Sub-Riemannian geometry and time optimal control of three spin systems: Quantum gates and coherence transfer

Navin Khaneja, Steffen J. Glaser, Roger Brockett

Research output: Contribution to journalArticlepeer-review

208 Scopus citations

Abstract

An attempt was made to improve the time that is required to synthesize an important class of unitary transformations in spin systems consisting of three spins 1/2. It was shown that computing the time-optimal way to transfer coherence in a coupled spin network can be reduced to problems of computing sub-Riemannian geodesics. These problems were than explicitly solved for a linear three-spin chain.

Original languageEnglish
Article number032301
Pages (from-to)1-11
Number of pages11
JournalPhysical Review A
Volume65
Issue number3
DOIs
StatePublished - Mar 2002

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