Krawtchouk matrices, Feynman path integral and the split quaternions

DOI10.1090/conm/668/13401zbMath1415.60044arXiv1604.00109OpenAlexW2323973374MaRDI QIDQ5225286

Jerzy Kocik

Publication date: 19 July 2019

Published in: Probability on Algebraic and Geometric Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.00109

zbMATH Keywords

Hadamard matricesquantum computingsplit quaternionsFeynman path integralEigenvectorsKrawtchouk matrices\(\mathrm{SL}(2,\mathbb{C})\)

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Noncommutative probability and statistics (46L53) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Tensor products of linear operators (47A80)

Cites Work

• Clifford algebras and Euclid's parametrization of Pythagorean triples
• The spectrum of symmetric Krawtchouk matrices
• Quadratic forms permitting composition
• Krawtchouk Polynomials, a Unification of Two Different Group Theoretic Interpretations
• Krawtchouk polynomials and universal bounds for codes and designs in Hamming spaces
• Ehrenfest urn models
• Random Walk and the Theory of Brownian Motion
• Alternative Solution to the Ehrenfest Problem
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