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Quantum Computing : Recent Questions and Answers (Page 8)

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

Why are non-Clifford gates more complex than Clifford gates?

There are two groups of quantum gates - Clifford gates and non-Clifford gates. Representatives of Clifford gates are Pauli matrices $I$, $X$, $Y$ and $Z$, Hadamard...

Asked on 08/31/2021

1 answer

How to create the logical $|0_Lrangle$ state for the Steane's 7-qubit code?

I don't know how to prepare using Qiskit the following state in order to implement a Steane's 7-qubit code circuit (I omit the normalization factor):begin{align*} |0_Lrangle =&|0000000rangle+|1010101rangle+|0110011rangle+|1100110rangle+ +&|0001111rangle+|1011010rangle+|0111100rangle+|1101001rangle...

Asked on 08/29/2021

2 answer

What separable $rho$ only admit separable pure decompositions with more than $mathrm{rank}(rho)$ terms?

As shown e.g. in Watrous' book (Proposition 6.6, page 314), a separable state $rho$ can always be written as a convex combination of at most ...

Asked on 08/28/2021

1 answer

Circuit for implementing Steane's code for Quantum Error Correction

I was reading about the Steane's code for QEC. However I could not find any implementation or circuit describing its creation. Can anyone share/explain how the Steane's code could be...

Asked on 08/27/2021

1 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 08/26/2021

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 08/25/2021

2 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 08/24/2021

1 answer

Separability Criterion for Multipartite GHZ Quantum States

In "SEPARABILITY CRITERION FOR MULTIPARTITE QUANTUM STATES BASED ON THE BLOCH REPRESENTATION OF DENSITY MATRICES" by Hassan and Joag, I found this remarkable thing about...

Asked on 08/20/2021 by draks ...

1 answer

How to compute the inverse of a unitary B when it's defined only by B|0⟩=XXXX?

I got confused when reading an article about linear combination of unitary method. It shows its process as the following: I can't figure out how the effect...

Asked on 08/20/2021 by Lucida

1 answer

What is the Kraus representation of quantum-to-classical channels?

As discussed in Watrous' book, quantum-to-classical channels are CPTP maps whose output is always fully depolarised. These can always be written as$$Phi_mu(X) = sum_a langle...

Asked on 08/20/2021

1 answer

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