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1 vote
0 answers
36 views

Are transversal entangling gates possible for stabilizer codes other than CSS?

It is well known that CSS codes can have lots of transversal entangling gates. For example, $ CNOT $ is exactly transversal on 2 blocks of any $ [[n,1,d]] $ CSS code. And https://arxiv.org/abs/1304....
Ian Gershon Teixeira's user avatar
3 votes
1 answer
182 views

Understanding entanglement distillation via stabilizer codes?

I am having some trouble understanding the distillation of EPR pairs using a stabilizer code. This idea goes back to the paper by Bennet, DiVincenzo, Smolin, and Wooters. The idea (I think) is that $k$...
Condo's user avatar
  • 2,111
0 votes
1 answer
710 views

How are logical operators performed and measured on the surface code, in a defect-free way?

I am reading about the surface code and I am still not sure how to perform and measure logical operators, such as $X_L$ or $Z_L$, without creating defects. Suppose I stabilise my qubit array into a ...
JoJo's user avatar
  • 99