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Questions tagged [nielsen-and-chuang]

For questions about exercises or passages from the popular quantum computing textbook *Quantum Computation and Quantum Information* by Michael Nielsen and Isaac Chuang. This is also used for the site wide project answering all the questions contained therein.

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Connection between stabilizer generators and parity check matrices in the Steane code

I'm working through Mike and Ike (Nielsen and Chuang) for self-study, and I'm reading about stabilizer codes in Chapter 10. I'm an electrical engineer with somewhat of a background in classical ...
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Nielsen & Chuang Exercise 2.5 - Inner products of complex vectors [closed]

Reproduced from Exercise 2.5 of Nielsen & Chuang’s Quantum Computation and Quantum Information (10th Anniversary Edition): A function $(\cdot, \cdot)$ from $V × V$ to $C$ is an inner product if ...
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Nielsen & Chuang Exercise 2.4 - “Matrix representation for identity”

Reproduced from Exercise 2.4 of Nielsen & Chuang's Quantum Computation and Quantum Information (10th Anniversary Edition): Show that the identity operator on a vector space $V$ has a matrix ...
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1answer
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Nielsen & Chuang Exercise 2.3 - “Matrix representation for operator products”

Reproduced from Exercise 2.3 of Nielsen & Chuang's Quantum Computation and Quantum Information (10th Anniversary Edition): Suppose $A$ is a linear operator from vector space $V$ to vector space ...
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1answer
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Nielsen & Chuang Exercise 2.2 - “Matrix representations: example”

Reproduced from Exercise 2.2 of Nielsen & Chuang's Quantum Computation and Quantum Information (10th Anniversary Edition): Suppose $V$ is a vector space with basis vectors $|0\rangle$ and $|1\...
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Nielsen & Chuang Exercise 2.1 - “Linear dependence: example”

Reproduced from Exercise 2.1 of Nielsen & Chuang's Quantum Computation and Quantum Information (10th Anniversary Edition): Show that $(1, −1)$, $(1, 2)$ and $(2, 1)$ are linearly dependent. ...