ArticleEntropy (Basel, Switzerland)2020
Unification of the Nature's Complexities via a Matrix Permanent-Critical Phenomena, Fractals, Quantum Computing, ♯P-Complexity.
Article in Entropy (Basel, Switzerland), 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Towards the Simplest Model of Quantum Supremacy: Atomic Boson Sampling in a Box Trap.Entropy (Basel, Switzerland) · 2023Article
- Multi-Qubit Bose-Einstein Condensate Trap for Atomic Boson Sampling.Entropy (Basel, Switzerland) · 2022Article
- Exact Recursive Calculation of Circulant Permanents: A Band of Different Diagonals inside a Uniform Matrix.Entropy (Basel, Switzerland) · 2021Article
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3 authors.
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Abstract
We reveal the analytic relations between a matrix permanent and major nature's complexities manifested in critical phenomena, fractal structures and chaos, quantum information processes in many-body physics, number-theoretic complexity in mathematics, and ♯P-complete problems in the theory of computational complexity. They follow from a reduction of the Ising model of critical phenomena to the permanent and four integral representations of the permanent based on (i) the fractal Weierstrass-like functions, (ii) polynomials of complex variables, (iii) Laplace integral, and (iv) MacMahon master theorem.
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