Introduction to Grassmann manifolds and quantum computation

DOI10.1155/S1110757X02110163zbMath1037.81014arXivquant-ph/0103011MaRDI QIDQ1864538

Kazuyuki Fujii

Publication date: 18 March 2003

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0103011

zbMATH Keywords

homogeneous spacesquantum computationflag manifoldsGrassmann manifoldsquantum holonomyStiefel manifoldsinfinite dimensional separable Hilbert spaceprincipal \(U(m)\) bundle

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Quantum computation (81P68) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Applications of global differential geometry to the sciences (53C80) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Multilinear algebra, tensor calculus (15A69)

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