Mathematical Physics · Mathematics & Statistics
Mathematical Physics
The newest papers in Mathematical Physics that ReadSearch has read, newest first. Each links to its own page, with its authors, date, where it was published and the original.
408 papers, from 31 August 2026 to 5 November 2026: 346 arXiv preprints and 62 OpenAlex records.
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Newest papers, page 18
Disentangling the Toric Code
Commuting-projector Hamiltonians with integer spectrum such as the 1+1d Ising ferromagnet and the 2+1d toric code may be regarded as the generators of non-on-site $U(1)$ symmetries.Optimal noisy sequential multiparameter quantum sensing
The most general strategy for estimating parameters of a quantum channel is to probe the channel many times sequentially with the help of coherent ancillary systems.Planar Contact Structures with Calabi-Yau Fillings and Topological Quantum Computation
We study planar openbooks obtained by lifting braids through branched covers of D^2, together with the quantum operations in the Ising representation.Potential Hessian Ascent IV: Sampling the Sherrington-Kirkpatrick model at $β< 1$
We give a polynomial-time algorithm to sample from the Gibbs measure of the Sherrington-Kirkpatrick (SK) model with $o_n(1)$ error in total-variation distance (TVD) at any inverse-temperature $β< 1$.Emergent Prethermal Symmetries for Scalable Hamiltonian Learning
Learning an interacting many-body Hamiltonian at the Heisenberg limit generally requires control that preserves local information for evolution times of order $1/\varepsilon$ to attain $\varepsilon$…Optimal low-rank compression of quantum dynamics
Local quantum interactions generate dynamics in an exponentially large Hilbert space, yet locality and entanglement restrict the information that can spread and accumulate.A Proof of Shor's Orthogonal-Measurement Conjecture and the Structure of Information-Optimal Quantum Measurements
Which quantum measurement extracts the most classical information from an ensemble?Spectral Gap of the Hexagonal AKLT Model via Boundary-State Factorization
We establish a sufficient condition under which overlapping PEPS boundary states satisfy the approximate factorization criterion for a spectral gap.Frustration-Free Models for Topological Holography: Fusion Spin Chains as Boundary Algebras
We introduce a class of $2d$ quantum spin systems based on a unitary spherical fusion category with a chosen object.Rank-One Signal Recovery in Sparse Wishart Noise
We study the high-dimensional recovery of a signal vector $\mathbf{x}$ in the presence of sparse Wishart-like noise.Improved convergence radius of the Fer expansion for Hermitian generators
The Dyson series expands the propagator of a time-dependent Hamiltonian in powers of the Hamiltonian, but its truncations are in general not unitary.Memory-Conditioned Diffusion Model for Generalized Langevin Dynamics
Generalized Langevin equations describe non-Markovian dynamics in which the evolution of resolved variables depends on their past.Continuity of Regularized Channel Rényi Divergences
We prove that the regularized, stabilized sandwiched Rényi divergence of finite-dimensional quantum channels converges to their regularized relative entropy as the Rényi order tends to one.Lengths of Hodge characters in Fermat varieties
We revisit the Hodge conjecture for Fermat (and weighted Fermat) varieties.Spectral geometry: old questions and new answers
These are extended notes based on a series of lectures given by the author at the Institut de Mathematiques de Toulouse in June 2025.The Failure of Simultaneous Quantum Typicality
We establish exact thresholds for the failure of simultaneous quantum typicality: three parties for mixed states and four for pure states.Transversal non-Clifford gates on good quantum locally testable codes
We achieve nontrivial transversal logical multi-controlled-$Z$ gates with asymptotically optimal parameters simultaneously on quantum low-density parity check codes and quantum locally testable…When are bosonic Gaussian states classical to learn?
A fundamental question in physics is: When does classical behavior emerge from quantum systems?Explicit channels with unbounded gains in classical communication using entangled inputs
We construct an explicit family of finite-dimensional quantum channels for which the optimal classical communication rate achievable with product-state codewords and collective decoding tends to…On the Complexity of Finding Decoherence Free Subspaces
Decoherence free subspaces are a steady-state structure of the open quantum system which preserves quantum coherence between the states lying with in it and thus has found a variety of applications…