ASPECTS OF THE RIEMANNIAN GEOMETRY OF QUANTUM COMPUTATION

DOI10.1142/S0217979212430047zbMath1260.81044WikidataQ115246166 ScholiaQ115246166MaRDI QIDQ4915808

Howard E. Brandt

Publication date: 12 April 2013

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

Riemannian geometrygeodesicsJacobi fieldsdifferential geometryquantum computingLax equationquantum complexityquantum circuitsgeodesic derivative

Mathematics Subject Classification ID

Quantum computation (81P68) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Geodesics in global differential geometry (53C22) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Quantum algorithms and complexity in the theory of computing (68Q12)

Related Items (1)

Duality quantum computer and the efficient quantum simulations

Cites Work

• Riemannian geometry of quantum computation
• Sub-Finsler geometry in dimension three
• Quantum Computation as Geometry
• Compact Lie Groups
• Baker - Campbell - Hausdorff relation for special unitary groups
• A Panoramic View of Riemannian Geometry
• Naive Lie Theory
• Integrals of nonlinear equations of evolution and solitary waves
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