QM Research Seminar: Frontiers and Role of Quantum Mathematics in Quantum Physics and Quantum Software Development
Speaker: Kazuki Ikeda (Stony Brook University) Abstract: In this presentation, I will discuss the crucial role of quantum mathematics in understanding quantum many-body systems such as nuclear physics and condensed matter physics. I will also introduce the frontiers of quantum software development and system integration necessary to realize efficient quantum simulations. In particular, I will discuss quantum language development and the category theoretic construction of quantum compilers, and highlight the important and specific role that quantum mathematics plays in this field. Moreover I will introduce new interactions between algebraic geometry, quantum physics and quantum computation. This includes the novel construction of band theory on general Riemann surfaces, topological quantum computation, quantum error correction. Through my presentation, the audience will grasp the diverse applications and progress in Quantum Mathematics to solve various problems in modern QIST.
QM Research Seminar: Global Categorical Symmetries and the Generalized Landau Program
Speaker: Apoorv Tiwari (Niels Bohr International Academy, University of Copenhagen) Abstract: In this talk, I'll describe how finite symmetries of quantum systems are naturally encoded in fusion higher categories, presenting a universal and systematic construction of quantum systems with such higher categorical symmetries starting from quantum systems with conventional group-like symmetries. I'll discuss the Symmetry Topological Field Theory (SymTFT), a conceptual tool that facilitates the study of the generalized charges and gapped phases realized in quantum systems with categorical symmetries. Utilizing the SymTFT, I'll demonstrate a systematic construction of lattice models realizing categorical symmetry-protected gapped phases and phase transitions between them. Finally, I'll outline ongoing efforts toward realizing these novel phenomena in experimental cold-atom platforms.
QM Research Seminar: Abelianization of Virasoro conformal blocks at $c=1$
Speaker: Qianyu Hao (University of Geneva) Abstract: Conformal blocks are essential objects to study in the 2d CFTs. They depend on the data of a vertex algebra $\CV$, a punctured Riemann surface $C$, and possible decorations inserted at the punctures. The Virasoro conformal blocks are very interesting since they have many connections to other areas of math and physics. I will describe a new way to construct Virasoro conformal blocks at $c=1$. This is closely related to the idea of nonabelianization in the study of $SL(N,\mathbb{C})$ connections by using $GL(1,\mathbb{C})$ connection in the work of Gaiotto-Moore-Neitzke and Hollands-Neitzke. I will talk about our work on relating the $c=1$ Virasoro conformal blocks on $C$ to the "abelian" Heisenberg conformal blocks on a branched double cover of $C$. The main new idea in our work is the use of the spectral network on the surface $C$. The nonabelianization construction enables us to study the harder to get Virasoro conformal blocks using the simpler abelian objects. This is joint work in progress with Andrew Neitzke.
Quantum & Crémant: What are the fundamental building blocks of nature at the quantum level?
Speaker: Astrid Eichhorn Department of Physics, Chemistry and Pharmacy University of Southern Denmark Abstract: I will present a tentative answer to this question, consisting in a theory of quantum spacetime and matter, to which I will give a pedagogical introduction. I will argue that the main challenge for such a theory is the question of how to probe it experimentally, given that we expect its effects to manifest at tiny distances below the Planck length of 10^-35 m. I will challenge this expectation and show that not all effects are untestably small. Concretely, I will show how consequences of the microscopic physics leave their imprints on macroscopic scales in particle physics and black holes. Location: D-IAS Aud. (V24-501a-0), Danish Institute for Advanced Study - DIAS. The event is open to all.
Francesco Sannino: Living on the Edge – Black Holes as Quantum Gravity Lampposts
DIAS lecture by Professor Francesco Sannino, DIAS Chair of Physics, Head of the Quantum Field Theory Center, Founder of the Centre for Cosmology and Particle Physics Phenomenology (CP³-Origins) at SDU. The lecture takes place in the DIAS Seminar room and is open to all. About Francesco Sannino Francesco Sannino is the Head of the Quantum Field Theory Center, the Founder of the Centre for Cosmology and Particle Physics Phenomenology (CP³-Origins) at SDU. He is also one of the Founders of the Danish IAS and Professor of Theoretical Physics at the Federico II University in Italy. Professor Francesco Sannino is widely recognized for having pioneered the analytical and numerical investigations of the conformal structure of gauge theories of fundamental interactions, for the construction of minimal composite extensions of the standard model, and for the recent discovery of four-dimensional asymptotically safe theories. Recently he has also applied and developed mathematical tools stemming from theoretical physics to describe the evolution of infectious diseases at human and viral level. His work crosses several realms of particle physics and cosmology from bright and dark extensions of the standard model and inflationary cosmology to the mathematical underpinning of theories of fundamental interactions.
QM Research Seminar: Fusion categories as (quantum) symmetries: stability conditions and Morita duality
Speaker: Edmund Heng (Institut des Hautes Études Scientifiques) Abstract: Classically, finite symmetries are captured by the action of a finite group. Moving to the quantum world, one has to allow for (possibly non-invertible) quantum symmetries — these are instead captured by the action of a more general algebraic structure, known as a fusion category. Such quantum symmetries are actually ubiquitous in mathematics; for example, given a category with an action of a finite group G (e.g. rep(Q), Coh(X) etc.), its G-equivariant category has instead the action of the category of representations rep(G), where rep(G) has the structure of a fusion category (and is not just a group when G is non-abelian). The aim of this talk is to introduce fusion categories and discuss their role as “quantum symmetries” in relation to Bridgeland’s stability conditions. We first introduce a generalised notion replacing “G-invariant stability conditions” in the setting of a triangulated category equipped an action of a fusion category C, which we will “C-equivariant stability conditions”. The first result is that these stability conditions form a closed submanifold of the stability manifold, just as the G-invariant stability conditions do. Moreover, given a triangulated D with a G-action, so that its G-equivariant category D^G has a rep(G)-action, we will see the following (Morita) duality result for stability conditions: the complex manifold of G-invariant stability conditions (associated to D) is homeomorphic to the complex manifold of rep(G)-equivariant stability conditions (associated to D^G). If time allows, I will discuss other more “exotic” actions of fusion categories on triangulated categories, and possibly its relation to Coxeter theory. This is part of joint work with Hannah Dell and Anthony Licata.
IMADA Talks
Want to know what is going on behind the scenes at IMADA? Come and join us for 2 x 20 min. inspiring talks while you enjoy a free “casual after-work” beer with your fellow student, colleague or teacher. Speakers will be announced ASAP, but mark your calendar now!
Scientific Quantum Conference
Danish Quantum Community invites to participate in our annual Scientific Quantum Conference 2024 This year’s conference is hosted by Centre for Quantum Mathematics (QM) with support from the Novo Nordisk Foundation. Join us for a two-day deep dive into the Danish quantum research community - across universities and across disciplines. About the event: The conference will present recent results from Danish quantum research with a special focus on younger researchers at Danish universities. Serving as a meeting point for the research community, the conference aims to strengthen the Danish quantum ecosystem and promote industry-academia collaborations. Across two days, the conference will provide a deep dive into four key research tracks: quantum hardware, quantum software/algorithms, components for quantum systems, and early quantum applications in chemistry and finance. Participation is free of charges, but requires registration.
Quantum & Crémant: Exploring the mysteries of metalloenzymes in mushrooms with quantum chemistry
Speaker: Erik Donovan Hedegård Department of Physics, Chemistry and Pharmacy University of Southern Denmark Abstract: Transition metals in biological systems pose a formidable challenge in modern quantum chemistry. Unfortunately, these metals are close to everywhere in biological systems. For instance, about one-third of all enzymes contain a transition metal. The main issues when dealing with transition metals are (i) the metal typically demands so-called complete active space (CAS) methods with billions of electron configurations included. This quickly becomes computationally costly. (ii) Relativistic effects can be sizable. Addressing these effects also becomes computationally demanding. (iii) The relevant chemistry usually occurs in a surrounding solvent or within a protein environment that also needs to be taken into account, both in terms of the nuclear dynamics as well as the electronic interactions between the metal and the environment. In this talk, we demonstrate how challenges (i)–(iii) can be tackled efficiently and accurately. We discuss how this allows us to understand a part of the global carbon cycle, enzymes that can boost the production of biofuel, and new drugs against cancer. Location: D-IAS Aud. (V24-501a-0), Danish Institute for Advanced Study - DIAS. The event is open to all.
Quantum & Crémant: TBA
Speaker: Manuel Meyer Department of Physics, Chemistry and Pharmacy University of Southern Denmark Abstract: TBA Location: D-IAS Aud. (V24-501a-0), Danish Institute for Advanced Study - DIAS. The event is open to all.
IMADA Talks
Want to know what is going on behind the scenes at IMADA? Come and join us for 2 x 20 min. inspiring talks while you enjoy a free “casual after-work” beer with your fellow student, colleague or teacher. Speakers will be announced ASAP, but mark your calendar now!
EuroVis 2024: Where Words Fail, Visualization Speaks
Join the EuroVis 2024 Conference Where Words Fail, Visualization Speaks and explore the world of data visualization and collaborate with experts in this vibrant field. Don’t miss this opportunity to expand your knowledge and connections in the world of visualization! Read more: https://www.eurovis.org/eurovis/conference
End of academic year @IMADA – for all students and employees
We end the academic year at IMADA with strawberry cake, wine, water, beer, snacks and lots of summer mood 😃! Read more on Facebook.
MAPSP 2024 – workshop on Models and Algorithms for Planning and Scheduling Problems
Explore planning and scheduling solutions at MAPSP 2024 in Kolding, Denmark. Join us for insightful discussions on theoretical and practical aspects!