Skip to content

yyl19/Planar_BBcode

BranchesTags

Folders and files

NameName
Last commit message
Last commit date

Latest commit

 

History

31 Commits
data
data
 
 
plot
plot
 
 
README.md
README.md
 
 
Xm.py
Xm.py
 
 
Zm.py
Zm.py
 
 
jointx.py
jointx.py
 
 
jointz.py
jointz.py
 
 
planarBBcode.py
planarBBcode.py
 
 

Repository files navigation

Planar Fault-Tolerant Quantum Computation with Low Overhead

This repository contains the code implementation accompanying the paper:

Planar Fault-Tolerant Quantum Computation with Low Overhead
arXiv:2506.18061

The code focuses on generating planar quantum error-correcting codes and performing various logical Pauli measurements in a fault-tolerant manner using the proposed planar BB code craft. An example implementation for the [[162, 8, 7]] code is provided.

📂 Code Structure

File Description
planarBBcode.py Generates the planar BB code structure, including Hx, Hz parity-check matrices.
Xm.py Performs single-block $X$ and $XX$ logical Pauli measurements.
Zm.py Performs single-block $Z$ and $ZZ$ logical Pauli measurements.
jointx.py Performs two-block $X$-type joint logical measurements.
jointz.py Performs two-block $Z$-type joint logical measurements.

📂 Visualizations and Code Structure

The plot folder contains several illustrative figures:

  • 54_180_xtile.png and 54_180_ztile.png visualize the X- and Z-type stabilizers of the code after tile layout.
  • 54layout.png shows the original layout of the code before deformation.

The logical_basis folder provides the logical operator bases of the original code.

The MP folder contains the deformed version of the code and the corresponding optimized logical operators, which are obtained by the painting procedure during the measurement of P.

🧪 Example: [[162, 8, 7]] Code

1. Generate the Code

$ python planarBBcode.py
The [[162,8,7]] code has been saved to './data/hxhz_7_7.pkl'.

2.Performs two-block $Z$-type joint logical measurements

$ python jointz.py
========= Summary of joint Z =========
Z2 tensor Z3
leng	n	dx	before opt dz	after dz 
24	468	7	3	7

3.Performs two-block $X$-type joint logical measurements

$ python jointx.py
========= Summary of joint X =========
X0 tensor X1
wid	n	dz	before opt dx	after opt dx 
25	486	7	3	7

4. Performs single-block $X$ and $XX$ 

$ python Xm.py
========= Summary X  =========
X0
wid	n	dz	Before opt dx	After opt dx 
9	190	7	2	3
10	208	7	2	4
11	226	7	3	5
12	244	7	6	7
X1
wid	n	dz	Before opt dx	After opt dx 
9	190	7	2	4
10	208	7	2	4
11	226	7	4	6
12	244	7	4	6
13	262	7	6	7
X2
wid	n	dz	Before opt dx	After opt dx 
9	190	8	2	2
10	208	8	2	3
11	226	8	2	6
12	244	8	3	6
13	262	8	3	6
14	280	8	3	6
15	298	8	3	7
X3
wid	n	dz	Before opt dx	After opt dx 
9	190	8	2	2
10	208	8	2	3
11	226	8	2	6
12	244	8	2	7
X4
wid	n	dz	Before opt dx	After opt dx 
9	190	8	2	3
10	208	8	2	4
11	226	8	2	6
12	244	8	2	6
13	262	8	3	6
14	280	8	2	7
X5
wid	n	dz	Before opt dx	After opt dx 
9	190	7	2	4
10	208	7	2	5
11	226	7	3	6
12	244	7	4	7
X6
wid	n	dz	Before opt dx	After opt dx 
9	190	7	2	4
10	208	7	2	5
11	226	7	3	6
12	244	7	3	6
13	262	7	3	7
X7
wid	n	dz	Before opt dx	After opt dx 
9	190	7	3	4
10	208	7	5	5
11	226	7	6	6
12	244	7	7	7

========= Summary XX =========
X0 X1
wid	n	dz	Before opt dx	After opt dx 
9	190	8	2	3
10	208	8	2	4
11	226	8	2	4
12	244	8	3	6
13	262	8	2	7
X0 X2
wid	n	dz	Before opt dx	After opt dx 
9	190	8	2	4
10	208	8	2	4
11	226	8	2	6
12	244	8	2	6
13	262	8	3	6
14	280	8	2	6
15	298	8	3	7
X0 X3
wid	n	dz	Before opt dx	After opt dx 
9	190	7	5	5
10	208	7	5	5
11	226	7	7	7
X0 X4
wid	n	dz	Before opt dx	After opt dx 
9	190	8	3	4
10	208	8	2	4
11	226	8	2	6
12	244	8	3	6
13	262	8	4	7
X0 X5
wid	n	dz	Before opt dx	After opt dx 
9	190	7	3	3
10	208	7	4	5
11	226	7	3	5
12	244	7	3	7
X0 X6
wid	n	dz	Before opt dx	After opt dx 
9	190	8	2	4
10	208	8	2	4
11	226	8	2	6
12	244	8	2	6
13	262	8	2	6
14	280	8	2	7
X0 X7
wid	n	dz	Before opt dx	After opt dx 
9	190	7	2	4
10	208	7	3	4
11	226	7	3	6
12	244	7	5	6
13	262	7	5	6
14	280	7	7	7
X1 X2
wid	n	dz	Before opt dx	After opt dx 
9	190	8	2	2
10	208	8	2	3
11	226	8	3	6
12	244	8	5	6
13	262	8	6	7
X1 X3
wid	n	dz	Before opt dx	After opt dx 
9	190	8	2	2
10	208	8	2	3
11	226	8	2	4
12	244	8	2	5
13	262	8	2	7
X1 X4
wid	n	dz	Before opt dx	After opt dx 
9	190	8	2	3
10	208	8	2	4
11	226	8	2	6
12	244	8	2	6
13	262	8	2	7
X1 X5
wid	n	dz	Before opt dx	After opt dx 
9	190	7	2	4
10	208	7	2	5
11	226	7	2	6
12	244	7	4	7
X1 X6
wid	n	dz	Before opt dx	After opt dx 
9	190	8	2	4
10	208	8	3	4
11	226	8	4	6
12	244	8	3	6
13	262	8	3	7
X1 X7
wid	n	dz	Before opt dx	After opt dx 
9	190	8	3	4
10	208	8	2	5
11	226	8	2	6
12	244	8	2	7
X2 X3
wid	n	dz	Before opt dx	After opt dx 
9	190	8	2	4
10	208	8	2	4
11	226	8	2	6
12	244	8	2	7
X2 X4
wid	n	dz	Before opt dx	After opt dx 
9	190	7	2	5
10	208	7	2	5
11	226	7	2	7
X2 X5
wid	n	dz	Before opt dx	After opt dx 
9	190	8	2	2
10	208	8	2	3
11	226	8	3	6
12	244	8	2	6
13	262	8	2	6
14	280	8	3	7
X2 X6
wid	n	dz	Before opt dx	After opt dx 
9	190	7	2	4
10	208	7	2	4
11	226	7	3	6
12	244	7	5	7
X2 X7
wid	n	dz	Before opt dx	After opt dx 
9	190	8	2	2
10	208	8	2	3
11	226	8	2	5
12	244	8	2	6
13	262	8	3	7
X3 X4
wid	n	dz	Before opt dx	After opt dx 
9	190	7	6	6
10	208	7	6	6
11	226	7	7	7
X3 X5
wid	n	dz	Before opt dx	After opt dx 
9	190	7	3	4
10	208	7	2	4
11	226	7	3	6
12	244	7	3	6
13	262	7	5	6
14	280	7	5	6
15	298	7	7	7
X3 X6
wid	n	dz	Before opt dx	After opt dx 
9	190	7	2	4
10	208	7	2	4
11	226	7	2	6
12	244	7	2	6
13	262	7	3	6
14	280	7	3	6
15	298	7	3	7
X3 X7
wid	n	dz	Before opt dx	After opt dx 
9	190	7	4	4
10	208	7	3	5
11	226	7	3	6
12	244	7	5	7
X4 X5
wid	n	dz	Before opt dx	After opt dx 
9	190	7	3	4
10	208	7	3	4
11	226	7	2	6
12	244	7	3	6
13	262	7	5	7
X4 X6
wid	n	dz	Before opt dx	After opt dx 
9	190	7	2	3
10	208	7	2	3
11	226	7	2	4
12	244	7	2	5
13	262	7	2	7
X4 X7
wid	n	dz	Before opt dx	After opt dx 
9	190	7	3	4
10	208	7	3	4
11	226	7	5	6
12	244	7	5	7
X5 X6
wid	n	dz	Before opt dx	After opt dx 
9	190	7	2	2
10	208	7	2	3
11	226	7	2	5
12	244	7	2	5
13	262	7	2	7
X5 X7
wid	n	dz	Before opt dx	After opt dx 
9	190	7	2	4
10	208	7	3	4
11	226	7	4	6
12	244	7	5	6
13	262	7	4	6
14	280	7	3	7
X6 X7
wid	n	dz	Before opt dx	After opt dx 
9	190	7	2	4
10	208	7	2	6
11	226	7	2	6
12	244	7	2	7

5. Performs single-block $Z$ and $ZZ$ 

$ python Zm.py
========= Summary Z =========
Z0
leng	n	dx	Before opt dz	After opt dz 
9	192	9	2	4
10	210	9	2	5
11	228	9	2	6
12	246	9	3	6
13	264	9	4	7
Z1
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	3
10	210	8	2	5
11	228	8	2	5
12	246	8	2	6
13	264	8	3	6
14	282	8	2	7
Z2
leng	n	dx	Before opt dz	After opt dz 
9	192	7	2	5
10	210	7	2	6
11	228	7	3	6
12	246	7	2	7
Z3
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	5
10	210	8	2	6
11	228	8	2	7
Z4
leng	n	dx	Before opt dz	After opt dz 
9	192	7	3	6
10	210	7	4	7
Z5
leng	n	dx	Before opt dz	After opt dz 
9	192	7	2	5
10	210	7	5	6
11	228	7	6	6
12	246	7	7	7
Z6
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	5
10	210	8	4	6
11	228	8	4	6
12	246	8	5	6
13	264	8	6	7
Z7
leng	n	dx	Before opt dz	After opt dz 
9	192	7	2	4
10	210	7	2	5
11	228	7	2	6
12	246	7	2	6
13	264	7	2	6
14	282	7	2	7

========= Summary ZZ =========
Z0 Z1
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	4
10	210	8	5	5
11	228	8	4	6
12	246	8	2	6
13	264	8	7	7
Z0 Z2
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	5
10	210	8	2	6
11	228	8	2	6
12	246	8	2	6
13	264	8	2	6
14	282	8	3	7
Z0 Z3
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	4
10	210	8	2	5
11	228	8	2	6
12	246	8	3	7
Z0 Z4
leng	n	dx	Before opt dz	After opt dz 
9	192	9	2	3
10	210	9	2	4
11	228	9	2	5
12	246	9	2	6
13	264	9	3	6
14	282	9	4	6
15	300	9	4	7
Z0 Z5
leng	n	dx	Before opt dz	After opt dz 
9	192	8	3	4
10	210	8	2	5
11	228	8	2	6
12	246	8	3	7
Z0 Z6
leng	n	dx	Before opt dz	After opt dz 
9	192	8	4	4
10	210	8	4	6
11	228	8	4	6
12	246	8	4	6
13	264	8	4	7
Z0 Z7
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	4
10	210	8	4	4
11	228	8	2	6
12	246	8	2	7
Z1 Z2
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	3
10	210	8	2	4
11	228	8	3	5
12	246	8	4	6
13	264	8	5	7
Z1 Z3
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	4
10	210	8	2	6
11	228	8	4	6
12	246	8	5	7
Z1 Z4
leng	n	dx	Before opt dz	After opt dz 
9	192	8	3	4
10	210	8	2	4
11	228	8	2	5
12	246	8	3	6
13	264	8	4	6
14	282	8	2	7
Z1 Z5
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	2
10	210	8	2	3
11	228	8	2	5
12	246	8	3	6
13	264	8	2	7
Z1 Z6
leng	n	dx	Before opt dz	After opt dz 
9	192	7	2	4
10	210	7	2	5
11	228	7	2	7
Z1 Z7
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	4
10	210	8	2	5
11	228	8	5	6
12	246	8	6	7
Z2 Z3
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	4
10	210	8	2	5
11	228	8	4	6
12	246	8	4	6
13	264	8	5	6
14	282	8	6	7
Z2 Z4
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	5
10	210	8	2	5
11	228	8	3	6
12	246	8	3	7
Z2 Z5
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	5
10	210	8	2	6
11	228	8	3	6
12	246	8	4	6
13	264	8	2	6
14	282	8	2	6
15	300	8	2	7
Z2 Z6
leng	n	dx	Before opt dz	After opt dz 
9	192	9	2	3
10	210	9	2	4
11	228	9	2	5
12	246	9	2	7
Z2 Z7
leng	n	dx	Before opt dz	After opt dz 
9	192	7	2	3
10	210	7	2	4
11	228	7	3	6
12	246	7	2	6
13	264	7	2	6
14	282	7	2	7
Z3 Z4
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	4
10	210	8	2	5
11	228	8	3	6
12	246	8	2	7
Z3 Z5
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	5
10	210	8	2	6
11	228	8	2	6
12	246	8	4	7
Z3 Z6
leng	n	dx	Before opt dz	After opt dz 
9	192	7	2	5
10	210	7	2	5
11	228	7	2	6
12	246	7	2	6
13	264	7	2	6
14	282	7	2	7
Z3 Z7
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	5
10	210	8	3	6
11	228	8	5	7
Z4 Z5
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	5
10	210	8	2	6
11	228	8	3	6
12	246	8	5	7
Z4 Z6
leng	n	dx	Before opt dz	After opt dz 
9	192	9	2	4
10	210	9	3	5
11	228	9	2	5
12	246	9	2	6
13	264	9	3	7
Z4 Z7
leng	n	dx	Before opt dz	After opt dz 
9	192	8	2	5
10	210	8	2	5
11	228	8	2	6
12	246	8	3	7
Z5 Z6
leng	n	dx	Before opt dz	After opt dz 
9	192	7	3	5
10	210	7	3	6
11	228	7	2	6
12	246	7	2	7
Z5 Z7
leng	n	dx	Before opt dz	After opt dz 
9	192	7	2	6
10	210	7	2	7
Z6 Z7
leng	n	dx	Before opt dz	After opt dz 
9	192	8	4	5
10	210	8	2	6
11	228	8	2	6
12	246	8	3	7

About

No description, website, or topics provided.

Resources

Readme
Activity

Stars

3 stars

Watchers

0 watching

Forks

0 forks
Report repository

Releases

No releases published

Packages

 
 
 

Contributors

Languages