Papers
Pauli stabilizer formalism for topological quantum field theories and generalized statistics
Yitao Feng, Hanyu Xue, Ryohei Kobayashi +2 more·Dec 31, 2025
Topological quantum field theory (TQFT) provides a unifying framework for describing topological phases of matter and for constructing quantum error-correcting codes, playing a central role across high-energy physics, condensed matter, and quantum in...
Parity order as a fundamental driver of bosonic topology
Ashirbad Padhan, Harsh Nigam·Dec 31, 2025
Symmetry-protected topological (SPT) phases in interacting bosonic systems have been widely explored, yet most realizations rely on fine-tuned interactions or enlarged symmetries. Here we show that a qualitatively simpler mechanism--parity order coup...
Measuring Mixed-State Topological Invariant in Open Photonic Quantum Walk
Qin-Qin Wang, Xiao-Ye Xu, Yong-Jian Han +2 more·Dec 31, 2025
Pure-state manifestations of geometric phase are well established and have found applications across essentially all branches of physics, yet their generalization to mixed-state regimes remains largely unexplored experimentally. The Uhlmann geometric...
Unsupervised Topological Phase Discovery in Periodically Driven Systems via Floquet-Bloch State
Chen-Yang Wang, Jing-Ping Xu, Ce Wang +1 more·Dec 31, 2025
Floquet engineering offers an unparalleled platform for realizing novel non-equilibrium topological phases. However, the unique structure of Floquet systems, which includes multiple quasienergy gaps, poses a significant challenge to classification us...
Fragile Topological Phases and Topological Order of 2D Crystalline Chern Insulators
Hisham Sati, Urs Schreiber·Dec 31, 2025
We apply methods of equivariant homotopy theory, which may not previously have found due attention in condensed matter physics, to classify first the fragile/unstable topological phases of 2D crystalline Chern insulator materials, and second the poss...
Les Houches Lecture Notes on Tensor Networks
Bram Vancraeynest-De Cuiper, Weronika Wiesiolek, Frank Verstraete·Dec 30, 2025
Tensor networks provide a powerful new framework for classifying and simulating correlated and topological phases of quantum matter. Their central premise is that strongly correlated matter can only be understood by studying the underlying entangleme...
Entropic order parameters and topological holography
Hua-Chen Zhang, Germán Sierra, Javier Molina-Vilaplana·Dec 30, 2025
We show that the symmetry topological field theory (SymTFT) construction, also known as the topological holography, provides a natural and intuitive framework for the entropic order parameter characterising phases with (partially) broken symmetries. ...
Entanglement dynamics driven by topology and non-Hermiticity
Li-Wei Wang, Bolun Hu, Haixiao Zhang +3 more·Dec 30, 2025
The interplay between topology and non-Hermiticity gives rise to exotic dynamic phenomena that challenge conventional wave-packet propagation and entanglement dynamics. While recent studies have established the non-Hermitian skin effect (NHSE) as a k...
Exploring Spectral Singularities and Topological Lasers in PT-Symmetric Weyl Semimetals
Arda Sevinc, Rama Alassadi, Mustafa Sarisaman·Dec 30, 2025
This paper investigates the unique properties of PT-symmetric Topological Weyl Semimetals (TWS) within the framework of non-Hermitian physics, focusing on their potential for generating topological lasers. By exploring the role of spectral singularit...
Non-Hermitian higher-order topological insulators enabled by altermagnet engineering
Xiang Ji, Dengfeng Wang, Tong Zhou +1 more·Dec 30, 2025
We show that proximity to an altermagnet provides an efficient route to engineering non-Hermitian higher-order topological phases. The proximity-induced altermagnetic order gaps the edge states of a topological insulator, thereby driving a transition...
Quantum Geometric Bounds in Non-Hermitian Systems
Milosz Matraszek, Wojciech J. Jankowski, Jan Behrends·Dec 29, 2025
We identify quantum geometric bounds for observables in non-Hermitian systems. We find unique bounds on non-Hermitian quantum geometric tensors, generalized two-point response correlators, conductivity tensors, and optical weights. We showcase these ...
Non-Invertible Interfaces Between Symmetry-Enriched Critical Phases
Saranesh Prembabu, Shu-Heng Shao, Ruben Verresen·Dec 29, 2025
Gapless quantum phases can become distinct when internal symmetries are enforced, in analogy with gapped symmetry-protected topological (SPT) phases. However, this distinction does not always lead to protected edge modes, raising the question of how ...
Accelerated Topological Pumping in Photonic Waveguides Based on Global Adiabatic Criteria
Kai-Heng Xiao, Shi-Lei Su, Xiang Ni +8 more·Dec 29, 2025
Adiabatic topological pumping enables robust transport of energy and information, yet its operational speed is fundamentally constrained by the instantaneous adiabatic condition, which necessitates prohibitively slow parameter variations. Here, we pr...
Novel qubits in hybrid semiconductor-superconductor nanostructures
Marta Pita-Vidal, Rubén Seoane Souto, Srijit Goswami +4 more·Dec 29, 2025
Hybrid semiconductor-superconductor qubits have recently emerged as a promising alternative to traditional platforms, combining material advantages with device-level tunability. A defining feature is their gate-tunable Josephson coupling, enabling su...
Quantum Metrology via Adiabatic Control of Topological Edge States
Xingjian He, Aoqian Shi, Jianjun Liu +1 more·Dec 29, 2025
Criticality-based quantum sensing exploits hypersensitive response to system parameters near phase transition points. This work uncovers two metrological advantages offered by topological phase transitions when the probe is prepared as topological ed...
Error Resilience of Fracton Codes and Near Saturation of Code-Capacity Threshold in Three Dimensions
Giovanni Canossa, Lode Pollet, Miguel A. Martin-Delgado +2 more·Dec 28, 2025
Fracton codes have been intensively studied as novel topological states of matter, yet their fault-tolerant properties remain largely unexplored. Here, we investigate the optimal thresholds of self-dual fracton codes, in particular the checkerboard c...
Information Critical Phases under Decoherence
Akash Vijay, Jong Yeon Lee·Dec 26, 2025
Quantum critical phases are extended regions of phase space characterized by a diverging correlation length. By analogy, we define an information critical phase as an extended region of a mixed state phase diagram where the Markov length, the charact...
Charge-Informed Quantum Error Correction
Vlad Temkin, Zack Weinstein, Ruihua Fan +2 more·Dec 26, 2025
We investigate the statistical physics of quantum error correction in ${\rm U}(1)$ symmetry-enriched topological quantum memories. Starting from a phenomenological error model of charge-conserving noise, we study the optimal decoder assuming the loca...
A Cohomological Framework for Topological Phases from Momentum-Space Crystallographic Groups
T. R. Liu, Zheng Zhang, Y. X. Zhao·Dec 26, 2025
Crystallographic groups are conventionally studied in real space to characterize crystal symmetries. Recent work has recognized that when these symmetries are realized projectively, momentum space inherently accommodates nonsymmorphic symmetries, the...
The Loring--Schulz-Baldes Spectral Localizer Revisited
Gregory Berkolaiko, Jacob Shapiro, Beyer Chase White·Dec 26, 2025
The spectral localizer, introduced by Loring in 2015 and Loring and Schulz-Baldes in 2017, is a method to compute the (infinite volume) topological invariant of a quantum Hamiltonian on $\ZZ^d$, as the signature of the (finite) localizer matrix. We p...