All Questions
Tagged with error-correction entanglement
24
questions
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:
...
- 584
1
vote
1
answer
372
views
Is there any difference between a quantum- and classically-controlled gate if I know my basis?
Consider an unrealistic 2-qubit plus 1 ancilla bit-flip error correction code (images generated by quirk), where I know by some means or other that an error may have happen on qubit0 (represented by ...
- 181
3
votes
3
answers
261
views
In the three-qubit bit flip code, why can the first bit flip without impacting the entanglement with the other qubits?
The principle of the three-qubit Bit Flip Code is straight forward at first sight. Using CNOT you basically encode
$$a|0\rangle + b|1\rangle $$
to
$$ a|000\rangle + b|111\rangle$$
using ...
- 151
3
votes
0
answers
161
views
How does Teleportation based Error Correction (TEC) detect and correct loss/erasure errors?
I'm looking at papers like Demonstration of teleportation-based error correction in the IBM quantum computer (page) 10 and Role of syndrome information on a one-way quantum repeater using ...
2
votes
2
answers
104
views
The behaviour of ebits in Entanglement-assisted Quantum Error Correction Codes?
I am reading about Entanglement-assisted Quantum Error Correction Codes from Quantum Information Processing and Quantum Error Correction: An Engineering Approach (Chapter 9) . It is a scheme that ...
- 822
2
votes
1
answer
176
views
Repetition code encoder circuit
The repetition code encodes $\vert \psi \rangle = \alpha \vert 0 \rangle + \beta \vert 1 \rangle \rightarrow \vert \psi \rangle = \alpha \vert 000 \rangle + \beta \vert 111 \rangle$ using the ...
- 822
10
votes
0
answers
102
views
Entanglement-assisted hashing bound for asymmetric depolarizing channels
I reading the paper EXIT-Chart Aided Quantum Code Design
Improves the Normalised Throughput
of Realistic Quantum Devices, which proposes the use of QTCs in order to do quantum error correction for ...
8
votes
1
answer
1k
views
What is the definition of Bell state on a n-qubit system?
Question 1: The bell state for a 2-qubit system has been defined in Neilsen and Chuang's book as the set of maximally entangled states spanned by $\{|00\rangle + |11\rangle, |00\rangle - |11\rangle, |...
- 81
11
votes
5
answers
938
views
What is quantum entanglement, and what role does it play in quantum error correction?
I want to understand what quantum entanglement is and what role does it play in quantum error correction.
NOTE:
As per the suggestions of @JamesWootton and @NielDeBeaudrap, I have asked a separate ...
- 251