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Results tagged with nielsen-and-chuang
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user 5549
For questions about exercises or passages from the popular quantum computing textbook *Quantum Computation and Quantum Information* by Michael Nielsen and Isaac Chuang.
1
vote
Do the parity matrices of $\text{CSS}(C_1, C_2)$ and $\text{CSS}_{u,v}(C_1, C_2)$ need to be...
It seems that the solution suggests that the parity check matrix of
the parameterized version of the CSS codes and non-parameterized
version are the same.
In essence this is correct but there is a v …
- 331
1
vote
Identity for linear codes and their duals: why do we have $\sum_y (-1)^{x\cdot y}=|C|\delta_...
Here is another proof, which is more elementary but less enlightening. If $x \in C^{\perp}$ then $$\sum_{y\in C}(-1)^{x\cdot y} = \sum_{y\in C} 1 = |C|.$$ If $x \not\in C^{\perp}$ then there exists $z …
- 331