Published Articles

2025

  • Quantum Trajectories. Spectral Gap, Quasi-compactness & Limit Theorems (Tristan Benoist, Arnaud Hautecoeur, Clément Pellegrini ) - J. Funct. Anal. 288(3), 110932 (2025) [journal] [arXiv]

2024

  • On random classical marginal problems with applications to quantum information theory (Ankit Kumar Jha, Ion Nechita) - J. Phys. A: Math. Theor. 57, 085302 (2024) [journal] [arXiv]
  • Ergodic theory of diagonal orthogonal covariant quantum channels (Satvik Singh, Nilanjana Datta, Ion Nechita) - Lett. Math. Phys. 114, 121 (2024) [journal] [arXiv]
  • Generating random Gaussian states (Leevi Leppäjärvi, Ion Nechita, Ritabrata Sengupta) - J. Math. Phys. 65, 082201 (2024) [journal] [arXiv]
  • A physical noise model for quantum measurements (Faedi Loulidi, Ion Nechita,Clément Pellegrini) - J. Phys. A: Math. Theor. (accepted 2024) [arXiv]
  • Quantum Trajectory of the One Atom Maser (Tristan Benoist, Laurent Bruneau, Clément Pellegrini) - Probab. Math. Phys. (accepted 2024) [arXiv]
  • Exponential Selection and Feedback Stabilization of Invariant Subspaces of Quantum Trajectories (Nina H Amini, Maël Bompais, Clément Pellegrini) - SIAM J. Control Optim. 62(5), 2834-2857 (2024) [journal] [arXiv]
  • Algebra of nonlocal boxes and the Collapse of communication complexity (Pierre Botteron, Anne Broadbent, Reda Chhaibi, Ion Nechita, Clément Pellegrini) - Quantum 8, 1402 (2024) [journal] [arXiv]
  • A note on two-times measurement entropy production and modular theory (Tristan Benoist, Laurent Bruneau, Vojkan Jakšić, Annalisa Panati, Claude-Alain Pillet) - Lett. Math. Phys. 114, 32 (2024) [journal] [arXiv]
  • Generating series and matrix models for meandric systems with one shallow side (Motohisa Fukuda, Ion Nechita) - Ann. Inst. Henri Poincaré D 11(2), 299-330 (2024) [journal] [arXiv]
  • Extending the known region of nonlocal boxes that collapse communication complexity (Pierre Botteron, Anne Broadbent, Marc-Olivier Proulx) - Phys. Rev. Lett. 132, 070201 (2024) [journal] [arXiv]

2023

  • Polytope compatibility—From quantum measurements to magic squares (Andreas Bluhm, Ion Nechita, Simon Schmidt) - J. Math. Phys. 64, 122201 (2023) [journal] [arXiv]
  • Limit theorems for quantum trajectories (Tristan Benoist, Jan-Luka Fatras, Clément Pellegrini) - Stoch. Process. Appl. 164, 288-310 (2023) [journal] [arXiv]
  • A refinement of Reznick’s Positivstellensatz with applications to quantum information theory (Alexander Müller-Hermes, Ion Nechita, David Reeb) - Quantum 7, 1001 (2023) [journal] [arXiv]
  • Sinkhorn algorithm for quantum permutation groups (Ion Nechita, Simon Schmidt, Moritz Weber) - Exp. Math. 32(1), 156-168 (2023) [journal] [arXiv]
  • Spiking and collapsing in large noise limits of SDEs (Cédric Bernardin, Raphaël Chetrite, Reda Chhaibi, Joseph Najnudel, Clément Pellegrini) - Ann. Appl. Probab. 33(1), 417-446 (2023) [journal] [arXiv]

2022

  • Deviation bounds and concentration inequalities for quantum noises (Tristan Benoist, Lisa Hänggli, Ion Nechita, Cambyse Rouzé) - Quantum 6, 772 (2022) [journal] [arXiv]
  • Measurement Incompatibility versus Bell Nonlocality: An Approach via Tensor Norms (Faedi Loulidi, Ion Nechita) - PRX Quantum 3, 040325 (2022) [journal] [arXiv]
  • Order preserving maps on quantum measurements (Teiko Heinosaari, Maria Anastasia Jivulescu, Ion Nechita) - Quantum 6, 853 (2022) [journal] [arXiv]
  • Entanglement criteria for the bosonic and fermionic induced ensembles (Stephane Dartois, Ion Nechita, Adrian Tanasa) - Quantum Inf. Process. 21, 376 (2022) [journal] [arXiv]
  • The PPT 2 conjecture holds for all choi-type maps (Ion Nechita, Satvik Singh) - Ann. Henri Poincaré 23(9), 3311-3329 (2022) [journal] [arXiv]
  • Incompatibility in general probabilistic theories, generalized spectrahedra, and tensor norms (Andreas Bluhm, Anna Jenčová, Ion Nechita) - Commun. Math. Phys. 393(3), 1125-1198 (2022) [journal] [arXiv]
  • A fisher information-based incompatibility criterion for quantum channels (Ion Nechita, Qing-Hua Zhang) - Entropy 24(6), 805 (2022) [journal] [arXiv]
  • A tensor norm approach to quantum compatibility (Andreas Bluhm, Ion Nechita) - 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 (Maria Anastasia Jivulescu, Cécilia Lancien, Ion Nechita) - Ann. Henri Poincaré 23(11), 3791-3838 (2022) [journal] [arXiv]
  • Maximal violation of steering inequalities and the matrix cube (Andreas Bluhm, Ion Nechita) - Quantum 6, 656 (2022) [journal] [arXiv]
  • Classical noises emerging from quantum environments (Stéphane Attal, Julien Deschamps, Ion Nechita, Clément Pellegrini) - Sémin. Probab. LI, 341-380 (2022) [journal] [arXiv]
  • Parameter estimation for quantum trajectories: Convergence result (Maël Bompais, Nina H Amini, Ion Nechita, Clément Pellegrini) - 2022 IEEE 61st Conference on Decision and Control (CDC), 5161-5166 (2022) [journal] [arXiv]

2021

  • Invariant measure for stochastic Schrödinger equations (Tristan Benoist, Martin Fraas, Yan Pautrat, Clément Pellegrini) - Ann. Henri Poincaré 22, 347-374 (2021) [journal] [arXiv]
  • Emergence of jumps in quantum trajectories via homogenization (Tristan Benoist, Cédric Bernardin, Raphaël Chetrite, Reda Chhaibi, Joseph Najnudel, Clément Pellegrini) - Commun. Math. Phys. 387(3), 1821-1867 (2021) [journal] [arXiv]
  • On asymptotic stability of quantum trajectories and their Cesaro mean (Nina H Amini, Maël Bompais, Clément Pellegrini) - J. Phys. A: Math. Theor. 54, 385304 (2021) [journal] [arXiv]
  • A geometrical description of the universal 1→ 2 asymmetric quantum cloning region (Ion Nechita, Clément Pellegrini, Denis Rochette) - Quantum Inf. Process. 20, 333 (2021) [journal] [arXiv]
  • Diagonal unitary and orthogonal symmetries in quantum theory (Ion Nechita, Satvik Singh) - Quantum 5, 519 (2021) [journal] [arXiv]
  • Generating random quantum channels (Ryszard Kukulski, Łukasz Pawela, Ion Nechita, Zbigniew Puchała, Karol Życzkowski) - J. Math. Phys. 62, 062201 (2021) [journal] [arXiv]
  • The compatibility dimension of quantum measurements (Faedi Loulidi, Ion Nechita) - J. Math. Phys. 62, 042205 (2021) [journal] [arXiv]
  • A graphical calculus for integration over random diagonal unitary matrices (Ion Nechita, Satvik Singh) - Linear Algebra Appl. 613, 46-86 (2021) [journal] [arXiv]
  • On entropy production of repeated quantum measurements II. Examples (Tristan Benoist, Noé Cuneo, Vojkan Jakšić Claude-Alain Pillet, ) - J. Stat. Phys. 182, 46 (2021) [journal] [arXiv]
  • The appearance of particle tracks in detectors (Miguel Ballesteros, Tristan Benoist, Martin Fraas, Jürg Fröhlich) - Commun. Math. Phys. 385, 429-463 (2021) [journal] [arXiv]

2020

  • SudoQ–a quantum variant of the popular game (Ion Nechita, Jordi Pillet) - arXiv preprint (2020) [arXiv]