Konwersatorium im. J.Pniewskiego i L.Infelda
sala 0.06, ul. Pasteura 5
2025-03-31 (11:00) 
prof. Michael Knap (Technische Universität München)
Exploring quantum phases of matter on quantum processors
Matter occurs in different phases. For example, liquid water turns into solid ice when cooled down below the freezing temperature. In quantum many-body systems, many additional exotic phases can arise, which are characterized by their quantum entanglement. Among them, are topological quantum phases which form the backbone of various quantum error correction codes and can be understood in terms of gauge theories.
In this colloquium, we will discuss how the toric code, a paradigmatic state for topological order, can be explored on a quantum computer [1]. Furthermore, we will investigate the dynamics of the excitations of a deformed toric code state and discuss how they are related to fundamental excitations and strings in a corresponding lattice gauge theory [2]. We will also briefly touch upon how the quantum algorithms can be interpreted as isometric Tensor Network States (isoTNS), which are a convenient representation of many-body wave functions, to investigate exotic quantum phase transitions on quantum processors [3]. Our results demonstrate the potential for quantum processors to explore strongly-correlated quantum phases of matter.
[1] K. Satzinger et al. Science 374, 1237 (2021)
[2] T. A. Cochran, B. Jobst, E. Rosenberg, et al. arXiv:2409.17142.
[3] J. Boesl, Y.J. Liu, W.T. Xu, F. Pollmann, M. Knap, arXiv:2501.18688
Pobierz plakat / Download the poster
In this colloquium, we will discuss how the toric code, a paradigmatic state for topological order, can be explored on a quantum computer [1]. Furthermore, we will investigate the dynamics of the excitations of a deformed toric code state and discuss how they are related to fundamental excitations and strings in a corresponding lattice gauge theory [2]. We will also briefly touch upon how the quantum algorithms can be interpreted as isometric Tensor Network States (isoTNS), which are a convenient representation of many-body wave functions, to investigate exotic quantum phase transitions on quantum processors [3]. Our results demonstrate the potential for quantum processors to explore strongly-correlated quantum phases of matter.
[1] K. Satzinger et al. Science 374, 1237 (2021)
[2] T. A. Cochran, B. Jobst, E. Rosenberg, et al. arXiv:2409.17142.
[3] J. Boesl, Y.J. Liu, W.T. Xu, F. Pollmann, M. Knap, arXiv:2501.18688
Pobierz plakat / Download the poster