Time-optimal quantum control via differential geometry
Author(s)
Wang, Xiaoting; Allegra, Michele; Jacobs, Kurt; Lloyd, Seth; Lupo, Cosmo; Mohseni, Masoud; ... Show more Show less
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Compared with many other methods which only give time sub-optimal designs, the quantum brachistochrone equation has a great potential to provide accurate time-optimal protocols for essentially any quantum control problem. So far it has been of limited use, however, due to the inadequacy of conventional numerical methods to solve it. Here, using differential geometry, we reformulate the quantum brachistochrone curves as geodesics on the unitary group. This identification allows us to design a numerical method that can efficiently solve the brachistochrone problem by first solving a family of geodesic equations.
Date issued
2017-02Department
Massachusetts Institute of Technology. Department of Mechanical EngineeringJournal
Proceedings Volume 10118, Advances in Photonics of Quantum Computing, Memory, and Communication X
Publisher
SPIE
Citation
Wang, Xiaoting, et al. "Time-Optimal Quantum Control via Differential Geometry." Proceedings Volume 10118, Advances in Photonics of Quantum Computing, Memory, and Communication X, 28 January - 2 February, 2017, San Francisco, California, edited by Zameer U. Hasan et al., 2017, p. 101180F. © 2017 SPIE.
Version: Final published version