Papers
Skyrmion Quantum Diode Prototype: Bridging Micromagnetic Simulations and Quantum Models
Haowen Yang, Gerald Bissell, Han Zhong +4 more·Jan 16, 2026
Magnetic skyrmions are topologically protected spin textures known for their robustness against perturbations. Their topological stability makes them robust information carriers, ideal for tackling a key challenge in quantum computing: creating relia...
Critical non-equilibrium phases from noisy topological memories
Amir-Reza Negari, Subhayan Sahu, Jan Behrends +2 more·Jan 15, 2026
We demonstrate the existence of an extended non-equilibrium critical phase, characterized by sub-exponential decay of conditional mutual information (CMI), in the surface code subject to heralded random Pauli measurement channels. By mapping the resu...
Localization Landscape in Non-Hermitian and Floquet quantum systems
David Guéry-Odelin, François Impens·Jan 15, 2026
We propose a generalization of the Filoche--Mayboroda localization landscape that extends the theory well beyond the static, elliptic and Hermitian settings while preserving its geometric interpretability. Using the positive operator $H^\dagger H$, w...
Reentrant topological phases and entanglement scalings in moiré-modulated extended Su-Schrieffer-Heeger Model
Guo-Qing Zhang, L. F. Quezada, Shi-Hai Dong·Jan 15, 2026
Recent studies of moiré physics have unveiled a wealth of opportunities for significantly advancing the field of quantum phase transitions. However, properties of reentrant phase transitions driven by moiré strength are poorly understood. Here, we in...
A note on invariants of mixed-state topological order in 2D
Yoshiko Ogata·Jan 14, 2026
The classification of mixed-state topological order requires indices that behave monotonically under finite-depth quantum channels. In two dimensions, a braided $C^*$-tensor category, which corresponds to strong symmetry, arises from a state satisfyi...
Fragmented Topological Excitations in Generalized Hypergraph Product Codes
Meng-Yuan Li, Yue Wu·Jan 14, 2026
Product code construction is a powerful tool for constructing quantum stabilizer codes, which serve as a promising paradigm for realizing fault-tolerant quantum computation. Furthermore, the natural mapping between stabilizer codes and the ground sta...
Is it possible to determine unambiguously the Berry phase solely from quantum oscillations?
Bogdan M. Fominykh, Valentin Yu. Irkhin, Vyacheslav V. Marchenkov·Jan 14, 2026
The Berry phase, a fundamental geometric phase in quantum systems, has become a crucial tool for probing the topological properties of materials. Quantum oscillations, such as Shubnikov-de Haas (SdH) oscillations, are widely used to extract this phas...
Geometry- and Topology-Informed Quantum Computing: From States to Real-Time Control with FPGA Prototypes
Gunhee Cho·Jan 14, 2026
This book gives a geometry-first, hardware-aware route through quantum-information workflows, with one goal: connect states, circuits, and measurement to deterministic classical pipelines that make hybrid quantum systems run. Part 1 develops the back...
Non-invertible circuit complexity from fusion operations
Saskia Demulder·Jan 14, 2026
Modern understanding of symmetry in quantum field theory includes both invertible and non-invertible operations. Motivated by this, we extend Nielsen's geometric approach to quantum circuit complexity to incorporate non-invertible gates. These arise ...
Observation of Unidirectional s-p Orbital Topological Edge States in Driven Photonic Lattices
Gayathry Rajeevan, Sebabrata Mukherjee·Jan 13, 2026
Time-periodic modulation of a static system is a powerful method for realizing robust unidirectional topological states. So far, all such realizations have been based on interactions among $s$ orbitals, without incorporating inter-orbital couplings. ...
Generalized cluster states in 2+1d: non-invertible symmetries, interfaces, and parameterized families
Kansei Inamura, Shuhei Ohyama·Jan 13, 2026
We construct 2+1-dimensional lattice models of symmetry-protected topological (SPT) phases with non-invertible symmetries and investigate their properties using tensor networks. These models, which we refer to as generalized cluster models, are const...
Anisotropic anomalous Hall effect in distorted kagome GdTi3Bi4
Avdhesh K. Sharma, Bo Tai, Subhajit Roychowdhury +5 more·Jan 12, 2026
Topological kagome magnets offer a rich landscape for exploring the intricate interplay of quantum interactions among geometry, topology, spin, and correlation. GdTi3Bi4 crystallizes in layered Ti based kagome nets intertwined with zigzag Gd chains a...
Impact of Boundary Conditions on the Double-Kicked Quantum Rotor
Victoria Motsch, Nikolai Bolik, Sandro Wimberger·Jan 12, 2026
We study the on-resonance Spin-1/2 Double Kicked Rotor, a periodically driven quantum system that hosts topological phases. Motivated by experimental constraints, we analyze the effects of open and periodic boundary conditions in contrast to the idea...
Obstructions to Unitary Hamiltonians in Non-Unitary String-Net Models
Hanshi Yang·Jan 11, 2026
The Levin-Wen string-net formalism provides a canonical mapping from spherical fusion categories to local Hamiltonians defining Topological Quantum Field Theories (TQFTs). While the topological invariance of the ground state is guaranteed by the pent...
Non-Abelian qLDPC: TQFT Formalism, Addressable Gauging Measurement and Application to Magic State Fountain on 2D Product Codes
Guanyu Zhu, Ryohei Kobayashi, Po-Shen Hsin·Jan 11, 2026
A fundamental problem of fault-tolerant quantum computation with quantum low-density parity-check (qLDPC) codes is the tradeoff between connectivity and universality. It is widely believed that in order to perform native logical non-Clifford gates, o...
Chip-integrated metasurface-enabled single-photon skyrmion sources
Xujing Liu, Yinhui Kan, Shailesh Kumar +4 more·Jan 10, 2026
Skyrmions, topologically stable field configurations, have recently emerged in classical optics as structured light for high-density data applications. Achieving controllable on-chip generation of single-photon skyrmions, while being highly desirable...
Slow mixing and emergent one-form symmetries in three-dimensional $\mathbb{Z}_2$ gauge theory
Charles Stahl, Benedikt Placke, Vedika Khemani +1 more·Jan 9, 2026
Symmetry-breaking order at low temperatures is often accompanied by slow relaxation dynamics, due to diverging free-energy barriers arising from interfaces between different ordered states. Here, we extend this correspondence to classical topological...
When and why non-Hermitian eigenvalues miss eigenstates in topological physics
Lucien Jezequel, Loïc Herviou, Jens Bardarson·Jan 8, 2026
Non-Hermitian systems exhibit a fundamental spectral dichotomy absent in Hermitian physics: the eigenvalue spectrum and the eigenstate spectrum can deviate significantly in the thermodynamic limit. We explain how non-Hermitian Hamiltonians can suppor...
Chiral Graviton Modes in Fermionic Fractional Chern Insulators
Min Long, Zeno Bacciconi, Hongyu Lu +3 more·Jan 8, 2026
Chiral graviton modes are hallmark collective excitations of Fractional Quantum Hall (FQH) liquids. However, their existence on the lattice, where continuum symmetries that protect them from decay are lost, is still an open and urgent question, espec...
Entanglement negativity for a free scalar chiral current
Malen Arias, Marina Huerta, Andrei Rotaru +1 more·Jan 8, 2026
We study the entanglement negativity for the free, scalar chiral current in two spacetime dimensions, which is a simple model violating the Haag duality in regions with nontrivial topology. For the ground state of the system, both on the line and on ...