Talks

Error mitigation (EM) methods are crucial for obtaining reliable results in the realm of noisy intermediate-scale quantum (NISQ) computers, where noise significantly impacts output accuracy. Some EM protocols are particularly efficient for specific types of noise. Yet the noise in the actual hardware may not align with that.

I will introduce "noise-tailoring" (NT) — an innovative strategy designed to modify the structure of the noise associated with two-qubit gates through statistical sampling. I will discuss its application for IBM's quantum computers and show evidence that NT+EM result can be up to an order of magnitude more accurate than the result of EM alone.

I will also discuss the overheads that accompany the NT method and that may limit its practical applicability.

Tensor products of normed spaces. From matrix to tensor norms.

After introducing the basic notions about tensors, I will discuss different aspects of quantum entanglement in the framework of tensor norms. I will show how this point of view can bring new insights to this fundamental notion of quantum theory and how new entanglement criteria can be naturally obtained in this way.

The amount of work that can be extracted from a quantum system can be increased by exploiting the information obtained from a measurement performed on a correlated ancillary system. The concept of daemonic ergotropy has been introduced to properly describe and quantify this work extraction enhancement in the quantum regime. We explore the application of this idea in the context of continuously monitored open quantum systems, where information is gained by measuring the environment interacting with the energy-storing quantum device. We show that the corresponding daemonic ergotropy takes values between the ergotropy and the energy of the corresponding unconditional state. The upper bound is achieved by assuming an initial pure state and a perfectly efficient projective measurement on the environment, independently of the kind of measurement performed. On the other hand, if the measurement is inefficient or the initial state is mixed, the daemonic ergotropy is generally dependent on the measurement strategy. We will first theoretically investigate this scenario via a paradigmatic example of an open quantum battery: a two-level atom driven by a classical field and whose spontaneously emitted photons are continuously monitored via either homodyne, heterodyne, or photodetection. We will then present a work-of-principle experimental demonstration of daemonic work extraction by simulating a continuously monitored collision model on an IBM quantum computer.

In this lecture, we provide an introduction to quantum trajectory theory. We present various mathematical problems that arise within this context. In particular, we introduce approaches for analyzing the asymptotic behavior, convergence speed, and stabilization of quantum trajectories toward different states or subspaces through feedback control strategies. Our study includes both quantum non-demolition (QND) measurements and generic (non-QND) measurements in discrete-time and continuous-time settings.

One-dimensional atoms (1D atoms) refer to quantum emitters interacting with light fields confined in a single dimension of space. Owing to the huge number of degrees of freedom of the field, the dynamics of such devices is usually solved in the quantum open system paradigm where the atom (the field) is the system under study (the bath). Recently, so-called Autonomous Collisional Models (ACM) have provided Hamiltonian solutions to the dynamics of 1D atoms, where the atom and the field are two parts of a closed and isolated system. In addition to the interest of providing exact light-atom states, such models are autonomous: the global energy of the system is conserved, allowing for accurate energy balances.

In this talk, I will present a new framework dubbed Bipartite Quantum Energetics (BQE), which allows us to analyse energy exchanges within closed, isolated bipartite systems, and apply it to 1D atoms. In BQE, b-work (b-heat) refer to energy flows induced by effective unitaries (correlations) between systems. I will show that b-work and b-heat are experimentally accessible through -dyne or photon-counting experiments. Focusing on Optical Bloch Equations, I will compare the usual thermodynamic analyses conducted in the open system paradigm to the BQE framework. The two analyses differ by a self-work which yields a tighter expression of the second law, a tightening which I will quantitatively relate to the increased knowledge of the field state. I will finally present experimental results, where energy exchanges between semiconducting quantum dots and light fields have been fully characterized and the self-work was measured. ”

We propose and analyze a universal method to obtain fast charging of a quantum battery by a driven charger system using controlled, pure dephasing of the charger. While the battery displays coherent underdamped oscillations of energy for weak charger dephasing, the quantum Zeno freezing of the charger energy at high dephasing suppresses the rate of transfer of energy to the battery. Choosing an optimum dephasing rate between the regimes leads to a fast charging of the battery. We illustrate our results with the charger and battery modeled by either two-level systems or harmonic oscillators. Apart from the fast charging, the dephasing also renders the charging performance more robust to detuning between the charger, drive, and battery frequencies for the two-level systems case.