Papers
The toric code under antiferromagnetic isotropic Heisenberg interactions
Won Jang, Robert Peters, Thore Posske·Mar 5, 2026
We investigate the impact of an isotropic antiferromagnetic Heisenberg perturbation on the toric code, focusing on the resulting quantum phase transition and the nature of the phase that emerges beyond topological order. Using neural-network quantum ...
Hamiltonian Lattice QED$_3$ with One and Two Flavors of Wilson Fermions: Topological Structure and Response
Sriram Bharadwaj, Emil Rosanowski, Simran Singh +5 more·Mar 5, 2026
The quantum simulation of topological phases in (2+1)D quantum electrodynamics with Wilson fermions provides a promising route toward realizing topological phenomena in near-term lattice experiments. We show that the commonly used staggered-fermion d...
Universal quantum computation with group surface codes
Naren Manjunath, Vieri Mattei, Apoorv Tiwari +1 more·Mar 5, 2026
We introduce group surface codes, which are a natural generalization of the $\mathbb{Z}_2$ surface code, and equivalent to quantum double models of finite groups with specific boundary conditions. We show that group surface codes can be leveraged to ...
Generalized matching decoders for 2D topological translationally-invariant codes
Shi Jie Samuel Tan, Ian Gill, Eric Huang +6 more·Mar 5, 2026
Two-dimensional topological translationally-invariant (TTI) quantum codes, such as the toric code (TC) and bivariate bicycle (BB) codes, are promising candidates for fault-tolerant quantum computation. For such codes to be practically relevant, their...
Pulse-duration-sensitive high harmonics and attosecond locally-chiral light from a chiral topological Weyl semimetal
Alba de las Heras, Ofer Neufeld, Angel Rubio·Mar 5, 2026
High harmonic generation (HHG) in solids results from an interplay between intraband acceleration and electron-hole recombination driven by a high-intensity laser pulse. Here, we theoretically reveal that the driving pulse duration can play a major r...
Dynamical quantum phase transitions through the lens of mode dynamics
Akash Mitra, Shashi C. L. Srivastava·Mar 5, 2026
We study the mode dynamics of a generic quadratic fermionic Hamiltonian under a sudden quench protocol in momentum space. Modes with zero energy at any given time, $t$, are referred to as dynamical critical modes. Among all zero-energy modes, spin-fl...
Simulating Lattice Gauge Theories with Virtual Rishons
David Rogerson, João Barata, Robert M. Konik +2 more·Mar 5, 2026
Classical tensor network and hybrid quantum-classical algorithms are promising candidates for the investigation of real-time properties of lattice gauge theories. We develop here a novel framework which enforces gauge symmetry via a quantum-link virt...
Quantum Cramér-Rao bound on quantum metric as a multi-observable uncertainty relation
Wei Chen·Mar 4, 2026
A version of quantum Cramér-Rao bound dictates that the covariance of any set of operators is bounded by a product of the derivatives of expectation values and the inverse of quantum metric. We elaborate that because quantum metric itself is the cova...
Realizing anomalous Floquet non-Abelian band topology in photonic scattering networks
Yuze Hu, Mingyu Tong, Tian Jiang +10 more·Mar 4, 2026
The concept of multi-gap topology has recently been shown to give rise to uncharted phases beyond conventional single-gap classifications. These phases relate to band nodes with non-Abelian quaternion charges and momentum-space braiding processes cha...
Minimum Weight Decoding in the Colour Code is NP-hard
Mark Walters, Mark L. Turner·Mar 4, 2026
All utility-scale quantum computers will require some form of Quantum Error Correction in which logical qubits are encoded in a larger number of physical qubits. One promising encoding is known as the colour code which has broad applicability across ...
Entanglement between quantum dots transmitted via Majorana wire: Insights from the fermionic negativity, concurrence and quantum mutual information
C. Jasiukiewicz, A. Sinner, I. Weymann +2 more·Mar 4, 2026
We study quantum entanglement in a system comprising two quantum dots interconnected through the short topological superconducting nanowire, which hosts overlapping boundary Majorana modes. Inspecting the fermionic negativity, we analyze the variatio...
Fractional topology in open systems
Xi Wu, Xiang Zhang, Fuxiang Li·Mar 4, 2026
We investigate the emergence of fractional topological invariants in a periodic Su-Schrieffer- Heeger chain subject to gain and loss, governed by the Gorini-Kossakowski-Sudarshan-Lindblad master equations. After preparing the symmetry condition for i...
Resource-Efficient Emulation of Majorana Zero Mode Braiding on a Superconducting Trijunction
Rahul Singh, Weixin Lu, Kaelyn J Ferris +1 more·Mar 4, 2026
Topological superconductivity could host quasiparticles that are key candidates for fault-tolerant quantum computation due to their immunity to noise as they obey non-Abelian exchange statistics. For example, in the case of Majorana Zero Modes (MZM),...
Mixed-state Phases from Higher-order SSPTs with Kramers-Wannier Symmetry
Aswin Parayil Mana, Zijian Song, Fei Yan +1 more·Mar 3, 2026
Mixed-state phases have recently attracted significant attention as a generalization beyond their pure-state counterparts. Prominent examples include mixed-state symmetry-protected topological (mSPT) phases and the strong-to-weak symmetry breaking (S...
Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory
Enrico C. Domanti, Alejandro Bermudez·Mar 2, 2026
With the advent of quantum simulators, exploring exotic collective phenomena in lattice models with local symmetries and unconventional geometries is at reach of near-term experiments. Motivated by recent progress in this direction, we study a $\math...
Theory of the Uhlmann Phase in Quasi-Hermitian Quantum Systems
Xu-Yang Hou, Xin Wang, Hao Guo·Mar 2, 2026
Geometric phases play a fundamental role in understanding quantum topology, yet extending the Uhlmann phase to non-Hermitian systems poses significant challenges due to parameter-dependent inner product structures. In this work, we develop a comprehe...
Theory of anomalous Landau-Zener tunneling induced by nonlinear coupling
Wen-Yuan Wang, Hong-Juan Meng·Mar 2, 2026
We develop a general theory of Landau-Zener (LZ) tunneling in a two-level system with amplitude-dependent, sign-reversible nonlinear coupling, distinguishing it fundamentally from conventional on-site nonlinearity. Through a combination of analytical...
Spin stiffness and resilience phase transition in a noisy toric-rotor code
Morteza Zarei, Mohammad Hossein Zarei·Feb 27, 2026
We use a quantum formalism for the partition function of the classical $XY$ model to identify a resilience phase transition in a noisy toric-rotor code. Specifically, we consider the toric-rotor code under phase-shift noise described by a von Mises p...
Stabilizer Rényi entropy of 3-uniform hypergraph states
Daichi Kagamihara, Shunji Tsuchiya·Feb 27, 2026
Nonstabilizerness, also known as magic, plays a central role in universal quantum computation. Hypergraph states are nonstabilizer generalizations of graph states and constitute a key class of quantum states in various areas of quantum physics, such ...
A matching decoder for bivariate bicycle codes
Kaavya Sahay, Dominic J. Williamson, Benjamin J. Brown·Feb 26, 2026
The discovery of new quantum error-correcting codes that encode several logical qubits into relatively few physical qubits motivates the development of efficient and accurate methods of decoding these systems. Here, we adopt the minimum-weight perfec...