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Quantum Computing : Recent Questions and Answers (Page 11)

Find answers to your questions about Quantum Computing or help others by answering their Quantum Computing questions.

How do I "add" two qubit states?

I have two states $|{psi}rangle = begin{pmatrix} a_1\a_2 end{pmatrix}$ and $|{phi}rangle = begin{pmatrix} b_1 \ b_2 end{pmatrix} $ that I want to "add" together. By "add," I of...

Asked on 08/20/2021 by Visipi

1 answer

How to transform a state with amplitude squared or to any power?

Suppose I have an unknown state $|psirangle = sum_i alpha_i|{lambda_i}rangle$, is it possible that I can transform it into $|psirangle = frac{1}{sqrt{sum_i|alpha_i|^{2r}}} sum_i alpha_i^r|{lambda_i}rangle$? I have an...

Asked on 08/20/2021 by M. Chen

1 answer

Can any channel be written as $Phi(X)=operatorname{Tr}_{mathcal Z}[U(Xotimes sigma)U^dagger]$ for any state $sigma$?

We know that every CPTP map $Phi:mathcal Xtomathcal Y$ can be represented via an isometry $U:mathcal Xotimesmathcal Ztomathcal Yotimesmathcal Z$, as$$Phi(X) = operatorname{Tr}_{mathcal Z}[U(Xotimes E_{0,0})U^dagger],quadtext{where}quad E_{a,b}equiv...

Asked on 08/20/2021

1 answer

How to remove ancilla bits from results?

I have a circuit with 2 ancilla bits. I have only asked that the circuit measure the 4 other qubits, but the results keep including the ancilla bits. How to...

Asked on 08/20/2021 by Requiem

1 answer

What is the set of all functions from ℤ to ℤ?

In David Deutsch's classic paper Quantum theory, the Church-Turing principle and the universal quantum computer (1985), Deutsch writes on p. 99:...

Asked on 08/20/2021

2 answer

Why should we use density matrices to simulate quantum systems with noise?

Why we should use density matrices to simulate quantum systems with noise? I found that the any QEC circuit is included by some quantum gates just like normal cases, which...

Asked on 08/20/2021 by Henry_Fordham

2 answer

What is the implication of locality in QAOA?

Suppose I am solving the TSP formulated as a QUBO problem using QAOA. I understand from the original paper that there is a parameter $p$ which...

Asked on 08/20/2021

1 answer

Given a channel $Phi(X)=sum_k c_k(X)sigma_k$, are there always $F_kge0$ such that $Phi(X)=sum_k operatorname{tr}(F_k X)sigma_k$?

Fix a finite number of states $sigma_k$, and consider a channel of the form$$Phi(X)=sum_k c_{k}(X)sigma_k.$$ For $Phi$ to be linear and trace-preserving we must have:...

Asked on 08/20/2021

1 answer

Frequency collision and crosstalk error

As the number of qubit increasing, the frequency of qubit will be crowded and there will become the frequency collision. I was wondering that is there any relation between frequency...

Asked on 08/20/2021 by peachnuts

0 answer

Is Deutsch 1985b wrong about and Quantum Parallelism?

"Quantum theory, the Church-Turing principle and the universal quantum computer" (Deutsch 1985b) appears to introduce the term of "quantum parallelism" (the term is not in "Quantum Theory as a Universal...

Asked on 08/20/2021 by vy32

1 answer

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