All Questions
Tagged with error-correction entanglement
25
questions
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26
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Are transversal entangling gates possible for stabilizer codes other than CSS?
It is well known that CSS codes can have lots of transversal entangling gates. For example, $ CNOT $ is exactly transversal on 2 blocks of any $ [[n,1,d]] $ CSS code. And https://arxiv.org/abs/1304....
- 4,460
2
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1
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49
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Can we perform teleported-error-correction with noisy Bell pairs?
It is well-known that in https://arxiv.org/abs/quant-ph/0312190 that error correction can be performed by teleportation on the logical level, so prepare one logical Bell pair and (logical?) Bell ...
- 386
2
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0
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31
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Recent references establishing connections between stabilizer error correction and entanglement distillation procedures
I know some concrete entanglement distillation protocols (from this review).
I also know there are connections between error-correction codes and entanglement distillation (again this review but also ...
- 1,756
3
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1
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176
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Understanding entanglement distillation via stabilizer codes?
I am having some trouble understanding the distillation of EPR pairs using a stabilizer code. This idea goes back to the paper by Bennet, DiVincenzo, Smolin, and Wooters.
The idea (I think) is that $k$...
- 2,096
0
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37
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Why are the other qubits affected by a phase flip in Shor's 9-qubit code?
We have the following "concatenated" initial state in the 9-qubit Shor code:
$\alpha{(|000\rangle+|111\rangle)(|000\rangle+|111\rangle)(|000\rangle+|111\rangle)}/{2\sqrt{2}}+\beta{(|000\...
- 146
1
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0
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80
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Equivalence between entanglement purification and quantum error correction
I've recently been reading the seminal paper recently (BDSW 1996), where they established the equivalence between 1-EPP (one-way classical communication) and error correction through explicit ...
- 386
2
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1
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246
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Is there a way to perform a defect-free logical CNOT on the toric code?
I was curious to whether the two logical qubits on the toric code can be entangled through, for instance, a logical CNOT operation. However, I cannot find any information on this, only how you can do ...
- 99
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682
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How are logical operators performed and measured on the surface code, in a defect-free way?
I am reading about the surface code and I am still not sure how to perform and measure logical operators, such as $X_L$ or $Z_L$, without creating defects. Suppose I stabilise my qubit array into a ...
- 99
2
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102
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How do Hashing bound, entanglement purification, and QECC, relate to each other?
Could anyone elaborate on how these three concepts relate to each other? According to Charlie Bennett's original paper BDSW96, EPP is equivalent to QEC in the sense that both have the hashing bound as ...
- 386
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44
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Computation for threshold of CNOT gate
I'm trying to reproduce some threshold results using 7-qubit Steane code in those legacy papers. I managed to obtain the graph for circuit noise and single qubit gate
e.g. the pseudocode for computing ...
- 386
2
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1
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451
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Why doesn't reading the ancilla qubit in Quantum Error Correction kill entanglement?
In Quantum Error Correction we have ancilla qubits (in gray) that will be entangled with the pair of bits we want to check.
Because we don't want to directly measure the "main" qubits (in ...
- 209
2
votes
1
answer
85
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Kind of errors on entangled states
I see on this chapter that, when noise applies to an even number of entangled qubits, such noise can be considered as operating only on half of those qubits. This is interesting, but I'm not sure if I'...
- 1,988
4
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1
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1k
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What are the typical gate times for single-qubit and 2-qubit gates for ion trap, superconducting, neutral atom, photonic, spin QC?
What are the typical gate times for single-qubit and 2-qubit gates for
-- ion trap,
-- superconducting,
-- neutral atom,
-- photonic,
-- spin
quantum computers based on today's technologies?
- 365
2
votes
1
answer
332
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How many physical qubits are needed to encode a logical qubit on ion trap, superconducting, neutral atom, photonic QC?
How many physical qubits are needed to encode a logical qubit on an
-- ion trap,
-- superconducting,
-- neutral atom,
-- photonic,
-- spin
quantum computer based on today's technologies?
- 365
4
votes
1
answer
405
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How to limit the error probability in large scale quantum computers
I am quite stumped by the fact that the roadmaps for quantum computers as given by IBM, Google, IonQ, etc. seem to imply a linear/exponential growth in the size of their quantum computers.
Naively, I ...
- 220