Tools in the Riemannian geometry of quantum computation

DOI10.1007/s11128-011-0290-6zbMath1260.81043OpenAlexW2059646813WikidataQ115381355 ScholiaQ115381355MaRDI QIDQ452237

Howard E. Brandt

Publication date: 20 September 2012

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11128-011-0290-6

zbMATH Keywords

Riemannian geometrygeodesicsJacobi fieldsdifferential geometryquantum computingLax equationquantum complexityquantum circuits

Mathematics Subject Classification ID

Quantum computation (81P68) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Methods of local Riemannian geometry (53B21) Quantum algorithms and complexity in the theory of computing (68Q12)

Cites Work

• Riemannian geometry of quantum computation
• A unification of chirality measures
• Sub-Finsler geometry in dimension three
• Curvatures of left invariant metrics on Lie groups
• Topological methods in hydrodynamics
• Quantum Computation as Geometry
• Compact Lie Groups
• Baker - Campbell - Hausdorff relation for special unitary groups
• A Panoramic View of Riemannian Geometry
• Riemannian Geometry
• Naive Lie Theory
• Integrals of nonlinear equations of evolution and solitary waves
• Riemannian geometry and geometric analysis
• Geometry VI. Riemannian geometry. Transl. from the Russian by S. A. Vakhrameev
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