Abstract
AbstractWe consider the optimal control problem in a two-qubit system with bounded amplitude. Two cases are studied: quantum state preparation and entanglement creation. Cost functions, fidelity and concurrence, are optimized over bang-off controls for various values of the total duration, respectively. For quantum state preparation problem, three critical time points are determined accurately, and optimal controls are estimated. A better estimation of the quantum speed limit is obtained, so is the time-optimal control. For entanglement creation problem, two critical time points are determined, one of them is the minimal time to achieve maximal entanglement (unit concurrence) starting from the product state. In addition, the comparisons between bang-off and chopped random basis (CRAB) are made.
Publisher
Springer Science and Business Media LLC
Reference42 articles.
1. Glaser, S. J. et al. Training Schorödinger’s cat: quantum optimal control. Eur. Phys. J. D 69, 279 (2015).
2. D’Alessandro, D. Introduction to Quantum Control and Dynamics (2nd ed.), Chapman and Hall/CRC (2021).
3. Krotov, V. F. Global methods in optimal control theory, in advances in nonlinear dynamics and control: A report from Russia (Birkhäuser Boston, Boston, MA, 1993).
4. Brif, B., Chakrabarti, R. & Rabitz, H. Control of quantum phenomena: Past, present and future. New J. Phys. 12, 075008 (2010).
5. Gericke, T. et al. Adiabatic loading of a Bose-Einstein condensate in a 3D optical lattice. J. Modern Opt. 54, 735 (2007).
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