Elementary solution to the time-independent quantum navigation problem
| Autor: | Dorje C. Brody, David M. Meier |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Statistics and Probability
Quantum Physics Hilbert space General Physics and Astronomy FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Algebra symbols.namesake Quantum state Modeling and Simulation Quantum process Time-optimal Hamiltonian symbols Trigonometry Hamiltonian (quantum mechanics) Quantum Physics (quant-ph) Quantum Quantum navigation problem Mathematical Physics Mathematics |
| Popis: | A quantum navigation problem concerns the identification of a time-optimal Hamiltonian that realises a required quantum process or task, under the influence of a prevailing `background' Hamiltonian that cannot be manipulated. When the task is to transform one quantum state into another, finding the solution in closed form to the problem is nontrivial even in the case of time-independent Hamiltonians. An elementary solution, based on trigonometric analysis, is found here when the Hilbert space dimension is two. Difficulties arising from generalisations to higher-dimensional systems are discussed. 5 pages |
| Databáze: | OpenAIRE |
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