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QUANTUM

FINITE AND INFINITE QUANTUM SYSTEMS

Entanglement, Coherence and Control

The INFN Research Network (Iniziativa Specifica) QUANTUM involves 10 research groups: Bari, Bologna, Camerino, Catania, Palermo, Milano (Como), Napoli, Salerno, Padova and Trieste, affiliated with 7 INFN theory divisions: Bari, Bologna, Catania, Milano, Napoli, Padova and Trieste. The major objective of QUANTUM is the investigation of typical quantum mechanical effects and phenomena via three major, interrelated avenues:

Entanglement and other Quantum Correlations,
Quantum Simulation, and
Theory of Quantum Control.

Common research themes include the links of entanglement with complexity and information theory, its key role in quantum phase transitions, and the analysis of many-body systems. In addition; the field of quantum simulations, with ground-breaking applications to high-energy physics, lattice gauge theories, many-body systems, and quantum field theories; the development of new measurement and control techniques for open quantum systems, requires strategies to improve the efficiency of thermodynamics processes at the quantum scale, sub-shot-noise imaging and quantum metrology. The theoretical effort is interdisciplinary and highly synergic, involving close collaborations among the partners, exchange of students, post-docs and young researchers, and the use of analytical techniques and numerical methods from quantum field theory, statistical mechanics and quantum information theory.

Quantum simulations

We work on quantum simulation protocols for Abelian and non-Abelian lattice field theories, addressing the preparation of specific excitations, including low-energy and/or topological states, as well as their real-time dynamics. These problems are first benchmarked using quantum-inspired numerical techniques and then tackled through both analog and digital quantum simulations, designed with specific NISQ devices in mind, mainly based on atomic and superconducting technologies.

We also provide theoretical benchmarks and optimal configurations for the quantum simulation of many-body Hamiltonians across different platforms, ranging from Fermi-Fermi and Bose-Fermi mixtures to coherently driven atomic systems.

Entanglement and quantum resources

We analyze the interplay between quantum entanglement and other quantum resources that are becoming increasingly relevant in many-body quantum physics. In particular, we explore the relationship between entanglement and so-called nonstabilizerness, or quantum magic, as well as non-Gaussianity and quantum asymmetry.

These resources are studied in different contexts, both in and out of equilibrium, and their relevance for diagnosing phase transitions in a broad sense is also investigated. These results also guide the development of methods for quantum simulations, both in the context of Clifford-augmented matrix product states and digital algorithms.

Staff members: Marcello Dalmonte, Cristian Degli Esposti Boschi, Elisa Ercolessi, Alfredo Iorio, David Aram Korbany, Michele Mazzoni, Piebiagio Pieri, Lorenzo Piroli

PhD students: Juan Pablo Bayona Pena, Pietro Bovini, Marko Brnovic, Matteo Grotti, Milajiguli Rexiti, Octavio, Francesco Pirolo, Leonardo Pisani, David Gyorgy Szasz-Schgrin, Jinghao Wang

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