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Results tagged with quantum-state
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user 13763
Questions about or related to quantum states. Consider using the density-matrix tag when relevant.
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Explanation of NOT gate in Hadamard basis [closed]
So I am reading this book and I found this worked out example which I didn't get. If you understand these bits of pieces, can you please let me know.
Question:
Answer:
Why is there two H over here …
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1
answer
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Dimensionality and value of $\mathbb{I}_A$ in Quantum operations
I was checking this question answer but I still can't get what is the value and dimension of $\mathbb{I}_A$ in this question and on the answer. Is it an identity matrix or some vector?
It also appears …
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4
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1
answer
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What is the difference between $|0\rangle+|1\rangle$ and a balanced mixture of $|0\rangle$ a... [duplicate]
Suppose I have a quantum state $\frac{1}{\sqrt{2}}|0\rangle+\frac{1}{\sqrt{2}}|1\rangle$. Also I have a mixture of two quantum states
$S_{1} = |0\rangle$ and $S_{2} = |1\rangle$. In this mixture $50\% …
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3
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2
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858
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What's the idea behind the unitary freedom of ensemble decompositions for density matrices?
I was reading the book by Nielsen & Chuang. I got the part about why we use the density operators. And then I got to the section of theorem 2.6. It says roughly this thing:-
The sets $|{\tilde\psi_i} …
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1
answer
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Compute the squared overlap between different given qubit states
I was checking this problem from a book. And here is an example, but I think it's wrong. If it is not wrong can you please explain how did they derive it?
As per my workout, it should be $1$. But It s …
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9
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1
answer
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What are tentpole topics in quantum computing?
Lots of beginners are starting to learn quantum computing. But there are also experienced people that have been working in this field for many years.
What are some topics that might be considered impo …
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2
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1
answer
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Does $\mathrm{tr}(A \otimes B) = \mathrm{tr} (A) \otimes \mathrm{tr}(B)$ hold for partial tr...
I was reading this question from this site answered by DaftWullie. I would like to request you to read the question there. The answer says
However, in this particular case, the calculation is much si …
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3
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2
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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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1
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What is the conjugate transpose of $|0\rangle_{A}|1\rangle_{B}$?
Suppose a composite state is in $|0\rangle_{A}|1\rangle_{B}$. Then their conjugate transpose would be
$\langle 0|_{A}\langle 1|_{B}$?
Note: Why this question? Because I was checking MIT's "Quantum Inf …
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2
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EPR pair and individual operations [closed]
I have created an EPR pair. Let's suppose it's $(|00\rangle + |11\rangle)/\sqrt{2}$. We both of our halves and then we move into our places.
If I ask you how does your half look like (mathematical ex …
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