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Quantum Computing : Recent Questions and Answers

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

How does one go about constructing a mixed entangled state?

In general, an entangled state is one which cannot be decomposed as $sum_{i}p_{i} bigl(rho_{i}^Aotimesrho_{i}^Bbigr)$. But such an entangled state could still be mixed in principle. How would one create...

Asked on 11/29/2021

2 answer

Prove that $Apreceq B$ implies $A=Psi(B)$ for some channel $Psi$

Define $newcommand{PP}{mathbb{P}}newcommand{ket}[1]{lvert #1rangle}newcommand{tr}{operatorname{tr}}newcommand{ketbra}[1]{lvert #1rangle!langle #1rvert}PP_psiequivketbrapsi$, and let $ketpsi,ketphi$ be two bipartite states such that $tr_2(PP_psi)prectr_2(PP_phi)$.Here, $Aprec B$ with $A,B$ positive operators means that the...

Asked on 11/29/2021

1 answer

Why do quantum operations need to be reversible?

Why do quantum operations need to be reversible? Is it because of the physical implementation of the qubits or operators neesd to be unitary so that the resultant states fit...

Asked on 11/24/2021

2 answer

Indexing an "unknown" quantum state

Assuming I have a state$$|xrangle = frac{1}{sqrt{n}}sum_n |x_nrangle$$where $|x_nrangle$ are quantum state vectors$$|x_nrangle = frac{1}{|x_n|}sum_i x_{in}|irangle$$and that I have a unitary $U:|x_nrangle...

Asked on 11/22/2021

1 answer

How do I measure a single qubit in a two-qubit state?

Let us suppose that I have the statebegin{equation}frac{1}{sqrt2}(alpha|0rangle|+rangle+beta|1rangle|-rangle)end{equation}and I choose to measure the first qubit in the basis ${(1/sqrt{2})(|0ranglepm e^{iphi}|1rangle)}$.How can I perform...

Asked on 11/22/2021

1 answer

A question about quantum noise model

Now, I try to understand some concept of Quantum Noise Model and Quantum Channel. The Quantum Noise can be represented as a quantum operator with their own probability. As far...

Asked on 11/22/2021

0 answer

CSV files cut results short in ibm-q-experience?

I have noticed that the csv files exported for results don’t have the resolution to correctly describe the output states for larger sets of qubits. It looks like it only...

Asked on 11/20/2021

1 answer

N-Qubit Hadamard vs Quantum Fourier Transform

Both Simon's algorithm and the algorithm for period finding begin by placing qubits in the equal superposition state, but Simon's algorithm uses the n-qubit Hadamard $H^{otimes n}$ while the...

Asked on 11/17/2021

1 answer

How to get the relative phase of an entangled pair of qubits

I have an extension to the following question: How to get the relative phase of a qubit?How do I get the relative phase of a pair of entangled...

Asked on 11/17/2021

1 answer

Is there a tool to get the quantum circuit corresponding to a sparse matrix?

If I know a sparse matrix, is there any tool that allows me to get the corresponding quantum circuit directly? If not what should I do? For example,I want to...

Asked on 11/15/2021

1 answer

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