Time-optimal navigation through quantum wind

DOI10.1088/1367-2630/17/3/033048zbMath1452.81122arXiv1410.6724OpenAlexW2133680609WikidataQ62272429 ScholiaQ62272429MaRDI QIDQ3387733

Dorje C. Brody, David M. Meier, Gary W. Gibbons

Publication date: 13 January 2021

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6724

zbMATH Keywords

Finsler geometryZermelo navigationcontrolled quantum dynamics

Mathematics Subject Classification ID

Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum waveguides, quantum wires (82D77) Quantum control (81Q93)

Related Items (16)

A Riemannian approach to Randers geodesics ⋮ Compactifications of deformed conifolds, branes and the geometry of qubits ⋮ Quantum state geometry and entanglement of two spins with anisotropic interaction in evolution ⋮ Geometry and speed of evolution for a spin-\(s\) system with long-range \(zz\)-type Ising interaction ⋮ Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control ⋮ The Geometry of Speed Limiting Resources in Physical Models of Computation ⋮ Geometrical and dynamical description of two interacting spins under the XXZ-type Heisenberg model ⋮ Classification of time-optimal paths under an external force based on Jacobi stability in Finsler space ⋮ The roles of drift and control field constraints upon quantum control speed limits ⋮ Jacobi-Maupertuis-Eisenhart metric and geodesic flows ⋮ A note on time-optimal paths on perturbed spheroid ⋮ Probing the geometry of two-qubit state space by evolution ⋮ Time-extremal navigation in arbitrary winds on conformally flat Riemannian manifolds ⋮ Geometrical description of the dynamics of entangled two-qubit states under \(U(2)\times U(2)\) local unitary operations ⋮ Holonomy in the quantum navigation problem ⋮ Control landscapes are almost always trap free: a geometric assessment

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• Zermelo navigation in the quantum brachistochrone
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• Geometric quantum mechanics

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