From 6e70f28ccbd5afc1506f71f013278a9d157ef03a Mon Sep 17 00:00:00 2001 From: Prefetch Date: Thu, 27 Oct 2022 20:40:09 +0200 Subject: Optimize last images, add proof template, improve CSS --- source/know/concept/repetition-code/index.md | 63 +++------------------------- 1 file changed, 6 insertions(+), 57 deletions(-) (limited to 'source/know/concept/repetition-code') diff --git a/source/know/concept/repetition-code/index.md b/source/know/concept/repetition-code/index.md index 678211e..89e6f4d 100644 --- a/source/know/concept/repetition-code/index.md +++ b/source/know/concept/repetition-code/index.md @@ -164,63 +164,12 @@ while $$ZZI$$ cannot protect the 3rd qubit. But by using both, we know exactly which qubit was flipped thanks to the eigenvalues: - - - - - - - - - - - - - - - - - - - - - - - - - - -
- Error - - $$ZZI$$ - - $$IZZ$$ -
- $$I$$ - - $$+1$$ - - $$+1$$ -
- $$X_1$$ - - $$-1$$ - - $$+1$$ -
- $$X_2$$ - - $$-1$$ - - $$-1$$ -
- $$X_1$$ - - $$+1$$ - - $$-1$$ -
+| **Error** | $$ZZI$$ | $$IZZ$$ | +| :-: | :-: | :-: | +| $$I$$ | $$+1$$ | $$+1$$ | +| $$X_1$$ | $$-1$$ | $$+1$$ | +| $$X_2$$ | $$-1$$ | $$-1$$ | +| $$X_1$$ | $$+1$$ | $$-1$$ | Where e.g. $$X_3$$ denotes that the 3rd qubit was flipped. The measurement outcomes on the last three rows are called **error syndromes**, -- cgit v1.2.3