Pure Math · Mathematics & Statistics
Quantum Algebra
The newest papers in Quantum Algebra that ReadSearch has read, newest first. Each links to its own page, with its authors, date, where it was published and the original.
13 papers, from 30 September 2026 to 3 November 2026: 13 arXiv preprints.
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Newest papers
An example of universal braiding in Links--Gould topological quantum computation
We construct a universal quantum computational encoding via braiding in Links--Gould fusion spaces associated to $U_q^H(\mathfrak{sl}(2|1))$ where $q$ is on the unit circle and is not a root of unity.From Ghost SICs to SIC-POVMs: A Galois Reduction of Zauner's Conjecture
Symmetric informationally complete positive operator-valued measures (SIC-POVMs, or SICs) are optimal minimal measurements for quantum state tomography.Classical and Quantum Logics with Multiple Non-Equivalent and Non-Isomorphic Models
Both quantum and classical logics have several mutually non-equivalent and non-isomorphic models as has repeatedly been proved in the literature.Three-dimensional QCA that are not stably circuits
We prove that the three-dimensional chiral $\Z_p$ Clifford quantum cellular automata of Haah and of Sun--Yang--Wang--Tantivasadakarn--Chen are, for every odd prime $p$, not finite-depth quantum…Robustness of Magic and the Directed Geometry of State Conversion
In this work, we introduce a state-space distance calibrated by stabilizer states based on the dual structure of the robustness of magic (RoM), and show that RoM is exactly represented as the…Defining 2-group symmetries on lattices and extracting their anomalies
Ordinary $0$-form symmetries $G$ can mix with $1$-form symmetries $Π_2$ to form a $2$-group $\mathcal{G}$.AlgebrasTQD: Computing Algebras and Interfaces in Twisted Quantum Doubles
We present AlgebrasTQD, an open-source code written in GAP (Groups, Algorithms, and Programming), for computing condensable algebras and the corresponding topological boundaries and interfaces of…Quantum LDPC Codes from Polynomial Minors
We construct quantum codes from codewords of a cyclic code and the minors of a polynomial matrix.Invertible subalgebras for chiral semion topological order
Chiral topological order is incompatible with strictly two-dimensional local commuting-projector Hamiltonians on finite-dimensional tensor-product Hilbert spaces.Dynamical Lie Algebras for Fixed-Gate Quantum Ansätze
Parameterized Quantum Circuits have emerged as a central framework for variational quantum algorithms in the NISQ regime, with major applications in quantum simulation, combinatorial optimization…Exact Recovery for Non-Abelian Surface Codes
We study exact recovery for non-Abelian topological surface codes based on the quantum double $D(G)$ of any finite group $G$.Predicting Noise in a Trapped-ion Quantum Simulation of a Lattice Gauge Theory
A recent trapped-ion experiment realised a lattice gauge theory in which the internal states of the ions carry the gauge field and their vibrations carry bosonic matter.The twisted convolution identity and ghost $r$-SICs from finite quantum dilogarithms
Radchenko and Wheeler (RW) recently proved a finite pentagon relation for real quadratic special values of the modular quantum dilogarithm and used it to establish the rank-$1$ twisted convolution…