### Current position

Since October 2016: Postdoctoral researcher (CIMI postdoctoral fellowship) at Toulouse Mathematics Institute (Statistics and Probability team).

### Previous positions

- 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).

### Publications

- T. Benoist, A. Panati and R. Raquépas,
*Control of fluctuations and heavy tails for heat variation in the two-time measurement framework*(2018) arXiv:1802.02073 (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 (2018) (link, preprint). - T. Benoist, I. Nechita,
*On bipartite unitary matrices generating subalgebra-preserving quantum operations*, Linear Algebra Appl.**521**(2017) 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**(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)

### Presentations at international conferences

- 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)

### Presentations at workshops

- May 2018: Repeated quantum measurements: Hypothesis testing and instrument discrimination, Workshop: Observability and estimation in quantum dynamics (IHP, Paris, France)
- 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).

### Presentations at seminars

- 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).

### Teaching

- February 2018: 40h of lectures on Stochastic Calculus (Jointly with Anthony Réveillac), Maestria of La Havana university (La Havana, Cuba)
- May 2016 – July 2017: Advisor of Renaud Raquépas, McGill Graduate student with co-advisor Vojkan Jaksic.
- 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.

### Event organization

- Since February 2018: Mathematics and Physics seminar (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.

### Funding

- 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.

### Studies

- 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)

### Other abilities and experiences

Languages :

- French: native language
- English: fluent
- Spanish: notions
- German: notions

Other :

- 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

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