Kavan Modi - Capturing long-range memory structures with tree-geometry process tensors

Mon, 24 Nov 2025 00:00:00 +0000

Capturing long-range memory structures with tree-geometry process tensors

Ce séminaire, donné par Kavan Modi, aura lieu le 24 November 2025, à 13:0. Il aura lieu en salle Not specified.

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Résumé

We introduce a class of quantum non-Markovian processes—dubbed process trees—that exhibit polynomially decaying temporal correlations and memory distributed across timescales. This class of processes is described by a tensor network with treelike geometry whose component tensors are (1) causality-preserving maps (superprocesses) and (2) locality-preserving temporal change-of-scale transformations. We show that the long-range correlations in this class of processes Reference: N Dowling, K Modi, RN Muñoz, S Singh, GAL White. Physical Review X 14, 041018 (2024) All the best, Marco – Marco Túlio Quintino (he/him) Associate professor (Maître de conférences [HDR])Sorbonne University, CNRS, LIP6 Paris, France https://mtcq.github.io/

Higher-Order Quantum Operations

Mon, 17 Mar 2025 00:00:00 +0000

An operational description of quantum phenomena concerns developing models that describe experimentally observed behaviour. $\textit{Higher-order quantum operations}\unicode{x2014}$quantum operations that transform quantum operations$\unicode{x2014}$are fundamental to modern quantum theory, extending beyond basic state preparations, evolutions, and measurements described by the Born rule. These operations naturally emerge in quantum circuit architectures, correlated open dynamics, and investigations of quantum causality, to name but a few fields of application. This Review Article provides both a pedagogical introduction to the framework of higher-order quantum operations and a comprehensive survey of current literature, illustrated through physical examples. We conclude by identifying open problems and future research directions in this rapidly evolving field.

Kavan Modi | LIP6 - Équipe QI

Kavan Modi - Capturing long-range memory structures with tree-geometry process tensors

Capturing long-range memory structures with tree-geometry process tensors

Résumé

Higher-Order Quantum Operations