@article{Ma:2022:10.1103/PhysRevA.106.012605,
author = {Ma, Y and Pace, MCC and Kim, MS},
doi = {10.1103/PhysRevA.106.012605},
journal = {Physical Review A: Atomic, Molecular and Optical Physics},
title = {Unifying the sorensen-molmer gate and the milburn gate with an optomechanical example},
url = {http://dx.doi.org/10.1103/PhysRevA.106.012605},
volume = {106},
year = {2022}
}

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TY  - JOUR
AB  - The Sørensen-Mølmer gate and Milburn gate are two geometric phase gates, generating nonlinear self-interaction of a target mode via its interaction with an auxiliary mechanical mode, in the continuous- and pulsed-interaction regimes, respectively. In this paper we aim at unifying the two gates by demonstrating that the Sørensen-Mølmer gate is the continuous limit of the Milburn gate, emphasizing the geometrical interpretation in the mechanical phase space. We explicitly consider imperfect gate parameters, focusing on relative errors in time for the Sørensen-Mølmer gate and in phase angle increment for the Milburn gate. We find that, although the purities of the final states increase for the two gates upon reducing the interaction strength together with traversing the mechanical phase space multiple times, the fidelities behave differently. We point out that the difference exists because the interaction strength depends on the relative error when taking the continuous limit from the pulsed regime, thereby unifying the mathematical framework of the two gates. We demonstrate this unification in the example of an optomechanical system, where mechanical dissipation is also considered. We highlight that the unified framework facilitates our method of deriving the dynamics of the continuous-interaction regime without solving differential equations.
AU  - Ma,Y
AU  - Pace,MCC
AU  - Kim,MS
DO  - 10.1103/PhysRevA.106.012605
PY  - 2022///
SN  - 1050-2947
TI  - Unifying the sorensen-molmer gate and the milburn gate with an optomechanical example
T2  - Physical Review A: Atomic, Molecular and Optical Physics
UR  - http://dx.doi.org/10.1103/PhysRevA.106.012605
UR  - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000832482600002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://journals.aps.org/pra/abstract/10.1103/PhysRevA.106.012605
UR  - http://hdl.handle.net/10044/1/99065
VL  - 106
ER  - 

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