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 12
Quantum geometry at arbitrary genus - I: Anharmonic potentials
In quantum mechanics of genus-1 potentials, perturbation theory around the topologically trivial saddle and non-perturbative instanton saddle are constructively related via the P/NP relation.Geometry-optimized hyperbolic codes for modular fault-tolerant quantum architectures
Quantum fault tolerance is a prerequisite to harness the full potential of quantum computers.Plunge bounds for Fourier concentration operators: geometry, smoothing, and wave packets
We prove a single-logarithm bound for the eigenvalues in the plunge region of Fourier concentration operators, removing the extra logarithmic factor in the Kulikov--Dam Larsen bound for two general…Convergence Without Finite Exactness in the Eigenstate Quantum Bootstrap
The eigenstate quantum-mechanical bootstrap can converge to the physical moment set while remaining nonexact at every finite order.An unified approach for the (inverted) quantum harmonic oscillator and the Berry-Keating hamiltonian
We propose an unified view to three well known quadratic Hamiltonians widely considered in quantum mechanics, i.e. those of the harmonic oscillator, of the inverted harmonic oscillator, and the…Universal critical $g$ factor for spin-1/2 Aharonov-Bohm bound states
Whether the spin-1/2 Aharonov-Bohm Hamiltonian supports bound states has remained controversial since Hagen concluded that no such states exist for a Dirac particle.Analytical results for the Shannon entropy of the critical transverse-field Ising chain
Local-basis Shannon entropies of critical wave functions contain universal subleading information, but the Shannon point of the critical transverse-field Ising chain is singular in the conventional…Energy-constrained two-way capacity bounds for noisy Gaussian channels
A gap between achievable rates and converse bounds persists for energy-constrained bosonic communication in the presence of excess noise.Stability of plethysm coefficients and modified polynomial induction
Let $h_n$ denote the complete homogeneous symmetric function of degree $n$, $s_ν$ the Schur function indexed by a partition $ν$, and $\langle\cdot,\cdot\rangle$ the Hall inner product.Spectral Analysis Beyond the Spectral Gap: Rapid Mixing of Quantum Gibbs Samplers in One Dimension
We prove rapid mixing of a quantum Gibbs sampler for general one-dimensional non-commuting local spin systems at every fixed positive temperature.Fast mixing of the SYK model at high temperatures
The Sachdev-Ye-Kitaev (SYK) model is a strongly interacting fermionic system.Adiabatic tracking and optimal schedules for classical and quantum Gibbs-state preparation
We develop a discrete adiabatic framework for Gibbs-state preparation in classical and quantum optimisation algorithms.Products of unitaries as continuous evolutions at finite precision
I present a short approach to discretizing continuous unitary evolution.A Cohomological Characterization of the Clifford Hierarchy
The Clifford hierarchy plays a central role in fault-tolerant quantum computation, but its higher levels remain only partially understood.Quantum minimum description of density matrices
We study a variant of Schumacher compression.Finite-bath projected ensembles in dual-unitary circuits
We study the emergent randomness in projected ensembles generated by dual-unitary circuits.The Grothendieck Game and Self-Testing Continuous Groups
Self-testing certifies quantum states and measurements from observed correlations alone, without requiring a description of the devices that produce them.Hypercontractivity and entropy decay for infinite-dimensional quantum Gibbs samplers
We derive rates of exponential relative-entropy decay for a broad class of infinite-dimensional quantum Gibbs samplers.Fermions and the Tsirelson Problem in Real Quantum Theory
In a previous work, we showed that real quantum theory (RQT) cannot be experimentally distinguished from ordinary quantum theory (QT).Polynomial-time classical algorithms for mean-field models up to the glass transition
The Sachdev-Ye-Kitaev model is a strongly interacting fermionic system that has been well-studied in condensed matter and high energy physics.