Masters thesis — Visvesvaraya National Institute of Technology (Nagpur), 2025. Full text: https://archive.org/details/sgng.19109-computational-studies-of-entanglement-in-spin-chains-involving-fi
Entanglement in structured spin chains is a building block for quantum computing — number-sequence-ordered chains give researchers a new tractable model for quasicrystal-like quantum systems and qubit correlations.
Spin chains whose interaction strengths follow Fibonacci and Bernoulli number sequences — proposed here for the first time, in inverse-Fibonacci and Bernoulli forms — are viable models for quasicrystal-like order; the thesis numerically maps ground-state energies and qubit-pair entanglement (concurrences) across these chains and derives a fourth-order polynomial relating the Bernoulli and inverse-Fibonacci ground-state energies.
Why it matters
Entanglement in structured spin chains is a building block for quantum computing — number-sequence-ordered chains give researchers a new tractable model for quasicrystal-like quantum systems and qubit correlations.
Use when: Order hides in number sequences — imposing Fibonacci and Bernoulli patterns on spin-chain interactions produced a first-of-kind model for quasicrystal-like quantum systems, plus a measurable relation between the two orderings.
