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1 vote
1 answer
97 views

Is this quantum circuit design more prone to noise?

I am designing a quantum circuit which uses one qubit as the control of many $\text{CSWAP}$ operations. And then, this qubit will be measured. Will the result be more prone to noise since all the ...
Deren  Liu's user avatar
  • 121
1 vote
1 answer
159 views

How to fix two flip-bit errors in a 3 qubit input

Aware of how a 1-bit flip can be fixed for 3-qubit input by having 2 Ancilla bits, encoding, and using the Toffoli gate to fix the error and decode. How can this idea be extended for a 2-bit flip (...
codeit's user avatar
  • 69
1 vote
1 answer
239 views

Get parameters of a CU gate for implementing an erroneous CX gate with fidelity = 0.81

Let's say the definition of an erroneous CNOT gate is given as - CNOT is a 2-qubit quantum gate when the control qubit is at state 0, applies identity operation on the target qubit, when the control ...
codeit's user avatar
  • 69
0 votes
1 answer
134 views

How to apply error-correction to the swap test circuit?

Swap test is a simple quantum circuit to measure the inner product of two quantum states [Wiki: swap test], it only contains three quantum gates. However, due to the error in the real quantum computer ...
Saul_better's user avatar
1 vote
1 answer
52 views

How to best represent 5-Qbit codeword operator in Qiskit [duplicate]

We learned that in the 5-Qibit error correcting code, the logical zero state $ | \bar{0} \rangle $ is encoded in the form of $ \frac{1}{4} (\mathbb{1}+M_0)(\mathbb{1}+M_1)(\mathbb{1}+M_2)(\mathbb{1}+...
Blackwidow's user avatar
4 votes
1 answer
510 views

How the real IBM quantum computers apply arbitrary Rz(θ) gate rotation? [closed]

I want to ask the following questions: (1) The basis gate set of IBM quantum computers is { Id, Rz(θ),√X, X, CNOT, reset}. Somebody said that IBM didn’t really apply Rz(θ) gate on the machine. The ...
劉承瀚's user avatar
5 votes
1 answer
206 views

Where does the "correction" in quantum error correction occur, specifically when using repetition codes?

I'm reading the part of the qiskit textbook that deals with this (https://qiskit.org/textbook/ch-quantum-hardware/error-correction-repetition-code.html) and so far it seems as though they're just ...
John Macintosh's user avatar
1 vote
1 answer
724 views

Applying a projector to a qubit in a qiskit circuit

I'd like to be able to apply $|0 \rangle \langle 0|$ to project a qubit to the state $|0 \rangle$ in the middle of qiskit circuit (see, for example, the attached circuit). I wonder if, in general, ...
danuzco's user avatar
  • 25
0 votes
1 answer
145 views

Is there a way to entangle to a dirty qubit?

Let's say I do something to a qubit, and I want to entangle it to a 2nd one, like this: ...
Jack Nathan's user avatar