Fragile Topology: How Interactions Threaten the Toric Code
![The study demonstrates that increasing antiferromagnetic Heisenberg coupling [latex]J[/latex] within a toric code system causes the Kitaev-Preskill topological entanglement indicator [latex]\gamma_{KP}[/latex] to rise from its ideal value of [latex] -\ln 2[/latex], ultimately signaling a loss of topological order due to cat state mixing and finite size effects which introduce a Shannon-like contribution to the Rényi entropies-a phenomenon quantified by the formula [latex]\gamma_{KP} \equiv S(A)+S(B)+S(C)-S(AB)-S(BC)-S(CA)+S(ABC)[/latex].](https://arxiv.org/html/2603.05707v1/tee_all.png)
New research explores the resilience of topological order in the toric code when subjected to realistic magnetic interactions.
![The study demonstrates that increasing antiferromagnetic Heisenberg coupling [latex]J[/latex] within a toric code system causes the Kitaev-Preskill topological entanglement indicator [latex]\gamma_{KP}[/latex] to rise from its ideal value of [latex] -\ln 2[/latex], ultimately signaling a loss of topological order due to cat state mixing and finite size effects which introduce a Shannon-like contribution to the Rényi entropies-a phenomenon quantified by the formula [latex]\gamma_{KP} \equiv S(A)+S(B)+S(C)-S(AB)-S(BC)-S(CA)+S(ABC)[/latex].](https://arxiv.org/html/2603.05707v1/tee_all.png)
New research explores the resilience of topological order in the toric code when subjected to realistic magnetic interactions.
A new computational method combines machine learning with quantum mechanics to dramatically improve the accuracy of NMR crystallography, particularly for complex and disordered materials.
![The study details quantum electrodynamic corrections to joint parton luminosity functions-[latex]xL^{\rm QED}_{q\bar{q}}[/latex]-for each quark flavor, demonstrating alterations relative to the initial NNPDF calculations up to a mass scale of 1000 GeV, and highlighting the impact of these corrections on high-energy particle interactions.](https://arxiv.org/html/2603.06470v1/x6.png)
Researchers detail a novel method for handling initial-state radiation in high-energy physics simulations, significantly improving the precision of Monte Carlo predictions.

Researchers have developed a novel steganographic scheme, Alkaid, that offers provable security while remaining robust to the kinds of editing and transmission errors common in digital communication.
New research demonstrates how median lattice algorithms achieve near-optimal convergence rates for approximating periodic functions in high dimensions.
![A system subtly shifts audio’s latent representation via an optimized perturbation δ before quantization, inducing a constrained movement-defined by the vector [latex]v = \mu\_B - \mu\_A[/latex] between cluster centroids-designed to survive the destructive cycles of neural codec pipelines and be reliably detected by a verification process [latex]\mathcal{E}[/latex].](https://arxiv.org/html/2603.05310v1/2603.05310v1/x3.png)
Researchers have developed a new audio watermarking technique that embeds information within the core structure of compressed audio, making it remarkably resilient to manipulation by advanced neural audio codecs.
A new approach leverages multiple AI agents and advanced optimization techniques to carefully select the most trustworthy data for accurate sentiment analysis.
Researchers have developed a novel method for constructing Lorentz-covariant amplitudes, offering a streamlined path to understanding particle interactions and decay processes.
![For CMOS chains, reliability against bit-flip errors increases exponentially with bias voltage but sub-exponentially with chain length, creating a performance envelope where a fixed dissipation budget is best utilized by minimizing chain length and maximizing bias voltage - a relationship governed by the circuit’s characteristic timescale [latex]\tau\_{0}=\frac{e}{I\_{0}}e^{V\_{\rm th}/(nV\_{T})}[/latex].](https://arxiv.org/html/2603.04658v1/2603.04658v1/x3.png)
New research reveals the fundamental tradeoffs between energy dissipation and bit stability in CMOS-based stochastic computing systems.

Researchers have released a large-scale dataset designed to improve question answering systems for Bangla, addressing the critical need for resources in low-resource languages.