Pure Math · Mathematics & Statistics
Operator Algebras
The newest papers in Operator Algebras that ReadSearch has read, newest first. Each links to its own page, with its authors, date, where it was published and the original.
24 papers, from 10 September 2026 to 3 November 2026: 24 arXiv preprints.
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Newest papers
Approximate Synthetic Spectra of Quantum Systems Associated with Compact Lie Groups
How can noncommuting quantum observables retain the geometry of a classical phase space?Unital qubit channels are $3$-noisy
The algebraic and environmental characteristics of mixed unitary quantum operations are investigated.A density calculus for quantum field theory
These notes provide an introduction to Haagerup noncommutative $L^p$ spaces for quantum field theorists.On the Quantum Chromatic Gap II
We confirm a conjecture of the first author [SODA'26] on a strong form of pseudo-telepathy for Khot's $d$-to-$1$ games: for every $d\geq 4$, every $ε>0$, and every $k\in\mathbb N$, there is a…From Entanglement Bootstrap to DHR Theory
We establish a direct connection between the entanglement bootstrap and the Doplicher--Haag--Roberts theory of superselection sectors for two-dimensional quantum spin systems.Complete entropy contraction from conditional hyperboundedness
For finite-dimensional quantum channels compatible with a faithful conditional expectation, we show that conditional hyperboundedness and strict GNS contraction together yield a relative entropy…A Reduction Bound for Entanglement Detection by Positive Free Maps
Collins, Hayden, and Nechita used free probability to construct families of $k$-positive but not $(k+1)$-positive maps and applied them to entanglement detection.Additive uncertainty relations via pseudospectral methods
Given Hermitian observable $A$, the variance of $A$ is given by the difference of expectations $\langle A^2\rangle - \langle A\rangle^2$, where the expectation of an observable implicitly assumes a…Translation-Invariant Pure States with Exotic Half-Chain Factors
We construct translation-invariant pure quasifree fermionic states on the one-dimensional lattice whose half-chain von Neumann algebras are hyperfinite factors of type $\mathrm{II}_\infty$ or…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.An Explicit Counterexample to Tsirelson's Problem via a Linear System Game
We construct an explicit binary linear system game that separates $C_{qa}$, the closure of the set of finite dimensional quantum correlations, from $C_{qc}$, the set of commuting operator…Stabilizer codes over general phase spaces
We develop a theory of stabilizer codes whose stabilizer groups consist of commuting qudit Paulis, oscillator displacements, and/or planar-rotor displacements.Multi-Indexed Schatten Quasi- and Anti-Norms and Additivity of Conditional Rényi Entropies
We introduce and study multi-indexed Schatten spaces which lift the commutative $\ell_{q_1}\![\ell_{q_2}\![\ell_{q_3}\![\dots]]]$ -spaces to the quantum toolbox.Ballistic Speed and Potential-Theoretic Recurrence for Homogeneous Open Quantum Random Walks
Our study connects root-mean-square ballistic transport to potential-theoretic recurrence for finite-range open quantum random walks.Convergence of Kikuchi matrices to $Γ$-independent and $q$-Gaussian limits
Kikuchi matrices are a family of structured matrices that were introduced to study problems involving tensors and hypergraphs.Sharp Quantum Entropy Mixing Rates and the Operator Layer Cake Theorem
At what rate does the von Neumann entropy of an ensemble of quantum states change under Hamiltonian evolution of its constituents?Quantum Markov State Models for Metastable Dynamics
Open quantum systems can rapidly lose most microscopic information, leaving only a few degrees of freedom to govern their long-time dynamics.More mutually unbiased bases
Mutually unbiased bases (MUBs) describe quantum measurements for which certainty in one basis gives uniform outcomes in the others.Conditioning on Subalgebras - Entropy Duality and Generalized Quantum Stein's Lemma in von Neumann Algebras
We establish duality relations for conditional entropies relative to subalgebras of arbitrary von Neumann algebras, including the Umegaki relative entropy as well as the sandwiched- and Petz-Rényi…Resonance Breaking in Noisy Shor's Algorithm
We argue that the exponential quantum advantage in Shor's algorithm is broken under one-layer depolarizing noise of arbitrary small error rate, by analyzing a resonance breaking phenomenon in noisy…