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Summary
| Description |
English: Illustration of the pulse sequence implementing the Cirac–Zoller gate between qubits A and B.
The ion chain itself has a phonon mode. Detuning, δ, is only present if the ion chain is in its first excited state, 1. Each ion has a ground (g), an excited (e) and an auxiliary (a) state. The three pulses are as follows: (1): A π-pulse is applied to ion A. (2): A 2π-pulse is applied to ion B. (3): Another π-pulse is applied to ion A. |
| Date | |
| Source |
Own work inspired by fig. 1. (b) in "Quantum Computations with Cold Trapped Ions" by J. I. Cirac and P. Zoller |
| Author | QuarksAndElectrons |
LaTeX Source
%Converted to svg with pdf2svg
\documentclass[tikz]{standalone}
\usetikzlibrary{shapes.callouts}
\tikzset{
level/.style = {
ultra thick,
black,
},
connect/.style = {
dashed,
red
},
notice/.style = {
draw,
rectangle callout,
callout relative pointer={#1}
},
label/.style = {
text width=2cm
}
}
\begin{document}
\begin{tikzpicture}
%Magnifier 1
\draw[level] (2.5,1.5) -- (2.5,3.25);
\draw[level] (2.5,-1) ellipse (3cm and 2.5cm);
%Magnifier 2
\draw[level] (8,1.19) -- (6.65,3.3);
\draw[level] (9.5,-1) ellipse (3cm and 2.5cm);
% Chain 1
\node[label] at (0.25,3.5) {$\cdots$};
\draw[draw=black,fill=black] (0,3.5) circle (0.12cm);
\draw[draw=black,fill=black] (0.5,3.5) circle (0.12cm);
\draw[draw=black,fill=black] (1,3.5) circle (0.12cm);
\draw[draw=black,fill=black] (1.5,3.5) circle (0.12cm);
\draw[draw=black,fill=black] (2,3.5) circle (0.12cm);
\draw[level] (2.5,3.5) circle (0.25cm);
\draw[draw=black,fill=black] (2.5,3.5) circle (0.12cm) node[above, yshift=0.25cm] {$|A\rangle$};
\draw[level] (2.5,3.5) circle (0.25cm);
\draw[draw=black,fill=black] (3,3.5) circle (0.12cm);
\draw[draw=black,fill=black] (3.5,3.5) circle (0.12cm);
\node[label] at (4.75,3.5) {$\cdots$};
%Phonon
\path[level, <->] (0.2,4) edge (0.8,4) node[above,xshift = 0.3cm, yshift = 0.1cm] {$|0/1\rangle$};
% Chain 2
\node[label] at (6.25,3.5) {$\cdots$};
\draw[draw=black,fill=black] (6,3.5) circle (0.12cm);
\draw[level] (6.5,3.5) circle (0.25cm);
\draw[draw=black,fill=black] (6.5,3.5) circle (0.12cm) node[above, yshift=0.25cm] {$|B\rangle$};
\draw[draw=black,fill=black] (7,3.5) circle (0.12cm);
\node[label] at (8.25,3.5) {$\cdots$};
% First system
\draw[level] (0,0) -- node[above] {$a$} (2,0);
\draw[level] (3,0) -- node[above] {$e$} (5,0);
\draw[level] (3,-2) -- node[below] {$g$} (5,-2);
% Second system
\draw[level] (7,0) -- node[above] {$a$} (9,0);
\draw[level] (10,0) -- node[above] {$e$} (12,0);
\draw[level] (10,-2) -- node[below] {$g$} (12,-2);
%Detuning
\path[level, <->] (4,-1.4) edge node[left] {$\delta$} (4,-2);
\path[level, <->] (11,-1.4) edge node[left] {$\delta$} (11,-2);
%Arrows
\path[level, <-] (3.5,-0.1) edge [bend right=20] node[left] {$(1)$} (3.5,-1.4);
\path[level, ->] (4.5,-0.1) edge [bend left=20] node[right] {$(3)$} (4.5,-1.4);
%Round arrow
\draw[level, scale=1,domain=-0.25:2.25,samples = 200,smooth ,variable=\t,->]
plot ({1.6*sin(2* \t r +150)+9.5},{0.65*sin(2*\t r)-0.8})
node[left, xshift=-1cm, yshift=0.7cm] {$(2)$};
%System
\node[label] at (10,3.5) [draw, text width=2.1cm]{\large Total state:
$|A\rangle|B\rangle|0/1\rangle$};
%Padding
\node[] () at (13,5) {};
\node[] () at (13,-4) {};
\node[] () at (-1,-4) {};
\end{tikzpicture}
\end{document}
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 18:14, 28 January 2024 | | 504 × 327 (60 KB) | QuarksAndElectrons | Removed white from background, making transparency work better. |
| 10:56, 21 January 2024 |  | 504 × 327 (61 KB) | QuarksAndElectrons | Uploaded own work with UploadWizard |
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