APPLICATIONS OF FINSLER GEOMETRY TO SPEED LIMITS TO QUANTUM INFORMATION PROCESSING

DOI10.1142/S0129054114400073zbMath1360.68474OpenAlexW2139427999MaRDI QIDQ2929631

Benjamin Russell, Susan Stepney

Publication date: 14 November 2014

Published in: International Journal of Foundations of Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129054114400073

zbMATH Keywords

quantum computingFinsler geometryquantum speed limitquantum optimal control

Mathematics Subject Classification ID

Quantum computation (81P68) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Quantum algorithms and complexity in the theory of computing (68Q12)

Related Items (8)

Quantum speed limits -- primer, perspectives, and potential future directions ⋮ Finsler Trudinger-Moser inequalities on \(\mathbb{R}^2\) ⋮ The Geometry of Speed Limiting Resources in Physical Models of Computation ⋮ A class of time-energy uncertainty relations for time-dependent Hamiltonians ⋮ Some Hardy type inequalities with Finsler norms ⋮ Time-optimal navigation through quantum wind ⋮ Sasakian structure on the unit tangent bundle of a Finsler manifold ⋮ Control landscapes are almost always trap free: a geometric assessment

Cites Work

• The adiabatic analogue of the Margolus–Levitin theorem
• Elementary derivation for passage times
• Relation between quantum speed limits and metrics onU(n)
• Geometric quantum mechanics

This page was built for publication: APPLICATIONS OF FINSLER GEOMETRY TO SPEED LIMITS TO QUANTUM INFORMATION PROCESSING