Mathematical Physics · Mathematics & Statistics
Mathematical Physics
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408 papers, from 31 August 2026 to 5 November 2026: 346 arXiv preprints and 62 OpenAlex records.
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Newest papers, page 11
Localized Generative Design of Ship Hulls with Diffusion Models and High-Fidelity Assessment
Practical ship design requires localized refinement and performance evaluation.Quantum-assisted rendezvous on hypercubes: a quantum Bernoulli noise approach
We study quantum-assisted balanced rendezvous on the $d$-dimensional hypercube in a one-step two-agent quantum-walk framework, where the two agents move the same Hamming distance and meet at a…Categorifying Quantum Spin Systems
We develop a homotopical framework for understanding the space of quantum spin systems based on topological $n$-nets, which assign associative unital algebras to local regions in an $n$-dimensional…Finiteness of planar central configurations of five bodies for all positive masses
We prove that for every choice of five positive masses the planar five-body problem has finitely many central configurations up to similarity.Mutually unbiased bases: common states, completion, and extension obstructions
Which pure states give uniform outcomes in several mutually unbiased measurements, and when can they form another measurement basis?Multipartite entanglement spreads
The entanglement structure of a bipartite pure state is characterized by its entanglement spectrum, or equivalently, by the family of Rényi-$k$ entanglement entropies with integer $k$.Quartic Certificates for Pure-State Tomography with Pauli Measurements
Full Pauli-basis tomography of an arbitrary $n$-qubit state uses the expectation values of all nonidentity Pauli observables.Coupling Independence Implies Zero-Freeness
For $Δ\ge2$ and $q\ge11Δ/6$, we prove that the antiferromagnetic $q$-state Potts partition function on finite simple graphs of maximum degree at most $Δ$ has no Fisher zeros in a graph-uniform…An elementary approach to the Szegő theorems
The strong Szegő theorem and the Fisher-Hartwig formula describe the asymptotic behavior of determinants obtained by restricting translationally invariant operators to large finite regions.Lieb-Robinson bounds for irreversible dynamics via adaptive Dyson expansion
In this note, we study a broad class of time-dependent and irreversible dynamics for quantum spin systems in both finite and infinite volume.Prelocality No-Go Theorems and Exactly Solvable Relational History Hamiltonians
Exact permutation covariance does not itself supply a sparse metric geometry.Comment on "Landau Levels and Riemann Zeros"
Sierra and Townsend (ST) [1] showed that the ``absorption spectrum'' model of Connes [2] arises as the lowest-Landau-level (LLL) limit of a charged particle in crossed electric and magnetic fields…Uniqueness for tv-regularized inverse problems with source in divergence form
Inverse source problems in divergence form consist in finding a vector field with prescribed support S, whose divergence is the Laplacian of some observed potential.Improved zero-free half-planes for the quasi-Riemann hypothesis
Recently, a uniform $\frac{7}{8}$ zero-free half-plane for finite-order Hecke $L$-functions over $\mathbb Q(\sqrt{-3})$ and its transfer to Dirichlet $L$-functions was given by OpenAI in [Ope26a].Homogenization of weakly reinforced Pólya urns on countable networks
We consider weakly reinforced Pólya urns on a countable graph of uniformly bounded degree.Reflexivity of Grothendieck Spaces and Strongly Normal Sequences
A normalized sequence $(y_n)$ in the dual $E^{*}$ of a Banach space $E$ is called normal if it is weak-star null, and strongly normal if [ G(y_n)=\left{x\in…The Geometry of Lee-Yang Tensors
We provide a geometric description of Lee-Yang tensors, building upon several recent results of Bravyi, Gosset, Liu, and Wong.The Differential Structure of Generators of KMS-Symmetric Quantum Markov Semigroups
A KMS-symmetric quantum Markov semigroup is completely determined by the quadratic form in induces on the GNS Hilbert space.Spacetime Quasicrystals and Computational Complexity Theory in the Road Towards Quantum Gravity
Part I: Semiclassical Gravity Efficiently Solves $\mathsf{NP}$-Complete Problems Assuming the gravitational field is classical and that it couples to quantum fields via the semiclassical Einstein…Color Coding for the Sherrington-Kirkpatrick Model
We give a polynomial-time algorithm for approximating the partition function of mean-field mixed $p$-spin models to arbitrarily high accuracy throughout the second-moment regime.