Transitionless quantum driving in spin echo
- URL: http://arxiv.org/abs/2107.06598v2
- Date: Sun, 6 Feb 2022 10:34:50 GMT
- Title: Transitionless quantum driving in spin echo
- Authors: Anton Gregefalk, Erik Sj\"oqvist
- Abstract summary: We show how all the elements of a spin echo sequence can be performed at high speed by means of transitionsless quantum driving.
We apply the scheme to universal nonadiabatic geometric single- and two-qubit gates in a nuclear magnetic resonance setting.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Spin echo can be used to refocus random dynamical phases caused by
inhomogeneities in control fields and thereby retain the purity of a spatial
distribution of quantum spins. This technique for accurate spin control is an
essential ingredient in many applications, such as nuclear magnetic resonance,
magnetic resonance imaging, and quantum information processing. Here, we show
how all the elements of a spin echo sequence can be performed at high speed by
means of transitionsless quantum driving. This technique promises accurate
control of rapid quantum spin evolution. We apply the scheme to universal
nonadiabatic geometric single- and two-qubit gates in a nuclear magnetic
resonance setting.
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