2024

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) journal

Generating series and matrix models for meandric systems with one shallow side Motohisa Fukuda and Ion Nechita Inst. Henri Poincaré Comb. Phys. Interact. (2024) journal

2023

Polytope compatibility – from quantum measurements to magic squares Andreas Bluhm, Ion Nechita and Simon Schmidt to appear in Journal of Mathematical Physics 2023

Extending the known region of nonlocal boxes that collapse communication complexity Pierre Botteron, Anne Broadbent, and Marc-Olivier Proulx Phys. Rev. Letter 16 November 2023

A physical noise model for quantum measurements Faedi Loulidi, Ion Nechita, Clément Pellegrini accepted to scipost

Limit theorems for Quantum Trajectories T. Benoist, J.-L. Fatras and C. Pellegrini Stoch. Process. Their Appl. 164 (2023) 288 - 310

The Asymmetric Quantum Cloning Region Ion Nechita, Clément Pellegrini and Denis Rochette Letters in Mathematical Physics

2022

The appearance of particle tracks in detectors – II: T. Benoist, M. Fraas and J. Fröhlich, the semi-classical realm, J. Math. Phys. 63 (2022) 062101

Deviation bounds and concentration inequalities for quantum noises T. Benoist, L. Hänggli and C. Rouzé Quantum 6 (2022) 772

Measurement incompatibility vs. Bell non-locality: an approach via tensor norms Faedi Loulidi, Ion Nechita – PRX Quantum 3, 040325 (2022) journal arXiv

Order preserving maps on quantum measurements Ion nechita, Teiko Heinosaari and Maria Jivulescu – Quantum 6, 853 (2022) [journal] [arXiv]

Entanglement criteria for the bosonic and fermionic induced ensembles Ion Nechita, Stephane Dartois and Adrian Tanasa – Quantum Information Processing volume 21, Article number: 376 (2022) [journal] [arXiv]

The PPT² conjecture holds for all Choi-type maps Ion Nechita and Satvik Singh – Annales Henri Poincaré volume 23, pages 3311–3329 (2022) [journal] [arXiv]

Incompatibility in general probabilistic theories, generalized spectrahedra, and tensor norms (Ion Nechita Andreas Bluhm and Anna Jenčová) – Comm. Math. Phys. 393(3), 1125-1198 (2022) [journal] arXiv]

A Fisher information-based incompatibility criterion for quantum channels (Ion Nechita, Qing-Hua Zhang) – Entropy 2022, 24(6), 805 (2022) [journal] [arXiv]

A tensor norm approach to quantum compatibility (Ion Nechita, Andreas Bluhm) – J. Math. Phys. 63, 062201 (2022) [journal] [arXiv]

Diagonal unitary and orthogonal symmetries in quantum theory II: Evolution operators (Ion Nechita Satvik Singh) – J. Phys. A: Math. Theor. 55 255302 (2022) [journal] [arXiv]

Multipartite entanglement detection via projective tensor norms (Ion Nechita, Maria Jivulescu and Cécilia Lancien) – Ann. Henri Poincaré (2022) [journal] [arXiv]

Maximal violation of steering inequalities and the matrix cube (Ion Nechita, Andreas Bluhm) – Quantum 6, 656 (2022) [journal] [arXiv]

Spiking and collapsing in large noise limits of SDEs C. Bernardin, R. Chetrite, Reda Chhaibi, J. Najnudel, C. Pellegrini Annals of Applied Probability 54 385304.

Parameter Estimation for Quantum Trajectories: Convergence Result N. Amini and M. Bompais and C. Pellegrini IEEE Conference on Decision and Control CDC 2022

2021

Invariant Measure for Stochastic Master Equations (T. Benoist, M. Fraas, Y. Pautrat, C.Pellegrini) - Annales Henri Poincaré volume 22, pages347–374(2021)

Classical Noises Emerging from Quantum Environments (S.Attal and J. Deschamps, C.Pellegrini) accepted for publication in Séminaire de Probabilités.

Emergence of Quantum Jumps via Homogenization (T. Benoist, C. Bernardin, R. Chetrite, Reda Chhaibi, J. Najnudel, C.Pellegrini) - Communications in Mathematical Physics 387, pages 1821–1867 (2021)

On Asymptotic Stability of Quantum Trajectories and Their Cesaro Mean (TN. Amini, M. Bompais, C.Pellegrini) 2021 J. Phys. A: Math. Theor. 54 385304.

A geometrical description of the universal 1→2 asymmetric quantum cloning region (Ion Nechita, Clément Pellegrini and Denis Rochette) – Quantum Information Processing volume 20, 333 (2021) [journal] [arXiv]

A refinement of Reznick’s Positivstellensatz with applications to quantum information theory (with Alexander Müller-Hermes and David Reeb) – Quantum 7, 1001 (2023) [journal] [arXiv]

Diagonal unitary and orthogonal symmetries in quantum theory (Satvik Singh, Ion Nechita) – Quantum 5, 519 (2021) [journal] [arXiv]

Generating random quantum channels (with Ryszard Kukulski, Łukasz Pawela, Zbigniew Puchała, and Karol Życzkowski) – Journal of Mathematical Physics 62, 062201 (2021) [journal] [arXiv]

SudoQ – a quantum variant of the popular game (Jordi Pillet, Ion Nechita) – Quantum Information & Computation Vol. 21 No. 9&10 (2021) [journal] [arXiv]

The compatibility dimension of quantum measurements (Faedi Loulidi, Ion Nechita) – Journal of Mathematical Physics 62, 042205 (2021) [journal] [arXiv]

Sinkhorn algorithm for quantum permutation groups (Simon Schmidt, Moritz Weber and Ion Nechita) – Experimental Mathematics [journal] [arXiv]

A graphical calculus for integration over random diagonal unitary matrices (Ion Nechita, Satvik Singh) – Linear Algebra and its Applications 613, 46-86 (2021) [journal] [arXiv]

On entropy production of repeated quantum measurements II. Examples, T. Benoist, N. Cuneo, V. Jakšić and C.-A. Pillet, J. Stat. Phys. 182 (2021) 44

The appearance of particle tracks in detectors M. Ballesteros, T. Benoist, M. Fraas, and J. Fröhlich, , Commun. Math. Phys. 385 (2021) 429 – 463