Datasets:

Rise-AGI
/

PRBench

Note: The paper contains figures as images. These image files are available at /workspace/_paper_images/ (JPEG files like _page_*.jpeg). You can read them using the Read tool if you need to inspect figures from the paper for reference.

1. Article Information

Field	quamtum computing
Title	High-fidelity entangling gates in a three-dimensional ion crystal under micromotion
Author	Y.-K. Wu , * Z.-D. Liu,* W.-D. Zhao, and L.-M. Duan
DOI	10.1103/PhysRevA.103.022419
arXiv	Not available (predates arXiv)
Source Markdown	`GateOf2D.md`

2. Main Formulas Used in Reproduction

All the formulas should be extracted from the article

3. Main Methodology

All the methods used should be mentioned in the article

4. Input Parameters

Parameter	Symbol	Typical Values	Description
number of ions	$N$	127
mass of ion	$m$	2.874e-15	mass of ion,usually Yb
ratio of transverse to longitude field	$\alpha$	1
Mathieu parameters	q	0.3
Mathieu parameters	a	0.015
rf frequency	$\omega_{rf}$	$2\pi\times50$MHz
number of the first selected ion	$i_1$	4
number of the second selected ion	$i_2$	6

Besides,you can use any constant in scipy.const.

5. Banned Libraries

The following libraries/approaches are NOT allowed for the core physics simulation:

Banned	Reason
use the result of the article before code	prevent cheating

6. Data Files to Reproduce

6.1 Balance_place_of_ions.csv

File: data/Balance_place_of_ions.csv

Columns: number of ions,x,y,z,x1,y1,z1

xyz are the zeroth-order terms of the ion's equilibrium position, and x1y1z1 are the first-order terms of the ion's equilibrium position.. Parameters are the same as in the article.In particular, the number of ions is set to 50 to reduce unnecessary computation time.

The ion numbers are arranged based on the increasing order of x.

6.2 normal frequency

File: data/normal_frequancy.csv

Columns: frequency,C1x,C1y,C1z,...,CNx,CNy,CNz,C1x1,C1y1,C1z1,...,CNx1,CNy1,CNz1,C1x-1,C1y-1,C1z-1,...,CNx-1,CNy-1,CNz-1

Cix, Ciy, Ciz are zeroth-order terms of the normal modes of the i-th ion corresponding to this frequency.

Cix1, Ciy1, Ciz1 are first-order terms of the normal modes of the i-th ion corresponding to this frequency.

Cix-1, Ciy-1, Ciz-1 are negative first-order terms of the normal modes of the i-th ion corresponding to this frequency.

frequency are sorted in descending order.

In particular, the number of ions is set to 50 to reduce unnecessary computation time.

In this part, you do not need to plot a figure.

6.3 Raman Frequency of Typical couples of ions

File: data/Segments.csv

Columns: Segment1

list your results of Segment shown in the article between the nearest ion pair.

In particular, the number of ions is set to 50 to reduce unnecessary computation time.

nseg =100 is not need

In this part you need to plot 1 figure to show the results above like the article.

If you can give me the right segments,you can draw other pictures easily.So you don’t need to draw them.

All the figures is also placed in the \data

7. Code Structure

7.1 Main Code

Path: reproduction/GateOfLinearTrap.py

Contains:

Basic information and parameters

balance_place function: input with N,A,Q,output the balance place of ions
normal_mode function: input with balance place of ions and A,Q, output the normal frequency and normal modes.
Segmentfunction: input normal frequency, normal modes,couple of ions and other parameters shown in the article. Output the Segment of the parameter.
And other functions if you need.

7.2 execution code

Part	Script Path
1	`reproduction/Balance_place_of_ions.py`
2	`reproduction/normal_frequancy.py`
3	`reproduction/infidelity_of_mu.py`
4	`reproduction/Raman_Segments.py`