A5080902981- Quantum Information and Cryptography
- Quantum many-body systems
- Quantum Computing Algorithms and Architecture
- Quantum and electron transport phenomena
- Quantum Mechanics and Applications
- Neural Networks and Reservoir Computing
- Cold Atom Physics and Bose-Einstein Condensates
- Statistical Mechanics and Entropy
- Quantum chaos and dynamical systems
- Topological Materials and Phenomena
- Spectroscopy and Quantum Chemical Studies
- Model Reduction and Neural Networks
- Advanced Thermodynamics and Statistical Mechanics
- Quantum optics and atomic interactions
- Stochastic Gradient Optimization Techniques
- Advancements in Semiconductor Devices and Circuit Design
- Laser-Matter Interactions and Applications
- Computability, Logic, AI Algorithms
- Tensor decomposition and applications
- Algebraic structures and combinatorial models
- Physics of Superconductivity and Magnetism
Université Grenoble Alpes
2023-2025
Centre National de la Recherche Scientifique
2023-2025
Laboratoire de Physique et Modélisation des Milieux Condensés
2023-2025
The Abdus Salam International Centre for Theoretical Physics (ICTP)
2020-2024
Scuola Internazionale Superiore di Studi Avanzati
2020-2024
University of Naples Federico II
2019
We propose an ordered set of experimentally accessible conditions for detecting entanglement in mixed states. The $k$-th condition involves comparing moments the partially transposed density operator up to order $k$. Remarkably, union all moment inequalities reproduces Peres-Horodecki criterion entanglement. Our empirical studies highlight that first four already detect state reliably a variety quantum architectures. Exploiting symmetries can help further improve their detection...
When a quantum system initialized in product state is subjected to either coherent or incoherent dynamics, the entropy of any its connected partitions generically increases as function time, signalling inevitable spreading (quantum) information throughout system. Here, we show that, presence continuous symmetries and under ubiquitous experimental conditions, symmetry-resolved inhibited due competition dynamics: given number sectors, decreases dynamical purification. Such purification bridges...
An efficient method to extract higher-order density-matrix functionals and access operator entanglement is introduced tested on experimental data, improving the characterization of nonequilibrium dynamics many-body quantum systems.
Abstract Understanding how interacting particles approach thermal equilibrium is a major challenge of quantum simulators 1,2 . Unlocking the full potential such systems towards this goal requires flexible initial state preparation, precise time evolution and extensive probes for final characterization. Here we present simulator comprising 69 superconducting qubits that supports both universal gates high-fidelity analogue evolution, with performance beyond reach classical simulation in...
Abstract Symmetry breaking is a fundamental concept in understanding quantum phases of matter, studied so far mostly through the lens local order parameters. Recently, new entanglement-based probe symmetry has been introduced under name entanglement asymmetry , which employed to investigate mechanism dynamical restoration. Here, we provide universal formula for matrix product states with finite bond dimension, valid large volume limit. We show that any compact—discrete or continuous—group...
In the context of ground states quantum many-body systems, locality entanglement between connected regions space is directly tied to corresponding Hamiltonian: latter dominated by local, few-body terms. this work, we introduce negativity Hamiltonian as (non-Hermitian) effective operator describing logarithm partial transpose a system. This allows us address connection and beyond paradigm bipartite pure systems. As first step in direction, study structure for fermionic conformal field...
We present the experimental measurement, on a quantum processor, of series polynomial lower bounds that to Fisher information (QFI), fundamental quantity for certifying multipartite entanglement is useful metrological applications. combine advanced methods randomized measurement toolbox obtain estimators are robust regarding drifting errors caused uniquely during protocol. estimate QFI Greenberger-Horne-Zeilinger states, observing genuine entanglement. Then we prepare ground state...
Quantum simulators offer powerful means to investigate strongly correlated quantum matter. However, interpreting measurement outcomes in such systems poses significant challenges. Here, we present a theoretical framework for information extraction synthetic matter, illustrated the case of quench spinor Bose-Einstein condensate experiment. Employing nonparametric unsupervised learning tools that provide different measures content, demonstrate theory-agnostic approach identify dominant degrees...
Entanglement provides characterizing features of true topological order in two-dimensional systems. We show how entanglement disconnected partitions defines invariants for one-dimensional superconductors. These parameters quantitatively capture the that is possible to distill from ground-state manifold and are thus quantized 0 or $log2$. Their robust quantization property inferred underlying lattice gauge theory description superconductors corroborated via exact solutions numerical...
We present experimentally and numerically accessible quantities that can be used to differentiate among various families of random entangled states. To this end, we analyze the entanglement properties bipartite reduced states a tripartite pure state. introduce ratio simple polynomials low-order moments partially transposed density matrix, show takes well-defined values in thermodynamic limit for This allows us sharply distinguish phases way understood from quantum information perspective...
Topology plays a fundamental role in our understanding of many-body physics, from vortices and solitons classical field theory to phases excitations quantum matter. Topological phenomena are intimately connected the distribution information content that, differently ordinary matter, is now governed by nonlocal degrees freedom. However, precise characterization how topological effects govern complexity state, i.e., its partition function, presently unclear. In this paper, we show topology...
Recently, a novel probe to study symmetry breaking, known as entanglement asymmetry, has emerged and been utilized explore how is dynamically restored following quantum quenches. Interestingly, it shown that, in certain scenarios, greater initial breaking leads faster restoration, akin Mpemba effect. This focuses on investigating the effect of mixed states non-unitary dynamics restoration. The mixedness state can arise from different sources. We consider dephasing or dissipative processes...
We propose a new viewpoint on the study of localization transitions in disordered quantum systems, showing how critical properties can be seen also as geometric transition data space generated by classically encoded configurations system.We showcase our approach to Anderson model regular random graphs, known for displaying features interacting despite being single-particle problem.We estimate point and exponents agreement with best-known results literature.We provide simple coherent...
The Maximum Independent Set (MIS) problem is a fundamental combinatorial optimization task that can be naturally mapped onto the Ising Hamiltonian of neutral atom quantum processors. Given its connection to NP-hard problems and real-world applications, there has been significant experimental interest in exploring advantage for MIS. Pioneering experiments on King's Lattice graphs suggested quadratic speed-up over simulated annealing, but recent benchmarks using state-of-the-art methods found...
Leggett-Garg's inequalities predict sharp bounds for some classical correlation functions that address the quantum or nature of real-time evolutions. We experimentally observe violations these on single- and multi-qubit systems, in different settings, exploiting IBM Quantum platform. In case we introduce Leggett-Garg-Bell's as an alternative to previous ones. Measuring functions, find error mitigation be essential spot violations. Accessing only two qubit readouts, assess emerge most...
We present the experimental measurement, on a quantum processor, of series polynomial lower bounds that converge to Fisher information (QFI), fundamental quantity for certifying multipartite entanglement is useful metrological applications. combine advanced methods randomized measurement toolbox obtain estimators are robust against drifting errors caused uniquely during protocol. estimate QFI Greenberg-Horne-Zeilinger states, observing genuine entanglement. Then, we prepare ground state...
Quantum simulators offer powerful means to investigate strongly correlated quantum matter. However, interpreting measurement outcomes in such systems poses significant challenges. Here, we present a theoretical framework for information extraction synthetic matter, illustrated the case of quench spinor Bose-Einstein condensate experiment. Employing non-parametric unsupervised learning tools that provide different measures content, demonstrate system-agnostic approach identify dominant...
Understanding how interacting particles approach thermal equilibrium is a major challenge of quantum simulators. Unlocking the full potential such systems toward this goal requires flexible initial state preparation, precise time evolution, and extensive probes for final characterization. We present simulator comprising 69 superconducting qubits which supports both universal gates high-fidelity analog with performance beyond reach classical simulation in cross-entropy benchmarking...
The operator entanglement (OE) is a key quantifier of the complexity reduced density matrix. In out-of-equilibrium situations, e.g. after quantum quench product state, it expected to exhibit an barrier. OE matrix initially grows linearly as builds up between local degrees freedom, then reaches maximum, and ultimately decays small finite value converges simple stationary state through standard thermalization mechanisms. Here, by performing new data analysis published experimental results...
Symmetry breaking is a fundamental concept in understanding quantum phases of matter, studied so far mostly through the lens local order parameters. Recently, new entanglement-based probe symmetry has been introduced under name \textit{entanglement asymmetry}, which employed to investigate mechanism dynamical restoration. Here, we provide universal formula for entanglement asymmetry matrix product states with finite bond dimension, valid large volume limit. We show that any compact --...
Abstract Adiabatic quantum computation (AQC) is a promising counterpart of universal computation, based on the key concept annealing (QA). QA claimed to be at basis commercial computers and benefits from fact that detrimental role decoherence dephasing seems have poor impact towards ground state. While many papers show interesting optimization results with sizable number qubits, clear evidence full coherent behavior during whole procedure still lacking. In this paper we non-demolition (weak)...
We study the disconnected entanglement entropy, $S^D$, of Su-Schrieffer-Heeger model. $S^D$ is a combination both connected and bipartite entropies that removes all area volume law contributions, thus only sensitive to non-local stored within ground state manifold. Using analytical numerical computations, we show behaves as topological invariant, i.e., it quantized either $0$ or $2 \log (2)$ in topologically trivial non-trivial phases, respectively. These results also hold presence...