Papers
Zak phase and bulk-boundary correspondence in a generalized Dirac-Kronig-Penney model
Giuliano Angelone, Domenico Monaco, Gabriele Peluso·Feb 3, 2026
We investigate the topological properties of a generalized Dirac--Kronig--Penney model, a continuum one-dimensional model for a relativistic quantum chain. By tuning the coupling parameters this model can accommodate five Altland--Zirnbauer--Cartan s...
Steady-state skin effect in bosonic topological edge states under parametric driving
Nobuyuki Okuma·Feb 2, 2026
Non-Hermitian systems have attracted significant theoretical interest due to their extreme properties. However, realizations have mostly been limited to classical applications or artificial setups. In this study, we focus on the quantum nature inhere...
Black Hole Interior and Quantum Error Correction with Dynamical Gravity
Akihiro Miyata, Tomonori Ugajin·Feb 1, 2026
According to the island formula, information in the code subspace defined in the black hole interior is embedded in the Hawking radiation after the Page time. At first sight, this embedding suggests that operations acting on the Hawking radiation cou...
Quantum Geometry and Nonlinear Responses in Magnetic and Topological Quantum Materials
M. Mehraeen·Jan 31, 2026
This dissertation explores various nonlinear responses that arise from the rich interplay between quantum geometry, disorder, magnetism and topology in quantum materials. In addition to presenting generalizations of quantum kinetic theory, Kubo formu...
Topological Defects from Quantum Reset Dynamics
R. Jafari, Henrik Johannesson, Sebastian Eggert·Jan 30, 2026
We analyze mechanisms for universal out-of-equilibrium dynamics near criticality by exploring the effect of randomized quantum resetting (QR) under a finite-time quench across a quantum phase transition. Using the transverse-field Ising chain as a ge...
Analytical topological invariants for 2D non-Hermitian phases using Morse theory
Cameron Gibson, Evelyn Tang·Jan 30, 2026
As energy dissipation and gain are ubiquitous in the real world, such phenomena demand the generalization of Hermitian methods such as the analysis of topological properties for non-Hermitian systems. However, as non-Hermitian systems typically conta...
TopoLS: Lattice Surgery Compilation via Topological Program Transformations
Junyu Zhou, Yuhao Liu, Ethan Decker +5 more·Jan 30, 2026
Lattice surgery is a leading approach for implementing fault-tolerant logical operations in surface code quantum computing, but compiling efficient lattice surgery layouts remains challenging. Existing compilers are largely circuit-centric and operat...
Quantum bootstrap product codes
Meng-Yuan Li·Jan 29, 2026
Product constructions constitute a powerful method for generating quantum CSS codes, yielding celebrated examples such as toric codes and asymptotically good low-density parity check (LDPC) codes. Since a CSS code is fully described by a chain comple...
Andreev spin qubits based on the helical edge states of magnetically doped two-dimensional topological insulators
Edoardo Latini, Fausto Rossi, Fabrizio Dolcini·Jan 29, 2026
We show that Andreev spin qubits can be realized in a Josephson junction based on the helical edge states of a two-dimensional topological insulator (quantum spin Hall system) proximized by superconducting films, in the presence of magnetic doping. W...
Defect Relative Entropy
Mostafa Ghasemi·Jan 29, 2026
We introduce the concept of \textit{defect relative entropy} as a measure of distinguishability within the space of defects. We compute the defect relative entropy for conformal/topological defects, deriving a universal formula in conformal field the...
A Bravyi-König theorem for Floquet codes generated by locally conjugate instantaneous stabiliser groups
Jelena Mackeprang, Jonas Helsen·Jan 29, 2026
The Bravyi-König (BK) theorem is an important no-go theorem for the dynamics of topological stabiliser quantum error correcting codes. It states that any logical operation on a $D$-dimensional topological stabiliser code that can be implemented by a ...
Non-invertible translation from Lieb-Schultz-Mattis anomaly
Tsubasa Oishi, Takuma Saito, Hiromi Ebisu·Jan 29, 2026
Symmetry provides powerful non-perturbative constraints in quantum many-body systems. A prominent example is the Lieb-Schultz-Mattis (LSM) anomaly -- a mixed 't Hooft anomaly between internal and translational symmetries that forbids a trivial symmet...
Quantum Simulation with Fluxonium Qutrit Arrays
Ivan Amelio, Quentin Ficheux, Nathan Goldman·Jan 29, 2026
Fluxonium superconducting circuits were originally proposed to realize highly coherent qubits. In this work, we explore how these circuits can be used to implement and harness qutrits, by tuning their energy levels and matrix elements via an external...
Real-space topological characterization of quasiperiodic quantum walks: Boundary-dependent phases and the Schur index
F. Iwase·Jan 29, 2026
We study the topological properties of one-dimensional discrete-time quantum walks with Fibonacci quasiperiodic modulation. Spectral analysis under open boundary conditions reveals isolated edge modes that coexist at both zero and $π$ energies within...
Universal Topological Gates from Braiding and Fusing Anyons on Quantum Hardware
Chiu Fan Bowen Lo, Anasuya Lyons, Dan Gresh +8 more·Jan 28, 2026
Topological quantum computation encodes quantum information in the internal fusion space of non-Abelian anyonic quasiparticles, whose braiding implements logical gates. This goes beyond Abelian topological order (TO) such as the toric code, as its an...
Topological Acoustic Diode
Ashwat Jain, Wojciech J. Jankowski, M. Mehraeen +1 more·Jan 28, 2026
We show that certain three-dimensional topological phases can act as acoustic diodes realizing nonlinear odd acoustoelastic effects. Beyond uncovering topologically-induced anomalous acoustic second-harmonic generation and rectification, we demonstra...
A Unified Symmetry Classification of Many-Body Localized Phases
Yucheng Wang·Jan 28, 2026
Anderson localization admits a complete symmetry classification given by the Altland-Zirnbauer (AZ) tenfold scheme, whereas an analogous framework for interacting many-body localization (MBL) has remained elusive. Here we develop a symmetry-based cla...
Engineering the non-Hermitian SSH model with skin effects in Rydberg atom arrays
J. N. Bai, F. Yang, D. Yan +2 more·Jan 27, 2026
We propose and systematically analyze a practical scheme for implementing a one-dimensional non-Hermitian Su-Schrieffer-Heeger model using individually addressable Rydberg atom arrays. Our setup consists of an atomic chain with three-atom unit cells,...
Resolving Gauge Ambiguities of the Berry Connection in Non-Hermitian Systems
Ievgen I. Arkhipov·Jan 27, 2026
Non-Hermitian systems exhibit spectral and topological phenomena absent in Hermitian physics; however, their geometric characterization is hindered by an intrinsic ambiguity rooted in the eigenspace of non-Hermitian Hamiltonians, which becomes especi...
Spectral Codes: A Geometric Formalism for Quantum Error Correction
Satoshi Kanno, Yoshi-aki Shimada·Jan 27, 2026
We present a new geometric perspective on quantum error correction based on spectral triples in noncommutative geometry. In this approach, quantum error correcting codes are reformulated as low energy spectral projections of Dirac type operators that...