https://kadirceven.com/tags/julia/ Julia HugoBlox Kit (https://hugoblox.com)en-usTue, 10 Feb 2026 00:00:00 +0000 https://kadirceven.com/media/icon_hu_5c1cffdf97443429.png https://kadirceven.com/tags/julia/ https://kadirceven.com/software/symbasis-jl/ Tue, 10 Feb 2026 00:00:00 +0000 https://kadirceven.com/software/symbasis-jl/ <p>Exact diagonalization and related methods scale poorly with system size unless symmetries are exploited to shrink the effective Hilbert space. SymBasis.jl automates the construction of symmetry-resolved bases for systems with a discrete number of degrees of freedom, so that step doesn&rsquo;t have to be rebuilt by hand for every new model.</p> <p><strong>Useful for:</strong> researchers and practitioners working on exact diagonalization or generally needing symmetry-adapted basis construction in condensed matter and quantum many-body physics.</p> <p><strong>Demonstrates:</strong> Julia package design, performance-aware combinatorics and linear algebra, testing, and open-source maintenance.</p> <p><strong>Why it matters:</strong> the same reduction pattern — using symmetry to shrink a Hilbert space to a workable one — shows up throughout quantum simulation and quantum computing, not just in this one project.</p>