Holonomic quantum control with continuous variable systems
Abstract
Universal computation of a quantum system consisting of superpositions of well-separated coherent states of multiple harmonic oscillators can be achieved by three families of adiabatic holonomic gates. The first gate consists of moving a coherent state around a closed path in phase space, resulting in a relative Berry phase between that state and the other states. The second gate consists of "colliding" two coherent states of the same oscillator, resulting in coherent population transfer between them. The third gate is an effective controlled-phase gate on coherent states of two different oscillators. Such gates should be realizable via reservoir engineering of systems which support tunable nonlinearities, such as trapped ions and circuit QED.
Cite
@article{arxiv.1503.00194,
title = {Holonomic quantum control with continuous variable systems},
author = {Victor V. Albert and Chi Shu and Stefan Krastanov and Chao Shen and Ren-Bao Liu and Zhen-Biao Yang and Robert J. Schoelkopf and Mazyar Mirrahimi and Michel H. Devoret and Liang Jiang},
journal= {arXiv preprint arXiv:1503.00194},
year = {2016}
}
Comments
6 pages, 3 figures + 4 page supplement; (v3 scheme now universal; v4 title changed to match published version); gate animations available at http://dancingblobs.krastanov.org/