#QuantumErrorCorrection #QEC #LCL832 #TopologicalQuantum #KnotTheory #Liouvillian #QuantumComputing #StabilizerCodes #Vedanta #TatTvamAsi #QuantumPhysics #SurfaceCode #MathematicalPhysics #ElNoxRah #QuantumResearch #OpenScience #IndependentResearch #QuantumMath #Topology #Zenodo

Established tighter bounds on mutually orthogonal quantum Latin squares: sets with n-2 elements must be classical, enabling construction of larger non-classical sets for prime power orders.

#QuantumMath #QuantumInformation #Research

Lesniewski defines a pseudo-ultrametric on von Neumann's incomplete tensor products, quantifying distance via convergence exponents. This refined mathematical framework offers rigorous insights into quantum state equivalence and many-worlds branching.

#QuantumMath #QuantumMechanics #News

Novel algebraic framework for analyzing infinite many-body bosonic systems, establishing that limit states satisfy equilibrium conditions (KMS) regardless of interaction type, with refined analysis of Bose-Einstein condensate formation.

#QuantumMath #OperatorAlgebras #BoseEinstein

Connects the Hilbert-Polya conjecture to quantum Hamiltonians while introducing p-adic quantum computing models and algebraic entanglement frameworks based on lattice spin structures and Galois representations of elliptic curves.

#QuantumMath #EntanglementTheory #Research

Extends the Atiyah–Singer theorem to non-Hermitian Dirac operators, proving spectral indices are topologically protected under smooth deformations when operators are diagonalizable and strongly elliptic.

#TopologicalPhysics #QuantumMath #Research

Holevo & Utkin (Steklov Institute) proved a tight lp-norm inequality for d=3 and numerically validated it up to 200 dimensions using Fourier analysis, with direct implications for minimising output entropy in quantum channels.

#QuantumInformation #QuantumMath #News