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Results tagged with nielsen-and-chuang
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user 13763
For questions about exercises or passages from the popular quantum computing textbook *Quantum Computation and Quantum Information* by Michael Nielsen and Isaac Chuang.
2
votes
1
answer
133
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Why does $\sum_n \langle n|M_m\rho M_m^\dagger|n\rangle$ simplify to $\langle \psi|M_m^\dagg...
I was trying to derive the formula for $p(m)$ in exercise 8.2 on page 357 in Nielsen & Chuang. But I am wondering what rule I can apply to simplify this
$$\mathrm{tr}(\mathcal{E}_m(\rho) )= \sum_n \l …
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7
votes
3
answers
1k
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Partial Cyclic Permutation with only Toffoli and CNOT gates?
I have been trying to solve this puzzle of constructing this transformation from CNOT and Toffoli gates as mentioned in NC page 193 (Ex 4.27)
Here is what I have done:
First observation is it has 8 …
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0
votes
1
answer
279
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Derivation of Equation $8.7$ in Nielsen Chuang [duplicate]
Equation \eqref{eq:sp1} represents the reduced state of the system after tracing over environment.(Page number 358)
$$\mathcal{E}(\rho) = \mathrm{tr}_{env}(\lbrack U(\rho \otimes \rho_{env} )U^{\dagge …
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3
votes
4
answers
116
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In Bell's inequalities, what is the meaning of assuming that the physical properties $P_Q,P_...
Two assumptions behind Bell inequalities (Page 117 Nielsen Chuang)
(1) The assumption that the physical properties $P_{Q}$, $P_{R}$, $P_{S}$, $P_{T}$ have definite values
$Q$,$R$, $S$, $T$ which exist …
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8
votes
1
answer
2k
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How do we find the stabilizer generators for the three-qubit bit-flip code spanned by $|000\...
In Nielsen & Chuang's book "Quantum Computation and Quantum Information" section 10.5.6, page 467 there is the following statement
Consider the familiar three-qubit bit-flip code spanned by the state …
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3
votes
2
answers
339
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Output of Quantum Phase Estimation Algorithm
In section 5.2.1 of Nielsen Chuang, Performance and Requirements, there is an idea, that what happens if we can't prepare eigen state $|u\rangle$ and instead have a state $|\psi\rangle$ which is repre …
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4
votes
1
answer
816
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Application of QFT to Order-finding
In the Nielsen & Chuang book, section 5.3.1 page 226, there is a statement which goes like this:- (statement-1)
The quantum algorithm for order-finding is just the phase estimation
algorithm applied …
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