: Conference on Quantum Statistical Mechanics (Toulouse, France)
- March 2024: Conference on Open Quantum Systems (Toulouse, France)
- January 2024: Winter school on Mathematical Aspects of Quantum Mechanics (Toulouse, France)
- January - June 2024: Thematic semester Mathematical Aspects of Quantum Mechanics (Toulouse, France)
- May 2023: Workshop: concentration inequalities for quantum measurements and non commutative functional inequalities (Toulouse, France)
- February 2022: GDR DynQua 2022 meeting (Toulouse, France)
- October 2021: Quantum Trajectories Fall school (Toulouse, France)
- December 2018: Workshop PEPS (Toulouse, France)
- November 2017: Workgroup: Matrix Product States within ANR project StoQ (Toulouse, France)
- January 2017: Workshop: Quantum trajectories, parameter and state estimation (Toulouse, France)
- May 2016: First meeting of the MISTEQ project (Toulouse, France)
- October 2011 – June 2014: ENS Physics department young researchers in theoretical condensed matter seminar organizer.

- 2021-2025: Coordinator of ANR JCJC “Quantum Trajectories” project.
- 2021-2025: Member of ANR PRC ESQUISSE project.
- 2019: PEPS JCJC with N. Cuneo.
- 2018-2019: Main participant of LaBex CIMI project Markov processes.
- 2016-2017: Coordinator of InFIniti project MISTEQ.
- 2014-2019: Member of A.N.R. project StoQ.

- Journal refereeing: Annales Henri Poincaré, Canadian Journal of Mathematics, Journal of Statistical Physics, Journal of Mathematical Physics, Entropy, Qualitative Theory of Dynamical Systems, Physical Review Letters, Physical Review B, CUBO, Physical Review E, JSTAT, Communications in Mathematical Physics, Forum of Mathematics, Sigma, SIAM Journal on Control and Optimization.
- Book refereeing: Springer.
- National responsabilities: January 2024 - ... member and scientific secretary of CNRS Physique CSI.

- September 2014: Ph.D. In Mathematical Physics with high honors at École Normale Supérieure (Paris, France)

Supervisor: Denis Bernard - June 2011: Master’s degree in Theoretical Physics with honors at École Normale Supérieure (Paris, France)
- June 2009: Bachelor degree in Mathematics with honors at Université Pierre et Marie Curie (Paris, France)
*January 2007 – December 2007: Temporary interruption for medical reasons.*- June 2006: Bachelor degree in Physics with honors at Université de Bretagne Sud (Lorient, France)

Languages: French (native language), English (fluent).

Other :

- Several interventions for popularization of science with
*Planète sciences*from 2003 to 2006 - Student Mutual Health Insurance (LMDE) Administrator from 2008 to 2009
- Elected student representative at National Council for Higher Education and Research (France – CNESER), from 2006 to 2008