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Proceedings Paper

Time-optimal quantum control via differential geometry
Author(s): Xiaoting Wang; Michele Allegra; Kurt Jacobs; Seth Lloyd; Cosmo Lupo; Masoud Mohseni
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Paper Abstract

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.

Paper Details

Date Published: 20 February 2017
PDF: 7 pages
Proc. SPIE 10118, Advances in Photonics of Quantum Computing, Memory, and Communication X, 101180F (20 February 2017); doi: 10.1117/12.2256267
Show Author Affiliations
Xiaoting Wang, Louisiana State Univ. (United States)
Massachusetts Institute of Technology (United States)
Michele Allegra, Scuola Internazionale Superiore di Studi Avanzati (Italy)
Massachusetts Institute of Technology (United States)
Kurt Jacobs, U.S. Army Research Lab. (United States)
Louisiana State Univ. (United States)
Seth Lloyd, Massachusetts Institute of Technology (United States)
Cosmo Lupo, Univ. of York (United Kingdom)
Masoud Mohseni, Google Quantum AI (United States)


Published in SPIE Proceedings Vol. 10118:
Advances in Photonics of Quantum Computing, Memory, and Communication X
Zameer Ul Hasan; Philip R. Hemmer; Hwang Lee; Alan L. Migdall, Editor(s)

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