Quantum Singular Value Transformation – A Unifying framework of quantum algorithms

Speaker: András Gilyén (Alfréd Rényi Institute of Mathematics) Abstract An n-qubit quantum circuit performs a unitary operation on an exponentially large, 2^n-dimensional, Hilbert space, which is a major source of quantum speed-ups. We show how Quantum Singular Value Transformation can directly harness the advantages of exponential dimensionality by applying polynomial transformations to the singular values […]

Speaker: Alexander Frei (University of Copenhagen) Abstract We begin by recalling quantum strategies in the context of nonlocal games, and their description in terms of the state space on the full group algebra of certain free groups. With this description at hand, we then examine the quantum value and quantum strategies for the following prominent […]

Speaker: Andrzej Sitarz Abstract I'll review the concept of expressing the two basic notions of Riemannian geometry using spectral methods and Wodzicki residue over the algebra of pseudodifferential operators. This approach admits generalizations to the framework of noncommutative geometry. Based on joint work with L.Dabrowski and P.Zalecki.

Speaker: Ryszard Kukulski (IITiS PAN, Gliwice) Abstract Probabilistic quantum error correction (pQEC) is an error-correcting procedure which uses postselection to determine if the encoded information was successfully restored. In this talk, I will show an application of pQEC for various types of noise channels, e.g. Schur channels, channels with bounded Choi rank and random channels. […]

Speaker: Diego García-Martín (TII, Abu Dhabi, UAE) Abstract The Algebraic Bethe Ansatz (ABA) is a highly successful analytical method used to exactly solve several physical models in both statistical mechanics and condensed-matter physics. Here we bring the ABA to unitary form, for its direct implementation on a quantum computer. This is achieved by distilling the […]

Speaker: Felix Huber (Jagiellonian University) Abstract Jensen–Shannon divergence is an important distinguishability measure between probability distributions that finds interesting applications within the context of Information Theory. In particular, this classical divergence belongs to a remarkable class of divergences known as Csiszár or f -divergences. In this talk I analyze the problem of obtaining a distance […]

Speaker: Michał Gańczorz (Google) Abstract In recent years, the amount of data shared over the internet has increased exponentially. The data formats changed as well. We watch videos and listen to podcasts instead of reading articles. We share images instead of writing messages. But in the end, do we really get more information than before? […]

Speaker: Pedro Lamberti ( Jagiellonian University/ University of Cordoba, Argentina ) Abstract Jensen–Shannon divergence is an important distinguishability measure between probability distributions that finds interesting applications within the context of Information Theory. In particular, this classical divergence belongs to a remarkable class of divergences known as Csiszár or f -divergences. In this talk I analyze […]

Speaker: Naceur Gaaloul Abstract Atom interferometry for extended drift times promise a major leap in improving precision and accuracy of matter-wave sensors. When taking advantage of the unique space environment for example, fundamental tests challenging the state-of-the-art can be performed using quantum gases systems. The use of cold atoms as a source for such sensors […]

Speaker: Karol Życzkowski (CFT, PAS and Jagiellonian University) Abstract Classical combinatorial designs are composed of elements of a finite set and arranged with a certain symmetry and balance. A simple example of a combinatorial design is given by a single Latin square: square array of size d filled with d copies of d different symbols, […]